Download Anna University B-Tech ME 5th Sem Dynamics Lab Manual Question Paper

1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

--- Content provided by FirstRanker.com ---

Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

--- Content provided by FirstRanker.com ---

levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

--- Content provided by FirstRanker.com ---

Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

--- Content provided by FirstRanker.com ---

To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

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MISSION
VISION

MISSION
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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

--- Content provided by FirstRanker.com ---

DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

--- Content provided by FirstRanker.com ---

V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

--- Content provided by FirstRanker.com ---

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

--- Content provided by FirstRanker.com ---

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

--- Content provided by FirstRanker.com ---

heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

--- Content provided by FirstRanker.com ---

Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

--- Content provided by FirstRanker.com ---

experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

--- Content provided by FirstRanker.com ---

complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Tambaram, ?



DEPARTMENT OF

--- Content provided by FirstRanker.com ---

MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

--- Content provided by FirstRanker.com ---

Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

--- Content provided by FirstRanker.com ---

enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

--- Content provided by FirstRanker.com ---

levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

--- Content provided by FirstRanker.com ---

Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

--- Content provided by FirstRanker.com ---

To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

--- Content provided by FirstRanker.com ---

MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

--- Content provided by FirstRanker.com ---

2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

--- Content provided by FirstRanker.com ---

enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

--- Content provided by FirstRanker.com ---

them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

--- Content provided by FirstRanker.com ---

economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Tambaram, ?

--- Content provided by FirstRanker.com ---

DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

--- Content provided by FirstRanker.com ---

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

--- Content provided by FirstRanker.com ---

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

--- Content provided by FirstRanker.com ---

DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

--- Content provided by FirstRanker.com ---

become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

--- Content provided by FirstRanker.com ---

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

--- Content provided by FirstRanker.com ---

To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

--- Content provided by FirstRanker.com ---

3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

--- Content provided by FirstRanker.com ---

To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

--- Content provided by FirstRanker.com ---

engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

--- Content provided by FirstRanker.com ---

2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

--- Content provided by FirstRanker.com ---

6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

--- Content provided by FirstRanker.com ---

9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

--- Content provided by FirstRanker.com ---

b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

--- Content provided by FirstRanker.com ---

5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

--- Content provided by FirstRanker.com ---

COURSE OBJECTIVES

COURSE OUTCOMES
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Tambaram, ?

--- Content provided by FirstRanker.com ---

DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

--- Content provided by FirstRanker.com ---

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

--- Content provided by FirstRanker.com ---

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

--- Content provided by FirstRanker.com ---

DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

--- Content provided by FirstRanker.com ---

become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

--- Content provided by FirstRanker.com ---

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

--- Content provided by FirstRanker.com ---

To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

--- Content provided by FirstRanker.com ---

3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

--- Content provided by FirstRanker.com ---

To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

--- Content provided by FirstRanker.com ---

engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

--- Content provided by FirstRanker.com ---

2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

--- Content provided by FirstRanker.com ---

6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

--- Content provided by FirstRanker.com ---

9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

--- Content provided by FirstRanker.com ---

1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

--- Content provided by FirstRanker.com ---

b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

--- Content provided by FirstRanker.com ---

3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

--- Content provided by FirstRanker.com ---

5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

--- Content provided by FirstRanker.com ---

b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

--- Content provided by FirstRanker.com ---

10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

--- Content provided by FirstRanker.com ---

c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

--- Content provided by FirstRanker.com ---

COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

--- Content provided by FirstRanker.com ---

10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

--- Content provided by FirstRanker.com ---

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Tambaram, ?

--- Content provided by FirstRanker.com ---

DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

--- Content provided by FirstRanker.com ---

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

--- Content provided by FirstRanker.com ---

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

--- Content provided by FirstRanker.com ---

DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

--- Content provided by FirstRanker.com ---

become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

--- Content provided by FirstRanker.com ---

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

--- Content provided by FirstRanker.com ---

To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

--- Content provided by FirstRanker.com ---

3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

--- Content provided by FirstRanker.com ---

To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

--- Content provided by FirstRanker.com ---

engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

--- Content provided by FirstRanker.com ---

2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

--- Content provided by FirstRanker.com ---

6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

--- Content provided by FirstRanker.com ---

9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

--- Content provided by FirstRanker.com ---

1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

--- Content provided by FirstRanker.com ---

b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

--- Content provided by FirstRanker.com ---

3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

--- Content provided by FirstRanker.com ---

5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

--- Content provided by FirstRanker.com ---

b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

--- Content provided by FirstRanker.com ---

10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

--- Content provided by FirstRanker.com ---

c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

--- Content provided by FirstRanker.com ---

COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

--- Content provided by FirstRanker.com ---

3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

--- Content provided by FirstRanker.com ---

5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

--- Content provided by FirstRanker.com ---

10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

--- Content provided by FirstRanker.com ---

15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

--- Content provided by FirstRanker.com ---

20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

--- Content provided by FirstRanker.com ---

22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

--- Content provided by FirstRanker.com ---

8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

--- Content provided by FirstRanker.com ---

Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

--- Content provided by FirstRanker.com ---

to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

--- Content provided by FirstRanker.com ---

a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

--- Content provided by FirstRanker.com ---

i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

--- Content provided by FirstRanker.com ---

i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

--- Content provided by FirstRanker.com ---

ii. Angular gear
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Tambaram, ?



DEPARTMENT OF

--- Content provided by FirstRanker.com ---

MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

--- Content provided by FirstRanker.com ---

Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

--- Content provided by FirstRanker.com ---

enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

--- Content provided by FirstRanker.com ---

levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

--- Content provided by FirstRanker.com ---

Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

--- Content provided by FirstRanker.com ---

To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

--- Content provided by FirstRanker.com ---

MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

--- Content provided by FirstRanker.com ---

2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

--- Content provided by FirstRanker.com ---

enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

--- Content provided by FirstRanker.com ---

them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

--- Content provided by FirstRanker.com ---

3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

--- Content provided by FirstRanker.com ---

economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

--- Content provided by FirstRanker.com ---

10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

--- Content provided by FirstRanker.com ---

2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

--- Content provided by FirstRanker.com ---

2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

--- Content provided by FirstRanker.com ---

c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

--- Content provided by FirstRanker.com ---

6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

--- Content provided by FirstRanker.com ---

Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

--- Content provided by FirstRanker.com ---

b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

--- Content provided by FirstRanker.com ---

1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

--- Content provided by FirstRanker.com ---

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

--- Content provided by FirstRanker.com ---

Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

--- Content provided by FirstRanker.com ---

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

--- Content provided by FirstRanker.com ---

7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

--- Content provided by FirstRanker.com ---

12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

--- Content provided by FirstRanker.com ---

17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

--- Content provided by FirstRanker.com ---

Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

--- Content provided by FirstRanker.com ---

23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

--- Content provided by FirstRanker.com ---

8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

--- Content provided by FirstRanker.com ---

To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

--- Content provided by FirstRanker.com ---

accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

--- Content provided by FirstRanker.com ---

Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

--- Content provided by FirstRanker.com ---

c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

--- Content provided by FirstRanker.com ---

a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

--- Content provided by FirstRanker.com ---

b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

--- Content provided by FirstRanker.com ---

b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

--- Content provided by FirstRanker.com ---

a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

--- Content provided by FirstRanker.com ---

b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

--- Content provided by FirstRanker.com ---

are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

--- Content provided by FirstRanker.com ---

most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Tambaram, ?

--- Content provided by FirstRanker.com ---

DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

--- Content provided by FirstRanker.com ---

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

--- Content provided by FirstRanker.com ---

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

--- Content provided by FirstRanker.com ---

DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

--- Content provided by FirstRanker.com ---

become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

--- Content provided by FirstRanker.com ---

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

--- Content provided by FirstRanker.com ---

To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

--- Content provided by FirstRanker.com ---

3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

--- Content provided by FirstRanker.com ---

To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

--- Content provided by FirstRanker.com ---

engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

--- Content provided by FirstRanker.com ---

2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

--- Content provided by FirstRanker.com ---

6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

--- Content provided by FirstRanker.com ---

9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

--- Content provided by FirstRanker.com ---

1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

--- Content provided by FirstRanker.com ---

b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

--- Content provided by FirstRanker.com ---

3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

--- Content provided by FirstRanker.com ---

5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

--- Content provided by FirstRanker.com ---

b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

--- Content provided by FirstRanker.com ---

10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

--- Content provided by FirstRanker.com ---

c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

--- Content provided by FirstRanker.com ---

COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

--- Content provided by FirstRanker.com ---

3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

--- Content provided by FirstRanker.com ---

5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

--- Content provided by FirstRanker.com ---

10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

--- Content provided by FirstRanker.com ---

15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

--- Content provided by FirstRanker.com ---

20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

--- Content provided by FirstRanker.com ---

22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

--- Content provided by FirstRanker.com ---

8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

--- Content provided by FirstRanker.com ---

Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

--- Content provided by FirstRanker.com ---

to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

--- Content provided by FirstRanker.com ---

a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

--- Content provided by FirstRanker.com ---

i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

--- Content provided by FirstRanker.com ---

i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

--- Content provided by FirstRanker.com ---

ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

--- Content provided by FirstRanker.com ---

i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

--- Content provided by FirstRanker.com ---

iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

--- Content provided by FirstRanker.com ---

4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

--- Content provided by FirstRanker.com ---

Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

--- Content provided by FirstRanker.com ---

noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

--- Content provided by FirstRanker.com ---

10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

--- Content provided by FirstRanker.com ---

Fig. Spur Gear Terminology
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Tambaram, ?



DEPARTMENT OF

--- Content provided by FirstRanker.com ---

MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

--- Content provided by FirstRanker.com ---

Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

--- Content provided by FirstRanker.com ---

levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

--- Content provided by FirstRanker.com ---

Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

--- Content provided by FirstRanker.com ---

To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

--- Content provided by FirstRanker.com ---

MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

--- Content provided by FirstRanker.com ---

2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

--- Content provided by FirstRanker.com ---

enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

--- Content provided by FirstRanker.com ---

them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

--- Content provided by FirstRanker.com ---

3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

--- Content provided by FirstRanker.com ---

economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

--- Content provided by FirstRanker.com ---

2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

--- Content provided by FirstRanker.com ---

2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

--- Content provided by FirstRanker.com ---

accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

--- Content provided by FirstRanker.com ---

Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

--- Content provided by FirstRanker.com ---

are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

--- Content provided by FirstRanker.com ---

most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

--- Content provided by FirstRanker.com ---

? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

--- Content provided by FirstRanker.com ---

pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

--- Content provided by FirstRanker.com ---

circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

--- Content provided by FirstRanker.com ---

role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
FirstRanker.com - FirstRanker's Choice
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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

--- Content provided by FirstRanker.com ---

enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

--- Content provided by FirstRanker.com ---

levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

--- Content provided by FirstRanker.com ---

Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

--- Content provided by FirstRanker.com ---

To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

--- Content provided by FirstRanker.com ---

MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

--- Content provided by FirstRanker.com ---

2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

--- Content provided by FirstRanker.com ---

enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

--- Content provided by FirstRanker.com ---

them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

--- Content provided by FirstRanker.com ---

3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

--- Content provided by FirstRanker.com ---

economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

--- Content provided by FirstRanker.com ---

10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

--- Content provided by FirstRanker.com ---

2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

--- Content provided by FirstRanker.com ---

2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

--- Content provided by FirstRanker.com ---

c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

--- Content provided by FirstRanker.com ---

6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

--- Content provided by FirstRanker.com ---

Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

--- Content provided by FirstRanker.com ---

b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

--- Content provided by FirstRanker.com ---

1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

--- Content provided by FirstRanker.com ---

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

--- Content provided by FirstRanker.com ---

Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

--- Content provided by FirstRanker.com ---

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

--- Content provided by FirstRanker.com ---

7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

--- Content provided by FirstRanker.com ---

12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

--- Content provided by FirstRanker.com ---

17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

--- Content provided by FirstRanker.com ---

Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

--- Content provided by FirstRanker.com ---

23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

--- Content provided by FirstRanker.com ---

8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

--- Content provided by FirstRanker.com ---

To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

--- Content provided by FirstRanker.com ---

accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

--- Content provided by FirstRanker.com ---

Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

--- Content provided by FirstRanker.com ---

c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

--- Content provided by FirstRanker.com ---

a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

--- Content provided by FirstRanker.com ---

b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

--- Content provided by FirstRanker.com ---

b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

--- Content provided by FirstRanker.com ---

a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

--- Content provided by FirstRanker.com ---

b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

--- Content provided by FirstRanker.com ---

are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

--- Content provided by FirstRanker.com ---

most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

--- Content provided by FirstRanker.com ---

? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

--- Content provided by FirstRanker.com ---

pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

--- Content provided by FirstRanker.com ---

? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

--- Content provided by FirstRanker.com ---

circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

--- Content provided by FirstRanker.com ---

role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

--- Content provided by FirstRanker.com ---

as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

--- Content provided by FirstRanker.com ---

from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

--- Content provided by FirstRanker.com ---

? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

--- Content provided by FirstRanker.com ---

jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

--- Content provided by FirstRanker.com ---

? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

--- Content provided by FirstRanker.com ---

known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

--- Content provided by FirstRanker.com ---

Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

--- Content provided by FirstRanker.com ---

enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

--- Content provided by FirstRanker.com ---

levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

--- Content provided by FirstRanker.com ---

Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

--- Content provided by FirstRanker.com ---

To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

--- Content provided by FirstRanker.com ---

MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

--- Content provided by FirstRanker.com ---

2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

--- Content provided by FirstRanker.com ---

enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

--- Content provided by FirstRanker.com ---

them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

--- Content provided by FirstRanker.com ---

3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

--- Content provided by FirstRanker.com ---

economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

--- Content provided by FirstRanker.com ---

To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

--- Content provided by FirstRanker.com ---

accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

--- Content provided by FirstRanker.com ---

are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

--- Content provided by FirstRanker.com ---

most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

--- Content provided by FirstRanker.com ---

can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

--- Content provided by FirstRanker.com ---

tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

--- Content provided by FirstRanker.com ---

DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

--- Content provided by FirstRanker.com ---

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

--- Content provided by FirstRanker.com ---

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

--- Content provided by FirstRanker.com ---

DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

--- Content provided by FirstRanker.com ---

become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

--- Content provided by FirstRanker.com ---

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

--- Content provided by FirstRanker.com ---

To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

--- Content provided by FirstRanker.com ---

3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

--- Content provided by FirstRanker.com ---

To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

--- Content provided by FirstRanker.com ---

engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

--- Content provided by FirstRanker.com ---

2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

--- Content provided by FirstRanker.com ---

6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

--- Content provided by FirstRanker.com ---

9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

--- Content provided by FirstRanker.com ---

1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

--- Content provided by FirstRanker.com ---

b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

--- Content provided by FirstRanker.com ---

3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

--- Content provided by FirstRanker.com ---

5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

--- Content provided by FirstRanker.com ---

b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

--- Content provided by FirstRanker.com ---

10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

--- Content provided by FirstRanker.com ---

c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

--- Content provided by FirstRanker.com ---

COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

--- Content provided by FirstRanker.com ---

3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

--- Content provided by FirstRanker.com ---

5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

--- Content provided by FirstRanker.com ---

10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

--- Content provided by FirstRanker.com ---

15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

--- Content provided by FirstRanker.com ---

20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

--- Content provided by FirstRanker.com ---

22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

--- Content provided by FirstRanker.com ---

8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

--- Content provided by FirstRanker.com ---

Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

--- Content provided by FirstRanker.com ---

to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

--- Content provided by FirstRanker.com ---

a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

--- Content provided by FirstRanker.com ---

i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

--- Content provided by FirstRanker.com ---

i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

--- Content provided by FirstRanker.com ---

ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

--- Content provided by FirstRanker.com ---

i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

--- Content provided by FirstRanker.com ---

iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

--- Content provided by FirstRanker.com ---

4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

--- Content provided by FirstRanker.com ---

Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

--- Content provided by FirstRanker.com ---

noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

--- Content provided by FirstRanker.com ---

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

--- Content provided by FirstRanker.com ---

describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

--- Content provided by FirstRanker.com ---

known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

--- Content provided by FirstRanker.com ---

shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

--- Content provided by FirstRanker.com ---

those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

--- Content provided by FirstRanker.com ---

efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

--- Content provided by FirstRanker.com ---

helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

--- Content provided by FirstRanker.com ---

direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

--- Content provided by FirstRanker.com ---

Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

--- Content provided by FirstRanker.com ---

DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

--- Content provided by FirstRanker.com ---

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

--- Content provided by FirstRanker.com ---

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

--- Content provided by FirstRanker.com ---

DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

--- Content provided by FirstRanker.com ---

become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

--- Content provided by FirstRanker.com ---

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

--- Content provided by FirstRanker.com ---

To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

--- Content provided by FirstRanker.com ---

3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

--- Content provided by FirstRanker.com ---

To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

--- Content provided by FirstRanker.com ---

engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

--- Content provided by FirstRanker.com ---

2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

--- Content provided by FirstRanker.com ---

6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

--- Content provided by FirstRanker.com ---

9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

--- Content provided by FirstRanker.com ---

b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

--- Content provided by FirstRanker.com ---

Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

--- Content provided by FirstRanker.com ---

To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

--- Content provided by FirstRanker.com ---

3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

--- Content provided by FirstRanker.com ---

To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

--- Content provided by FirstRanker.com ---

engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

--- Content provided by FirstRanker.com ---

5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

--- Content provided by FirstRanker.com ---

2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

--- Content provided by FirstRanker.com ---

6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

--- Content provided by FirstRanker.com ---

9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

--- Content provided by FirstRanker.com ---

--- Content provided by FirstRanker.com ---

6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

--- Content provided by FirstRanker.com ---

1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

--- Content provided by FirstRanker.com ---

b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

--- Content provided by FirstRanker.com ---

3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

--- Content provided by FirstRanker.com ---

5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

--- Content provided by FirstRanker.com ---

b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

--- Content provided by FirstRanker.com ---

10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

--- Content provided by FirstRanker.com ---

c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

--- Content provided by FirstRanker.com ---

COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

--- Content provided by FirstRanker.com ---

3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

--- Content provided by FirstRanker.com ---

10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

--- Content provided by FirstRanker.com ---

22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

--- Content provided by FirstRanker.com ---

8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

--- Content provided by FirstRanker.com ---

Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

--- Content provided by FirstRanker.com ---

to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

--- Content provided by FirstRanker.com ---

a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

--- Content provided by FirstRanker.com ---

Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology

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11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

--- Content provided by FirstRanker.com ---

1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

--- Content provided by FirstRanker.com ---

training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

--- Content provided by FirstRanker.com ---

Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

MISSION

--- Content provided by FirstRanker.com ---

VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
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is committed to provide highly disciplined, conscientious and
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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)

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2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.

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3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:

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Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.

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28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?

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4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.

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9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position

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14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair

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19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

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training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION

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VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms

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Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms

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3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a

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planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of

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one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain

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26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and

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versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed

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? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.

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2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its

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inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.

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3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.
Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same

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kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:

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1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.

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6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:

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From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?

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2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?

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7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.

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12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?

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17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor

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Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:

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1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.

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Tabulation:
Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)

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Degrees


Result:
Thus the kinematics of Universal Joint was studied successfully.

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Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

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training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION

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VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms

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Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms

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3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a

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planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of

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one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain

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26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and

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versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed

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? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.

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2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its

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inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.

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3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.
Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same

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kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:

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1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.

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6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:

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From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?

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2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?

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7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.

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12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?

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17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor

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Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:

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1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.

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Tabulation:
Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)

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Degrees


Result:
Thus the kinematics of Universal Joint was studied successfully.

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Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism

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4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?

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9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?

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14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.

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19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod

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Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.

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3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F

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n
) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)

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2
x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10

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10

(in N/m
2
) (From PSG Data Book)

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Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10

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oscillations
in (Sec)

Time Period
T in

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(Sec)

Frequency (Hz)

Mass Moment of

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Inertia
Kg m
2

FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

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MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

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training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION

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VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms

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Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms

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3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a

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planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of

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one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain

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26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and

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versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed

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? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.

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2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its

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inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.

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3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.
Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same

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kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:

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1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.

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6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:

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From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?

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2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?

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7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.

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12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?

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17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor

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Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:

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1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.

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Tabulation:
Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)

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Degrees


Result:
Thus the kinematics of Universal Joint was studied successfully.

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Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism

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4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?

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9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?

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14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.

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19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod

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Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.

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3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F

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n
) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)

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2
x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10

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10

(in N/m
2
) (From PSG Data Book)

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Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10

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oscillations
in (Sec)

Time Period
T in

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(Sec)

Frequency (Hz)

Mass Moment of

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Inertia
Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:

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The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.


1. Define ? Static force analysis

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2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus

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7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort

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12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed

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17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING

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BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread

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Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)

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Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:

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1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.

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6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:

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Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b

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2
= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:

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From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of

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string
L (m)

Time taken
for ?N? osc.

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T(Sec)
Time taken for
one osc.
(t) Sec
Natural

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frequency F
n
(Hz)
Radius of
gyration (k)

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(mm)


FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)

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2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.

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3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:

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Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.

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28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?

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4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.

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9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position

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14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair

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19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:

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To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft

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is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.

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2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.

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Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of

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universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.

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6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?

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11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity

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16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:

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To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean

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diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.

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Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)

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Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2
x l (in Kg-m

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2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L

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( m)

Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia
Kg m

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2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:

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From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?

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4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem

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9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort

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14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy

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19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:

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To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)

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Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec

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L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.

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3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.

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Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10

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b = ________ (in m) b
1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:

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Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.

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Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.

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Mass added
m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for

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one osc.
(t) Sec
Natural
frequency F
n

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(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?

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6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?

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12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?

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17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?

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Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

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training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION

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VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms

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Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms

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3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a

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planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of

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one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain

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26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and

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versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed

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? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.

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2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its

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inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.

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3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same

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kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:

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1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.

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6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:

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From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?

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2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?

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7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.

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12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?

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17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor

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Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:

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1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.

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Tabulation:
Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)

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Degrees


Result:
Thus the kinematics of Universal Joint was studied successfully.

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Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism

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4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?

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9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?

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14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.

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19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod

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Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.

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3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F

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n
) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)

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2
x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10

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10

(in N/m
2
) (From PSG Data Book)

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Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10

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oscillations
in (Sec)

Time Period
T in

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(Sec)

Frequency (Hz)

Mass Moment of

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Inertia
Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:

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The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.


1. Define ? Static force analysis

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2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus

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7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort

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12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed

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17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING

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BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread

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Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)

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Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:

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1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.

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6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:

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Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b

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2
= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:

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From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of

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string
L (m)

Time taken
for ?N? osc.

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T(Sec)
Time taken for
one osc.
(t) Sec
Natural

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frequency F
n
(Hz)
Radius of
gyration (k)

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(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?

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4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?

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10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance

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15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement

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20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:

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To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:

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Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T
theo

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) = 2? ((K
2
+ h
1
2

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)/gh
1
)
Experimental radius of gyration (K
exp

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) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh
1

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T
2
/4?
2
)- h

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1
2
) (in m)
Where, h
1

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= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp

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(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk

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2
in kg-m
2

Equivalent Length of pendulum (l) = (K

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2
+ h
2
)/h in m
Procedure:

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1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.
Height

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h
1
(m)
Time for 10
oscillations

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t (Sec)
Time for a
oscillation T
(Sec)
Natural frequency

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Fn (Hz)
Experimental
radius of
gyration K (m)
Moment

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of inertia
I
(m)
Equivalent
Length of

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pendulum
l
(m)
Exp
Fn

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(exp)

Theo
Fn
(theo)

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Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)

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2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:

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From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

--- Content provided by FirstRanker.com ---

MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

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MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)

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2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.

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3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:

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Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.

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28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?

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4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.

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9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position

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14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair

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19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:

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To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft

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is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.

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2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.

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Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of

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universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.

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6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?

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11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity

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16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:

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To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean

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diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.

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Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)

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Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2
x l (in Kg-m

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2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L

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( m)

Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia
Kg m

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2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:

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From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?

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4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem

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9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort

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14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy

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19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:

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To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)

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Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec

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L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.

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3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.

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Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10

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b = ________ (in m) b
1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:

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Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.

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Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.

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Mass added
m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for

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one osc.
(t) Sec
Natural
frequency F
n

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(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?

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6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?

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12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?

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17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?

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Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF

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INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally

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Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp

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) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K
2

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+ h
1
2
)/gh
1

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)
Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K

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theo
) = ? ((gh
1
T
2

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/4?
2
)- h
1
2

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) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod

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Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T

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theo
(Hz)
Moment of inertia (I) = mk
2
in kg-m

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2

Equivalent Length of pendulum (l) = (K
2
+ h

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2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.

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3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h
1

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(m)
Time for 10
oscillations
t (Sec)
Time for a

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oscillation T
(Sec)
Natural frequency
Fn (Hz)
Experimental

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radius of
gyration K (m)
Moment
of inertia
I

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(m)
Equivalent
Length of
pendulum
l

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(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

Exp

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K
exp

Theo
K

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theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)

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(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally

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Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Define - Two node frequencies

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2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.

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7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?

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12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.

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17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:

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To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:

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1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and

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weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p

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Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:

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Sl.
No.
Speed
of disc,
N

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rpm
Applied
Load m,
kg
Angle of

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precision
in
Degrees
Time
taken t,

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sec
Observed
direction of
displacement
Angular

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Velocity
(rad/s)
Torque
(N - m)
Observed

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Velocity
m/sec
Theoretical
Velocity
m/sec

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Theoretical
Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:

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From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.

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2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.


1. What is gyroscopic couple?

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2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.

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7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?

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12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration

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Viva-voce

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)

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Lift
in mm
Displacement
in mm
Velocity

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in m/s
Acceleration
(x 10
-3
)

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m/s
2

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2. Jump-speed.

Sl. No.

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Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:

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Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating

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mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam

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4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period

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9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?

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14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.

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19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?


Viva-voce

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

--- Content provided by FirstRanker.com ---

To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

--- Content provided by FirstRanker.com ---

MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

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training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION

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VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms

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Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms

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3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a

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planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of

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one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain

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26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and

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versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed

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? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.

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2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its

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inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.

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3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same

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kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:

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1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.

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6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:

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From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?

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2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?

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7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.

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12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?

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17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor

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Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:

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1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.

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Tabulation:
Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)

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Degrees


Result:
Thus the kinematics of Universal Joint was studied successfully.

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Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism

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4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?

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9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?

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14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.

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19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod

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Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.

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3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F

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n
) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)

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2
x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10

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10

(in N/m
2
) (From PSG Data Book)

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Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10

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oscillations
in (Sec)

Time Period
T in

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(Sec)

Frequency (Hz)

Mass Moment of

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Inertia
Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:

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The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.


1. Define ? Static force analysis

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2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus

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7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort

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12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed

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17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING

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BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread

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Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)

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Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:

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1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.

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6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:

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Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b

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2
= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:

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From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of

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string
L (m)

Time taken
for ?N? osc.

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T(Sec)
Time taken for
one osc.
(t) Sec
Natural

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frequency F
n
(Hz)
Radius of
gyration (k)

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(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?

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4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?

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10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance

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15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement

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20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:

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To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:

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Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T
theo

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) = 2? ((K
2
+ h
1
2

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)/gh
1
)
Experimental radius of gyration (K
exp

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) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh
1

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T
2
/4?
2
)- h

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1
2
) (in m)
Where, h
1

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= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp

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(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk

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2
in kg-m
2

Equivalent Length of pendulum (l) = (K

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2
+ h
2
)/h in m
Procedure:

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1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.
Height

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h
1
(m)
Time for 10
oscillations

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t (Sec)
Time for a
oscillation T
(Sec)
Natural frequency

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Fn (Hz)
Experimental
radius of
gyration K (m)
Moment

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of inertia
I
(m)
Equivalent
Length of

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pendulum
l
(m)
Exp
Fn

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(exp)

Theo
Fn
(theo)

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Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)

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2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:

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From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation

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5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.

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10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?

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15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?

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20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF

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GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc

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with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.

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3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.

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Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec

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Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.
Speed

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of disc,
N
rpm
Applied
Load m,

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kg
Angle of
precision
in
Degrees

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Time
taken t,
sec
Observed
direction of

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displacement
Angular
Velocity
(rad/s)
Torque

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(N - m)
Observed
Velocity
m/sec
Theoretical

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Velocity
m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were

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conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:

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1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching

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5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.

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10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?

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14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the

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displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:

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Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:

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Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod

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2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps

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off is observed.
2. This jump-speed is observed for different loads on the follower.


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Tabulation:
1. Cam profile

Sl. No.

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Angle of
rotation
(degrees)
Lift
in mm

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Displacement
in mm
Velocity
in m/s
Acceleration

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(x 10
-3
)
m/s
2

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2. Jump-speed.

Sl. No.
Load on the
Follower, F (N)

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Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.

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Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:

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The cam mechanism is used in Internal combustion engine for operating rocker arm.
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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?

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6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point

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11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?

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16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring

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mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either

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damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force

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during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m

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Experimental natural frequency, f
n(exp)
=1/t
p
Hz, Where, t

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p
= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz

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Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form

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4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection

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Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural

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frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added
M

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(kg)
Length of the
Spring L
(mm)
Deflection

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(mm)


Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time

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period for
one tp
(sec)
Experimental
natural

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frequency,
f , Hz
Theoretical
natural
frequency

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f Hz Initial Final Initial Final


FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)

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2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.

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3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:

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Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.

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28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?

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4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.

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9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position

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14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair

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19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:

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To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft

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is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.

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2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.

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Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of

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universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.

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6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?

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11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity

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16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:

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To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean

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diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.

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Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)

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Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2
x l (in Kg-m

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2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L

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( m)

Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia
Kg m

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2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:

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From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?

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4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem

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9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort

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14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy

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19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:

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To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)

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Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec

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L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.

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3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.

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Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10

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b = ________ (in m) b
1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:

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Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.

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Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.

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Mass added
m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for

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one osc.
(t) Sec
Natural
frequency F
n

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(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?

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6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?

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12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?

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17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?

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Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF

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INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally

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Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp

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) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K
2

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+ h
1
2
)/gh
1

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)
Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K

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theo
) = ? ((gh
1
T
2

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/4?
2
)- h
1
2

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) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod

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Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T

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theo
(Hz)
Moment of inertia (I) = mk
2
in kg-m

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2

Equivalent Length of pendulum (l) = (K
2
+ h

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2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.

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3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h
1

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(m)
Time for 10
oscillations
t (Sec)
Time for a

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oscillation T
(Sec)
Natural frequency
Fn (Hz)
Experimental

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radius of
gyration K (m)
Moment
of inertia
I

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(m)
Equivalent
Length of
pendulum
l

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(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

Exp

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K
exp

Theo
K

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theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)

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(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally

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Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Define - Two node frequencies

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2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.

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7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?

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12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.

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17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:

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To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:

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1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and

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weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p

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Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:

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Sl.
No.
Speed
of disc,
N

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rpm
Applied
Load m,
kg
Angle of

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precision
in
Degrees
Time
taken t,

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sec
Observed
direction of
displacement
Angular

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Velocity
(rad/s)
Torque
(N - m)
Observed

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Velocity
m/sec
Theoretical
Velocity
m/sec

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Theoretical
Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:

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From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.

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2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.


1. What is gyroscopic couple?

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2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.

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7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?

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12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration

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Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE

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AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism

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Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a

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rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.

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Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide

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3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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1. Cam profile

Sl. No.
Angle of
rotation

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(degrees)
Lift
in mm
Displacement
in mm

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Velocity
in m/s
Acceleration
(x 10
-3

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)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and

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to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.

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3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?

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8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam

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13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.

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18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:

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Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings

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fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,

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which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)

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=1/t
p
Hz, Where, t
p
= 2?g/ ?

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Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness

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1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness

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Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period

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3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical

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spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:

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The spring mass system concept is used to designing the helical spring.

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Sl
no

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Mass
added
M
(kg)
Length of the

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Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10

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oscillation
T (sec)
Time
period for
one tp

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(sec)
Experimental
natural
frequency,
f , Hz

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Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?

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6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?

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11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.

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16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

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MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)

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2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.

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3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:

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Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.

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28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?

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4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.

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9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position

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14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair

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19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:

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To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft

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is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.

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2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.

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Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of

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universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.

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6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?

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11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity

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16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:

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To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean

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diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.

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Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)

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Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2
x l (in Kg-m

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2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L

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( m)

Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia
Kg m

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2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:

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From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?

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4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem

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9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort

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14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy

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19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:

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To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)

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Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec

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L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.

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3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.

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Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10

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b = ________ (in m) b
1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:

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Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.

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Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.

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Mass added
m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for

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one osc.
(t) Sec
Natural
frequency F
n

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(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?

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6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?

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12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?

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17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?

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Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF

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INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally

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Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp

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) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K
2

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+ h
1
2
)/gh
1

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)
Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K

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theo
) = ? ((gh
1
T
2

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/4?
2
)- h
1
2

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) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod

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Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T

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theo
(Hz)
Moment of inertia (I) = mk
2
in kg-m

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2

Equivalent Length of pendulum (l) = (K
2
+ h

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2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.

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3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h
1

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(m)
Time for 10
oscillations
t (Sec)
Time for a

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oscillation T
(Sec)
Natural frequency
Fn (Hz)
Experimental

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radius of
gyration K (m)
Moment
of inertia
I

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(m)
Equivalent
Length of
pendulum
l

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(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

Exp

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K
exp

Theo
K

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theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)

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(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally

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Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Define - Two node frequencies

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2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.

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7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?

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12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.

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17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:

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To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:

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1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and

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weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p

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Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:

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Sl.
No.
Speed
of disc,
N

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rpm
Applied
Load m,
kg
Angle of

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precision
in
Degrees
Time
taken t,

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sec
Observed
direction of
displacement
Angular

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Velocity
(rad/s)
Torque
(N - m)
Observed

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Velocity
m/sec
Theoretical
Velocity
m/sec

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Theoretical
Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:

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From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.

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2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.


1. What is gyroscopic couple?

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2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.

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7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?

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12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration

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Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE

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AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism

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Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a

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rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.

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Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide

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3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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1. Cam profile

Sl. No.
Angle of
rotation

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(degrees)
Lift
in mm
Displacement
in mm

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Velocity
in m/s
Acceleration
(x 10
-3

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)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and

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to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.

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3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?

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8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam

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13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.

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18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:

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Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings

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fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,

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which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)

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=1/t
p
Hz, Where, t
p
= 2?g/ ?

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Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness

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1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness

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Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
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2. Note the corresponding time taken for 10 oscillations and calculate time period

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3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical

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spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:

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The spring mass system concept is used to designing the helical spring.

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Sl
no

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Mass
added
M
(kg)
Length of the

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Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10

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oscillation
T (sec)
Time
period for
one tp

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(sec)
Experimental
natural
frequency,
f , Hz

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Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?

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6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?

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11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.

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16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND

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FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped

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vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from

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the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.

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3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.

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6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.

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9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.

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13. Press the recorder platform on the pen gently. Pen should be wet with ink.
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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.

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16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.
Length

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L
1 (mm)
No. of oscillations
n
Time for n

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oscillation
T (s)
Periodic time
(Expt.) T
Natural

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frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)

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L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.
Speed

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rpm
Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system

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Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?

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5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in

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torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.

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13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)

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Lift
in mm
Displacement
in mm
Velocity

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in m/s
Acceleration
(x 10
-3
)

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m/s
2

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2. Jump-speed.

Sl. No.

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Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:

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Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating

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mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam

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4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period

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9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?

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14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.

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19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch

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Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical

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motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.

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Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t

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p
Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f

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n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.

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2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency

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1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.

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Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass

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added
M
(kg)
Length of the
Spring L

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(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10
oscillation

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T (sec)
Time
period for
one tp
(sec)

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Experimental
natural
frequency,
f , Hz
Theoretical

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natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What are the causes and effect of vibration?

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2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?

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7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?

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12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.

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17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES

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Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball

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bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-

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chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above

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position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.

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7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.

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10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.

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48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.

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Observation table:
Free vibration of a spring mass system
Sl. No.
Length
L

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1 (mm)
No. of oscillations
n
Time for n
oscillation

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T (s)
Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)

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Forced vibration of a spring mass system

Sl. No.
Speed
rpm

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Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)

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The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:

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The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.

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6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?

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10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.

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14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:

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Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital

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indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2

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and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm

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2
, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm

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Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.

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5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

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MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:

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Free vibration of a spring mass system
Sl. No.
Length
L
1 (mm)

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No. of oscillations
n
Time for n
oscillation
T (s)

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Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency

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c.p.s
Amplitude
mm

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)

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Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock

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absorber.



1. What is neutral layer?

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2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance

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7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section

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15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses

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Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.

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Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.

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2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2

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, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:

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1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.

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6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:

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Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.
Applied

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mass
m (kg)
Deflection
(mm)
Theoretical

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deflection
T
(mm)
Experimental
Stiffness

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k (N/mm)
Theoretical
Stiffness
k (N/mm)
Natural

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frequency f n
(Hz)


Result:

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Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.

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5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?

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10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance

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15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow

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20. Define - Obliquity

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Viva-voce

FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.

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2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?

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7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?

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12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?

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17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load

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Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T

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= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?
T

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= Wa
2
b
2
/3EI for offset concentrated load.

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Defection at the center, ?
T
= 5wl
4
/384EI for uniformly distributed load.

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I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n

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= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m

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Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.

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Mass added
m , kg
Experimental
Deflection
?, m

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Theoretical
Deflection
?
T
, m

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Theoretical
Nat. freq.
f
n
, Hz

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Experimental
Stiffness
K, N/m
Theoretical
Stiffness

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K, N/m

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)

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Lift
in mm
Displacement
in mm
Velocity

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in m/s
Acceleration
(x 10
-3
)

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m/s
2

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2. Jump-speed.

Sl. No.

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Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:

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Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating

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mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam

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4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period

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9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?

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14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.

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19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch

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Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical

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motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.

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Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t

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p
Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f

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n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.

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2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency

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1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.

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Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass

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added
M
(kg)
Length of the
Spring L

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(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10
oscillation

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T (sec)
Time
period for
one tp
(sec)

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Experimental
natural
frequency,
f , Hz
Theoretical

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natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What are the causes and effect of vibration?

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2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?

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7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?

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12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.

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17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES

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Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball

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bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-

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chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above

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position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.

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7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.

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10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.

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48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.

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Observation table:
Free vibration of a spring mass system
Sl. No.
Length
L

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1 (mm)
No. of oscillations
n
Time for n
oscillation

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T (s)
Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)

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Forced vibration of a spring mass system

Sl. No.
Speed
rpm

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Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)

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The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:

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The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.

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6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?

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10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.

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14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:

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Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital

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indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2

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and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm

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2
, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm

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Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.

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5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:

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Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.

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Applied
mass
m (kg)
Deflection
(mm)

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Theoretical
deflection
T
(mm)
Experimental

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Stiffness
k (N/mm)
Theoretical
Stiffness
k (N/mm)

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Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the

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cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment

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4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?

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9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.

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14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.

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19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses

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Formulae used:
Defection at the center, ?
T
= Wl
3

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/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa
2

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b
2
/3EI for offset concentrated load.
Defection at the center, ?
T

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= 5wl
4
/384EI for uniformly distributed load.
I = bd
3

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/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s

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2
and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.

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2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg

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Experimental
Deflection
?, m
Theoretical
Deflection

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?
T
, m
Theoretical
Nat. freq.

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f
n
, Hz
Experimental
Stiffness

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K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency

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3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l

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3
for center load,
= 3EIl/a
2
b

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2
for offset load,
= 384EI/5l
3
for uniformly distributed load

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Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply

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supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)

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2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.

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3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:

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Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.

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28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?

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4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.

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9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position

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14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair

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19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:

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To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft

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is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.

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2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.

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Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of

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universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.

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6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?

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11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity

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16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:

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To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean

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diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.

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Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)

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Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2
x l (in Kg-m

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2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L

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( m)

Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia
Kg m

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2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:

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From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?

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4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem

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9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort

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14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy

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19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:

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To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)

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Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec

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L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.

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3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.

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Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10

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b = ________ (in m) b
1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:

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Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.

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Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.

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Mass added
m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for

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one osc.
(t) Sec
Natural
frequency F
n

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(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?

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6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?

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12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?

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17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?

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Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF

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INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally

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Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp

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) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K
2

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+ h
1
2
)/gh
1

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)
Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K

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theo
) = ? ((gh
1
T
2

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/4?
2
)- h
1
2

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) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod

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Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T

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theo
(Hz)
Moment of inertia (I) = mk
2
in kg-m

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2

Equivalent Length of pendulum (l) = (K
2
+ h

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2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.

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3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h
1

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(m)
Time for 10
oscillations
t (Sec)
Time for a

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oscillation T
(Sec)
Natural frequency
Fn (Hz)
Experimental

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radius of
gyration K (m)
Moment
of inertia
I

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(m)
Equivalent
Length of
pendulum
l

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(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

Exp

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K
exp

Theo
K

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theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)

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(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally

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Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Define - Two node frequencies

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2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.

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7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?

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12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.

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17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:

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To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:

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1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and

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weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p

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Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:

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Sl.
No.
Speed
of disc,
N

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rpm
Applied
Load m,
kg
Angle of

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precision
in
Degrees
Time
taken t,

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sec
Observed
direction of
displacement
Angular

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Velocity
(rad/s)
Torque
(N - m)
Observed

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Velocity
m/sec
Theoretical
Velocity
m/sec

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Theoretical
Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:

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From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.

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2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.


1. What is gyroscopic couple?

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2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.

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7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?

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12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration

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Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE

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AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism

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Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a

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rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.

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Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide

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3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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1. Cam profile

Sl. No.
Angle of
rotation

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(degrees)
Lift
in mm
Displacement
in mm

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Velocity
in m/s
Acceleration
(x 10
-3

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)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and

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to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.

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3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?

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8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam

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13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.

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18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:

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Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings

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fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,

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which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)

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=1/t
p
Hz, Where, t
p
= 2?g/ ?

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Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness

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1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness

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Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period

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3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical

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spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:

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The spring mass system concept is used to designing the helical spring.

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Sl
no

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Mass
added
M
(kg)
Length of the

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Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10

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oscillation
T (sec)
Time
period for
one tp

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(sec)
Experimental
natural
frequency,
f , Hz

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Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?

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6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?

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11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.

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16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND

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FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped

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vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from

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the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.

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3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.

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6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.

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9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.

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13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.

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16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.
Length

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L
1 (mm)
No. of oscillations
n
Time for n

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oscillation
T (s)
Periodic time
(Expt.) T
Natural

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frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)

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L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.
Speed

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rpm
Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system

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Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?

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5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in

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torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.

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13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses

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Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the

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beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s

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2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm

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E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4
= bh3/12

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3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.

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4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.

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51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.

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Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.

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No.
Applied
mass
m (kg)
Deflection

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(mm)
Theoretical
deflection
T
(mm)

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Experimental
Stiffness
k (N/mm)
Theoretical
Stiffness

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k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:

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From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.
2. What is meant by overhanging beam?

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3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure

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8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?

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13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?

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18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:

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Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T
= Wl

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3
/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa

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2
b
2
/3EI for offset concentrated load.
Defection at the center, ?

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T
= 5wl
4
/384EI for uniformly distributed load.
I = bd

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3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz

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Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m
Procedure:

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1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.
Mass added

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m , kg
Experimental
Deflection
?, m
Theoretical

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Deflection
?
T
, m
Theoretical

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Nat. freq.
f
n
, Hz
Experimental

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Stiffness
K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)

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2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T

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= 48EI/l
3
for center load,
= 3EIl/a
2

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b
2
for offset load,
= 384EI/5l
3

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for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?

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4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.

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9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve

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14. What is phase response curve?
15. What is force isolation?

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Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)

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Lift
in mm
Displacement
in mm
Velocity

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in m/s
Acceleration
(x 10
-3
)

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m/s
2

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2. Jump-speed.

Sl. No.

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Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:

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Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating

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mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam

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4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period

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9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?

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14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.

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19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch

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Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical

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motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.

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Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t

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p
Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f

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n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.

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2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency

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1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.

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Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass

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added
M
(kg)
Length of the
Spring L

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(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10
oscillation

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T (sec)
Time
period for
one tp
(sec)

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Experimental
natural
frequency,
f , Hz
Theoretical

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natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What are the causes and effect of vibration?

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2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?

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7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?

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12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.

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17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES

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Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball

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bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-

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chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above

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position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.

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7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.

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10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.

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48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.

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Observation table:
Free vibration of a spring mass system
Sl. No.
Length
L

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1 (mm)
No. of oscillations
n
Time for n
oscillation

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T (s)
Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)

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Forced vibration of a spring mass system

Sl. No.
Speed
rpm

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Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)

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The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:

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The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.

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6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?

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10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.

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14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:

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Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital

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indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2

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and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm

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2
, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm

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Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.

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5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:

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Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.

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Applied
mass
m (kg)
Deflection
(mm)

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Theoretical
deflection
T
(mm)
Experimental

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Stiffness
k (N/mm)
Theoretical
Stiffness
k (N/mm)

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Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the

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cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment

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4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?

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9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.

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14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.

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19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses

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Formulae used:
Defection at the center, ?
T
= Wl
3

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/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa
2

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b
2
/3EI for offset concentrated load.
Defection at the center, ?
T

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= 5wl
4
/384EI for uniformly distributed load.
I = bd
3

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/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s

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2
and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.

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2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg

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Experimental
Deflection
?, m
Theoretical
Deflection

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?
T
, m
Theoretical
Nat. freq.

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f
n
, Hz
Experimental
Stiffness

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K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency

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3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l

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3
for center load,
= 3EIl/a
2
b

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2
for offset load,
= 384EI/5l
3
for uniformly distributed load

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Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply

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supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.

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5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?

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10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?

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15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM

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Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:

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1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.

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Formulae:
Let, L ? Length of shaft (in m)
I
A
and I

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A ? MI of disc A and B respectively (in Kg-m
2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)

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W ? Weight attached to cross arm
I
A
? (W
A

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/g) x (D
A
/8)
2
= m

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A
. D
A
/8
2

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I
B
? (W
B
/g) x (D

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A
/8)
2
+ (2W
1

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/g)x(R/8)
2
= (m
B
. D

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B
/8) + (2mR /8 )
Dia of disc A (D
A
) = m

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Dia of disc B (D
B
) = m
Weight of disc A (m
A

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) = Kg
Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m

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Torsional stiffness of shaft (k
t
) = G.Ip/L

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:

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Free vibration of a spring mass system
Sl. No.
Length
L
1 (mm)

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No. of oscillations
n
Time for n
oscillation
T (s)

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Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency

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c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)

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Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock

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absorber.



1. What is neutral layer?

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2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance

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7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section

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15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses

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Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.

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Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.

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2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2

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, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:

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1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.

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6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:

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Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.
Applied

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mass
m (kg)
Deflection
(mm)
Theoretical

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deflection
T
(mm)
Experimental
Stiffness

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k (N/mm)
Theoretical
Stiffness
k (N/mm)
Natural

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frequency f n
(Hz)


Result:

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Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.

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5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?

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10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance

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15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow

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20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:

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To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:

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Defection at the center, ?
T
= Wl
3
/48EI for central concentrated load.

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Defection at the load point, ?
T
= Wa
2
b

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2
/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl

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4
/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.

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Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2

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and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.

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3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg
Experimental

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Deflection
?, m
Theoretical
Deflection
?

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T
, m
Theoretical
Nat. freq.
f

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n
, Hz
Experimental
Stiffness
K, N/m

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Theoretical
Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency

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Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l
3

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for center load,
= 3EIl/a
2
b
2

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for offset load,
= 384EI/5l
3
for uniformly distributed load
Result:

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Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section

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6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.

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11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:

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To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.

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2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:

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Let, L ? Length of shaft (in m)
I
A
and I
A ? MI of disc A and B respectively (in Kg-m

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2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm

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I
A
? (W
A
/g) x (D

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A
/8)
2
= m
A

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. D
A
/8
2
I

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B
? (W
B
/g) x (D
A

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/8)
2
+ (2W
1
/g)x(R/8)

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2
= (m
B
. D
B

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/8) + (2mR /8 )
Dia of disc A (D
A
) = m
Dia of disc B (D

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B
) = m
Weight of disc A (m
A
) = Kg

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Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k

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t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T
theo

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= 2? ((I
A.
I
B
) / k

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t
(I
A
+ I
B

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)) in Sec
T
exp
= t/N in Sec
Where,

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G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)

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No. of
oscillation
s
Time
for 10

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oscillations
Time
for 1
oscillation
MMI of disc A

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(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I

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A
= Kg ? m
2

2. Moment of Inertial of I

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B
= Kg ? m
2

3. Theoretical Frequency = Hz

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4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:

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The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)

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2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.

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3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:

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Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.

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28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?

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4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.

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9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position

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14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair

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19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:

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To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft

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is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.

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2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.

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Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of

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universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.

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6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?

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11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity

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16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:

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To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean

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diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.

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Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)

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Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2
x l (in Kg-m

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2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L

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( m)

Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia
Kg m

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2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:

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From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?

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4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem

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9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort

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14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy

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19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:

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To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)

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Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec

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L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.

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3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.

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Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10

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b = ________ (in m) b
1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:

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Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.

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Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.

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Mass added
m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for

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one osc.
(t) Sec
Natural
frequency F
n

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(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?

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6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?

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12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?

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17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?

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Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF

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INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally

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Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp

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) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K
2

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+ h
1
2
)/gh
1

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)
Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K

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theo
) = ? ((gh
1
T
2

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/4?
2
)- h
1
2

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) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod

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Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T

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theo
(Hz)
Moment of inertia (I) = mk
2
in kg-m

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2

Equivalent Length of pendulum (l) = (K
2
+ h

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2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.

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3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h
1

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(m)
Time for 10
oscillations
t (Sec)
Time for a

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oscillation T
(Sec)
Natural frequency
Fn (Hz)
Experimental

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radius of
gyration K (m)
Moment
of inertia
I

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(m)
Equivalent
Length of
pendulum
l

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(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

Exp

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K
exp

Theo
K

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theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)

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(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally

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Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Define - Two node frequencies

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2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.

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7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?

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12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.

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17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:

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To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:

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1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and

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weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p

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Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:

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Sl.
No.
Speed
of disc,
N

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rpm
Applied
Load m,
kg
Angle of

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precision
in
Degrees
Time
taken t,

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sec
Observed
direction of
displacement
Angular

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Velocity
(rad/s)
Torque
(N - m)
Observed

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Velocity
m/sec
Theoretical
Velocity
m/sec

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Theoretical
Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:

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From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.

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2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.


1. What is gyroscopic couple?

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2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.

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7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?

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12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration

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Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE

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AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism

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Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a

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rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.

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Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide

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3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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1. Cam profile

Sl. No.
Angle of
rotation

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(degrees)
Lift
in mm
Displacement
in mm

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Velocity
in m/s
Acceleration
(x 10
-3

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)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and

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to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.

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3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?

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8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam

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13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.

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18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:

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Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings

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fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,

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which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)

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=1/t
p
Hz, Where, t
p
= 2?g/ ?

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Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness

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1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness

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Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period

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3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical

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spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:

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The spring mass system concept is used to designing the helical spring.

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Sl
no

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Mass
added
M
(kg)
Length of the

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Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10

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oscillation
T (sec)
Time
period for
one tp

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(sec)
Experimental
natural
frequency,
f , Hz

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Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?

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6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?

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11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.

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16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND

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FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped

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vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from

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the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.

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3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.

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6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.

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9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.

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13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.

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16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.
Length

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L
1 (mm)
No. of oscillations
n
Time for n

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oscillation
T (s)
Periodic time
(Expt.) T
Natural

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frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)

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L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.
Speed

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rpm
Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system

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Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?

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5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in

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torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.

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13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses

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Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the

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beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s

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2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm

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E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4
= bh3/12

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3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.

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4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.

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51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.

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Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.

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No.
Applied
mass
m (kg)
Deflection

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(mm)
Theoretical
deflection
T
(mm)

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Experimental
Stiffness
k (N/mm)
Theoretical
Stiffness

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k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:

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From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.
2. What is meant by overhanging beam?

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3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure

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8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?

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13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?

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18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:

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Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T
= Wl

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3
/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa

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2
b
2
/3EI for offset concentrated load.
Defection at the center, ?

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T
= 5wl
4
/384EI for uniformly distributed load.
I = bd

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3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz

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Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m
Procedure:

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1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.
Mass added

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m , kg
Experimental
Deflection
?, m
Theoretical

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Deflection
?
T
, m
Theoretical

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Nat. freq.
f
n
, Hz
Experimental

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Stiffness
K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)

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2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T

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= 48EI/l
3
for center load,
= 3EIl/a
2

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b
2
for offset load,
= 384EI/5l
3

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for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?

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4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.

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9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve

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14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL

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FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock

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Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and

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tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I
A

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and I
A ? MI of disc A and B respectively (in Kg-m
2
)
D ? Dia of the shaft (in m)

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R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A
? (W

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A
/g) x (D
A
/8)
2

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= m
A
. D
A
/8

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2
I
B
? (W
B

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/g) x (D
A
/8)
2
+ (2W

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1
/g)x(R/8)
2
= (m
B

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. D
B
/8) + (2mR /8 )
Dia of disc A (D
A

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) = m
Dia of disc B (D
B
) = m
Weight of disc A (m

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A
) = Kg
Weight of disc B (m
B
) = Kg

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Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:

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T
theo
= 2? ((I
A.
I

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B
) / k
t
(I
A

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+ I
B
)) in Sec
T
exp

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= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4

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/32) in m
Tabulation:

Sl.
No.

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Load
(Kg)
No. of
oscillation
s

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Time
for 10
oscillations
Time
for 1

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oscillation
MMI of disc A
(I
A
) Kg-m

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2

MMI of disc B
(I
B

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) Kg-m
2

Experimental
Frequency

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Hz


Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The

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results are:
1. Moment of Inertial of I
A
= Kg ? m
2

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2. Moment of Inertial of I
B
= Kg ? m
2

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3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double

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rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Define - Torsional vibration

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2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?

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6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.

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10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?

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15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?

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20. Mention important types of free vibrations.


Viva-voce

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

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training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION

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VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms

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Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms

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3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a

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planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of

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one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain

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26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and

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versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed

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? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.

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2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its

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inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.

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3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same

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kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:

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1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.

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6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:

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From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?

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2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?

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7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.

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12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?

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17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor

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Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:

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1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.

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Tabulation:
Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)

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Degrees


Result:
Thus the kinematics of Universal Joint was studied successfully.

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Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism

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4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?

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9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?

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14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.

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19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod

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Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.

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3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F

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n
) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)

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2
x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10

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10

(in N/m
2
) (From PSG Data Book)

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Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10

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oscillations
in (Sec)

Time Period
T in

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(Sec)

Frequency (Hz)

Mass Moment of

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Inertia
Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:

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The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.


1. Define ? Static force analysis

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2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus

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7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort

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12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed

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17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING

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BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread

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Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)

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Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:

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1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.

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6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:

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Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b

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2
= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:

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From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of

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string
L (m)

Time taken
for ?N? osc.

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T(Sec)
Time taken for
one osc.
(t) Sec
Natural

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frequency F
n
(Hz)
Radius of
gyration (k)

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(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?

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4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?

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10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance

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15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement

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20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:

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To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:

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Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T
theo

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) = 2? ((K
2
+ h
1
2

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)/gh
1
)
Experimental radius of gyration (K
exp

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) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh
1

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T
2
/4?
2
)- h

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1
2
) (in m)
Where, h
1

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= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp

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(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk

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2
in kg-m
2

Equivalent Length of pendulum (l) = (K

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2
+ h
2
)/h in m
Procedure:

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1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.
Height

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h
1
(m)
Time for 10
oscillations

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t (Sec)
Time for a
oscillation T
(Sec)
Natural frequency

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Fn (Hz)
Experimental
radius of
gyration K (m)
Moment

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of inertia
I
(m)
Equivalent
Length of

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pendulum
l
(m)
Exp
Fn

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(exp)

Theo
Fn
(theo)

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Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)

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2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:

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From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation

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5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.

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10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?

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15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?

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20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF

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GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc

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with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.

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3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.

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Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec

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Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.
Speed

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of disc,
N
rpm
Applied
Load m,

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kg
Angle of
precision
in
Degrees

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Time
taken t,
sec
Observed
direction of

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displacement
Angular
Velocity
(rad/s)
Torque

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(N - m)
Observed
Velocity
m/sec
Theoretical

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Velocity
m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were

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conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:

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1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching

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5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.

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10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?

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14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the

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displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:

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Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:

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Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod

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2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps

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off is observed.
2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.

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Angle of
rotation
(degrees)
Lift
in mm

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Displacement
in mm
Velocity
in m/s
Acceleration

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(x 10
-3
)
m/s
2

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2. Jump-speed.

Sl. No.
Load on the
Follower, F (N)

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Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.

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Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:

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The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?

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6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point

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11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?

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16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring

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mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either

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damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force

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during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m

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Experimental natural frequency, f
n(exp)
=1/t
p
Hz, Where, t

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p
= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz

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Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form

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4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection

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Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural

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frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added
M

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(kg)
Length of the
Spring L
(mm)
Deflection

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(mm)


Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time

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period for
one tp
(sec)
Experimental
natural

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frequency,
f , Hz
Theoretical
natural
frequency

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f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?

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4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration

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9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?

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14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?

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19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system

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Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.

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The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:

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1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp

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the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1

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.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust

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the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system

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Sl. No.
Length
L
1 (mm)
No. of oscillations

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n
Time for n
oscillation
T (s)
Periodic time

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(Expt.) T
Natural
frequency(Expt.)

Where,

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M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency
c.p.s

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Amplitude
mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:

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From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?

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3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?

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8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:

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To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:

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Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:

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1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI

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Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm

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4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.

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2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.

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7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass

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m (kg)
Deflection
(mm)
Theoretical
deflection

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T
(mm)
Experimental
Stiffness
k (N/mm)

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Theoretical
Stiffness
k (N/mm)
Natural
frequency f n

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(Hz)


Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the

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frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:

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The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.

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6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?

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11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?

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16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset

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concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?

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T
= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?

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T
= Wa
2
b
2

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/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl
4

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/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f

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n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and

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? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.

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Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

Sl.

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No.
Mass added
m , kg
Experimental
Deflection

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?, m
Theoretical
Deflection
?
T

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, m
Theoretical
Nat. freq.
f
n

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, Hz
Experimental
Stiffness
K, N/m
Theoretical

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Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm

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Stiffness theoretical, K = W/ ?
T
= 48EI/l
3
for center load,

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= 3EIl/a
2
b
2
for offset load,

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= 384EI/5l
3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is

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experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:

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The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.

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2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.

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7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity

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12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system

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Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.

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3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)

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I
A
and I
A ? MI of disc A and B respectively (in Kg-m
2

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)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I

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A
? (W
A
/g) x (D
A

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/8)
2
= m
A
. D

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A
/8
2
I
B

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? (W
B
/g) x (D
A
/8)

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2
+ (2W
1
/g)x(R/8)
2

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= (m
B
. D
B
/8) + (2mR /8 )

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Dia of disc A (D
A
) = m
Dia of disc B (D
B

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) = m
Weight of disc A (m
A
) = Kg
Weight of disc B (m

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B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t

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) = G.Ip/L



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Time period:
T
theo
= 2? ((I

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A.
I
B
) / k
t

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(I
A
+ I
B
)) in Sec

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T
exp
= t/N in Sec
Where,
G ? Modulus of rigidity

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Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)
No. of

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oscillation
s
Time
for 10
oscillations

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Time
for 1
oscillation
MMI of disc A
(I

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A
) Kg-m
2

MMI of disc B

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(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A

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= Kg ? m
2

2. Moment of Inertial of I
B

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= Kg ? m
2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz

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Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.

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5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion

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8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.

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13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.

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18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up

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Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is

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subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60

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Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm

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K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously

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4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.

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2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?

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7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?

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12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?

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17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load

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Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T

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= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?
T

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= Wa
2
b
2
/3EI for offset concentrated load.

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Defection at the center, ?
T
= 5wl
4
/384EI for uniformly distributed load.

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I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n

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= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m

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Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.

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Mass added
m , kg
Experimental
Deflection
?, m

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Theoretical
Deflection
?
T
, m

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Theoretical
Nat. freq.
f
n
, Hz

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Experimental
Stiffness
K, N/m
Theoretical
Stiffness

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K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:

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1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?

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T
= 48EI/l
3
for center load,
= 3EIl/a

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2
b
2
for offset load,
= 384EI/5l

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3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.

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3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.

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8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.

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13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:

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Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.

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4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I

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A
and I
A ? MI of disc A and B respectively (in Kg-m
2
)

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D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A

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? (W
A
/g) x (D
A
/8)

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2
= m
A
. D
A

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/8
2
I
B
? (W

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B
/g) x (D
A
/8)
2

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+ (2W
1
/g)x(R/8)
2
= (m

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B
. D
B
/8) + (2mR /8 )
Dia of disc A (D

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A
) = m
Dia of disc B (D
B
) = m

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Weight of disc A (m
A
) = Kg
Weight of disc B (m
B

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) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I
A.

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I
B
) / k
t
(I

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A
+ I
B
)) in Sec
T

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exp
= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d

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4
/32) in m
Tabulation:

Sl.

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No.
Load
(Kg)
No. of
oscillation

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s
Time
for 10
oscillations
Time

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for 1
oscillation
MMI of disc A
(I
A

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) Kg-m
2

MMI of disc B
(I

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B
) Kg-m
2

Experimental

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Frequency
Hz


Result:

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Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A
= Kg ? m

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2

2. Moment of Inertial of I
B
= Kg ? m

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2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:

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From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional

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vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.

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9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.

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14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity

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19. What is dry friction damper?
20. Mention important types of free vibrations.


Viva-voce

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59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up
Description:

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The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts

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radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,

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f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)

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Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.

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5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.

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Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?

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3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?

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8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?

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13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?

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Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology

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11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)

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Lift
in mm
Displacement
in mm
Velocity

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in m/s
Acceleration
(x 10
-3
)

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m/s
2

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2. Jump-speed.

Sl. No.

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Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:

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Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating

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mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam

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4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period

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9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?

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14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.

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19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch

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Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical

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motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.

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Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t

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p
Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f

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n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.

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2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency

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1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.

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Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass

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added
M
(kg)
Length of the
Spring L

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(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10
oscillation

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T (sec)
Time
period for
one tp
(sec)

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Experimental
natural
frequency,
f , Hz
Theoretical

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natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What are the causes and effect of vibration?

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2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?

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7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?

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12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.

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17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES

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Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball

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bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-

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chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above

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position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.

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7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.

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10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.

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48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.

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Observation table:
Free vibration of a spring mass system
Sl. No.
Length
L

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1 (mm)
No. of oscillations
n
Time for n
oscillation

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T (s)
Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)

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Forced vibration of a spring mass system

Sl. No.
Speed
rpm

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Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)

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The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:

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The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.

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6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?

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10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.

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14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:

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Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital

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indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2

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and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm

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2
, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm

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Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.

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5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:

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Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.

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Applied
mass
m (kg)
Deflection
(mm)

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Theoretical
deflection
T
(mm)
Experimental

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Stiffness
k (N/mm)
Theoretical
Stiffness
k (N/mm)

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Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the

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cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment

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4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?

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9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.

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14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.

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19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses

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Formulae used:
Defection at the center, ?
T
= Wl
3

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/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa
2

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b
2
/3EI for offset concentrated load.
Defection at the center, ?
T

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= 5wl
4
/384EI for uniformly distributed load.
I = bd
3

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/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s

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2
and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.

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2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg

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Experimental
Deflection
?, m
Theoretical
Deflection

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?
T
, m
Theoretical
Nat. freq.

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f
n
, Hz
Experimental
Stiffness

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K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency

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3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l

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3
for center load,
= 3EIl/a
2
b

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2
for offset load,
= 384EI/5l
3
for uniformly distributed load

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Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply

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supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.

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5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?

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10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?

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15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM

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Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:

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1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.

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Formulae:
Let, L ? Length of shaft (in m)
I
A
and I

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A ? MI of disc A and B respectively (in Kg-m
2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)

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W ? Weight attached to cross arm
I
A
? (W
A

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/g) x (D
A
/8)
2
= m

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A
. D
A
/8
2

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I
B
? (W
B
/g) x (D

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A
/8)
2
+ (2W
1

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/g)x(R/8)
2
= (m
B
. D

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B
/8) + (2mR /8 )
Dia of disc A (D
A
) = m

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Dia of disc B (D
B
) = m
Weight of disc A (m
A

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) = Kg
Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m

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Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T

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theo
= 2? ((I
A.
I
B

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) / k
t
(I
A
+ I

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B
)) in Sec
T
exp
= t/N in Sec

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Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m

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Tabulation:

Sl.
No.
Load

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(Kg)
No. of
oscillation
s
Time

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for 10
oscillations
Time
for 1
oscillation

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MMI of disc A
(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m

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2

Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:

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1. Moment of Inertial of I
A
= Kg ? m
2

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2. Moment of Inertial of I
B
= Kg ? m
2

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3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system

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Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.

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3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section

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11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.

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16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions

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Apparatus required:
Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.

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Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.

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Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft

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I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.

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2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:

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1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency

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4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the

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given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?

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5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed

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10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping

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15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

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61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

Aim:

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To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

--- Content provided by FirstRanker.com ---

MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)

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Lift
in mm
Displacement
in mm
Velocity

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in m/s
Acceleration
(x 10
-3
)

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m/s
2

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2. Jump-speed.

Sl. No.

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Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:

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Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating

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mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam

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4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period

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9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?

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14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.

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19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch

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Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical

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motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.

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Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t

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p
Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f

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n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.

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2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency

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1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.

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Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass

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added
M
(kg)
Length of the
Spring L

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(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10
oscillation

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T (sec)
Time
period for
one tp
(sec)

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Experimental
natural
frequency,
f , Hz
Theoretical

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natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What are the causes and effect of vibration?

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2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?

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7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?

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12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.

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17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES

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Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball

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bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-

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chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above

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position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.

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7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.

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10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.

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48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.

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Observation table:
Free vibration of a spring mass system
Sl. No.
Length
L

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1 (mm)
No. of oscillations
n
Time for n
oscillation

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T (s)
Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)

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Forced vibration of a spring mass system

Sl. No.
Speed
rpm

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Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)

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The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:

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The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.

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6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?

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10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.

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14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:

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Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital

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indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2

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and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm

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2
, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm

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Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.

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5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:

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Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.

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Applied
mass
m (kg)
Deflection
(mm)

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Theoretical
deflection
T
(mm)
Experimental

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Stiffness
k (N/mm)
Theoretical
Stiffness
k (N/mm)

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Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the

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cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment

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4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?

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9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.

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14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.

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19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses

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Formulae used:
Defection at the center, ?
T
= Wl
3

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/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa
2

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b
2
/3EI for offset concentrated load.
Defection at the center, ?
T

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= 5wl
4
/384EI for uniformly distributed load.
I = bd
3

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/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s

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2
and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.

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2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg

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Experimental
Deflection
?, m
Theoretical
Deflection

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?
T
, m
Theoretical
Nat. freq.

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f
n
, Hz
Experimental
Stiffness

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K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency

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3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l

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3
for center load,
= 3EIl/a
2
b

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2
for offset load,
= 384EI/5l
3
for uniformly distributed load

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Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply

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supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.

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5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?

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10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?

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15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM

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Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:

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1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.

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Formulae:
Let, L ? Length of shaft (in m)
I
A
and I

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A ? MI of disc A and B respectively (in Kg-m
2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)

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W ? Weight attached to cross arm
I
A
? (W
A

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/g) x (D
A
/8)
2
= m

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A
. D
A
/8
2

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I
B
? (W
B
/g) x (D

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A
/8)
2
+ (2W
1

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/g)x(R/8)
2
= (m
B
. D

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B
/8) + (2mR /8 )
Dia of disc A (D
A
) = m

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Dia of disc B (D
B
) = m
Weight of disc A (m
A

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) = Kg
Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m

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Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T

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theo
= 2? ((I
A.
I
B

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) / k
t
(I
A
+ I

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B
)) in Sec
T
exp
= t/N in Sec

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Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m

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Tabulation:

Sl.
No.
Load

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(Kg)
No. of
oscillation
s
Time

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for 10
oscillations
Time
for 1
oscillation

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MMI of disc A
(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m

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2

Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:

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1. Moment of Inertial of I
A
= Kg ? m
2

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2. Moment of Inertial of I
B
= Kg ? m
2

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3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system

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Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.

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3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section

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11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.

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16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions

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Apparatus required:
Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.

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Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.

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Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft

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I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.

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2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:

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1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency

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4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the

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given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?

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5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed

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10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping

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15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

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61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

Aim:

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To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:

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Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple

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polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.

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Tabulation:
Sl. No.
Planes of
mass
Mass m,

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kg
Radius r,
m
C. Force /
?

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2
mr,
kg-m
Distance from
Ref. Plane l,

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m
Couple / ?
2
mrl,
kg-m

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2

1
2
3

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4
A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:

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The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.

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Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.

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2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?

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7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?

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12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?

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17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load

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Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T

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= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?
T

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= Wa
2
b
2
/3EI for offset concentrated load.

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Defection at the center, ?
T
= 5wl
4
/384EI for uniformly distributed load.

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I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n

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= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m

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Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.

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Mass added
m , kg
Experimental
Deflection
?, m

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Theoretical
Deflection
?
T
, m

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Theoretical
Nat. freq.
f
n
, Hz

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Experimental
Stiffness
K, N/m
Theoretical
Stiffness

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K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:

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1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?

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T
= 48EI/l
3
for center load,
= 3EIl/a

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2
b
2
for offset load,
= 384EI/5l

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3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.

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3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.

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8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.

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13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:

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Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.

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4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I

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A
and I
A ? MI of disc A and B respectively (in Kg-m
2
)

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D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A

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? (W
A
/g) x (D
A
/8)

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2
= m
A
. D
A

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/8
2
I
B
? (W

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B
/g) x (D
A
/8)
2

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+ (2W
1
/g)x(R/8)
2
= (m

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B
. D
B
/8) + (2mR /8 )
Dia of disc A (D

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A
) = m
Dia of disc B (D
B
) = m

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Weight of disc A (m
A
) = Kg
Weight of disc B (m
B

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) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I
A.

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I
B
) / k
t
(I

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A
+ I
B
)) in Sec
T

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exp
= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d

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4
/32) in m
Tabulation:

Sl.

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No.
Load
(Kg)
No. of
oscillation

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s
Time
for 10
oscillations
Time

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for 1
oscillation
MMI of disc A
(I
A

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) Kg-m
2

MMI of disc B
(I

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B
) Kg-m
2

Experimental

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Frequency
Hz


Result:

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Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A
= Kg ? m

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2

2. Moment of Inertial of I
B
= Kg ? m

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2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:

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From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional

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vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.

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9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.

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14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity

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19. What is dry friction damper?
20. Mention important types of free vibrations.


Viva-voce

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59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up
Description:

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The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts

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radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,

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f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)

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Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.

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5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.

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Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?

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3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?

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8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?

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13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?

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Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon

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4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

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63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.

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6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple

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11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
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fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.

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2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?

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7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?

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12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?

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17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load

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Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T

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= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?
T

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= Wa
2
b
2
/3EI for offset concentrated load.

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Defection at the center, ?
T
= 5wl
4
/384EI for uniformly distributed load.

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I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n

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= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m

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Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.

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Mass added
m , kg
Experimental
Deflection
?, m

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Theoretical
Deflection
?
T
, m

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Theoretical
Nat. freq.
f
n
, Hz

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Experimental
Stiffness
K, N/m
Theoretical
Stiffness

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K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:

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1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?

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T
= 48EI/l
3
for center load,
= 3EIl/a

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2
b
2
for offset load,
= 384EI/5l

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3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.

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3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.

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8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.

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13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:

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Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.

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4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I

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A
and I
A ? MI of disc A and B respectively (in Kg-m
2
)

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D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A

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? (W
A
/g) x (D
A
/8)

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2
= m
A
. D
A

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/8
2
I
B
? (W

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B
/g) x (D
A
/8)
2

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+ (2W
1
/g)x(R/8)
2
= (m

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B
. D
B
/8) + (2mR /8 )
Dia of disc A (D

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A
) = m
Dia of disc B (D
B
) = m

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Weight of disc A (m
A
) = Kg
Weight of disc B (m
B

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) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I
A.

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I
B
) / k
t
(I

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A
+ I
B
)) in Sec
T

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exp
= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d

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4
/32) in m
Tabulation:

Sl.

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No.
Load
(Kg)
No. of
oscillation

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s
Time
for 10
oscillations
Time

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for 1
oscillation
MMI of disc A
(I
A

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) Kg-m
2

MMI of disc B
(I

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B
) Kg-m
2

Experimental

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Frequency
Hz


Result:

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Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A
= Kg ? m

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2

2. Moment of Inertial of I
B
= Kg ? m

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2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:

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From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional

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vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.

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9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.

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14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity

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19. What is dry friction damper?
20. Mention important types of free vibrations.


Viva-voce

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59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up
Description:

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The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts

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radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,

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f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)

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Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.

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5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.

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Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?

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3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?

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8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?

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13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?

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Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon

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4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

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63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.

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6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple

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11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.20 BALANCING OF RECIPROCATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon

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4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

--- Content provided by FirstRanker.com ---

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:

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Free vibration of a spring mass system
Sl. No.
Length
L
1 (mm)

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No. of oscillations
n
Time for n
oscillation
T (s)

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Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency

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c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)

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Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock

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absorber.



1. What is neutral layer?

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2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance

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7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section

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15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses

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Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.

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Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.

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2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2

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, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:

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1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.

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6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:

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Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.
Applied

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mass
m (kg)
Deflection
(mm)
Theoretical

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deflection
T
(mm)
Experimental
Stiffness

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k (N/mm)
Theoretical
Stiffness
k (N/mm)
Natural

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frequency f n
(Hz)


Result:

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Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.

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5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?

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10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance

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15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow

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20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:

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To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:

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Defection at the center, ?
T
= Wl
3
/48EI for central concentrated load.

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Defection at the load point, ?
T
= Wa
2
b

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2
/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl

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4
/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.

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Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2

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and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.

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3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg
Experimental

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Deflection
?, m
Theoretical
Deflection
?

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T
, m
Theoretical
Nat. freq.
f

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n
, Hz
Experimental
Stiffness
K, N/m

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Theoretical
Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency

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Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l
3

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for center load,
= 3EIl/a
2
b
2

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for offset load,
= 384EI/5l
3
for uniformly distributed load
Result:

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Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section

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6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.

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11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:

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To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.

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2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:

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Let, L ? Length of shaft (in m)
I
A
and I
A ? MI of disc A and B respectively (in Kg-m

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2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm

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I
A
? (W
A
/g) x (D

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A
/8)
2
= m
A

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. D
A
/8
2
I

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B
? (W
B
/g) x (D
A

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/8)
2
+ (2W
1
/g)x(R/8)

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2
= (m
B
. D
B

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/8) + (2mR /8 )
Dia of disc A (D
A
) = m
Dia of disc B (D

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B
) = m
Weight of disc A (m
A
) = Kg

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Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k

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t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T
theo

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= 2? ((I
A.
I
B
) / k

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t
(I
A
+ I
B

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)) in Sec
T
exp
= t/N in Sec
Where,

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G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)

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No. of
oscillation
s
Time
for 10

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oscillations
Time
for 1
oscillation
MMI of disc A

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(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I

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A
= Kg ? m
2

2. Moment of Inertial of I

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B
= Kg ? m
2

3. Theoretical Frequency = Hz

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4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:

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The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft

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4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.

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12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity

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17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:

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Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although

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the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:

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f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m

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L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.

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3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia

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60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency
4. Critical speed

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Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions

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Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude

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6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.

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11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?

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16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.19 BALANCING OF ROTATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:
Rotor system, weights, steel rule, etc?

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple

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polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:

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The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.

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4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?

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9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?

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14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

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64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and

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couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing

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5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.

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10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force

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15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.

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20. Why cranks of a locomotive are generally at right angles to one another?


Viva-voce

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

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training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION

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VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms

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Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms

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3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a

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planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of

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one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain

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26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and

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versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed

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? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.

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2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its

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inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.

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3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same

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kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:

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1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.

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6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:

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From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?

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2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?

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7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.

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12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?

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17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor

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Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:

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1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.

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Tabulation:
Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)

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Degrees


Result:
Thus the kinematics of Universal Joint was studied successfully.

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Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism

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4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?

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9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?

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14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.

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19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod

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Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.

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3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F

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n
) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)

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2
x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10

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10

(in N/m
2
) (From PSG Data Book)

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Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10

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oscillations
in (Sec)

Time Period
T in

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(Sec)

Frequency (Hz)

Mass Moment of

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Inertia
Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:

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The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.


1. Define ? Static force analysis

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2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus

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7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort

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12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed

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17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING

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BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread

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Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)

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Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:

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1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.

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6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:

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Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b

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2
= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:

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From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of

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string
L (m)

Time taken
for ?N? osc.

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T(Sec)
Time taken for
one osc.
(t) Sec
Natural

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frequency F
n
(Hz)
Radius of
gyration (k)

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(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?

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4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?

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10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance

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15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement

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20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:

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To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:

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Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T
theo

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) = 2? ((K
2
+ h
1
2

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)/gh
1
)
Experimental radius of gyration (K
exp

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) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh
1

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T
2
/4?
2
)- h

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1
2
) (in m)
Where, h
1

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= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp

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(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk

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2
in kg-m
2

Equivalent Length of pendulum (l) = (K

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2
+ h
2
)/h in m
Procedure:

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1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.
Height

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h
1
(m)
Time for 10
oscillations

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t (Sec)
Time for a
oscillation T
(Sec)
Natural frequency

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Fn (Hz)
Experimental
radius of
gyration K (m)
Moment

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of inertia
I
(m)
Equivalent
Length of

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pendulum
l
(m)
Exp
Fn

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(exp)

Theo
Fn
(theo)

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Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)

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2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:

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From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation

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5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.

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10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?

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15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?

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20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF

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GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc

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with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.

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3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.

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Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec

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Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.
Speed

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of disc,
N
rpm
Applied
Load m,

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kg
Angle of
precision
in
Degrees

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Time
taken t,
sec
Observed
direction of

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displacement
Angular
Velocity
(rad/s)
Torque

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(N - m)
Observed
Velocity
m/sec
Theoretical

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Velocity
m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were

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conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:

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1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching

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5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.

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10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?

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14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the

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displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:

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Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:

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Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod

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2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps

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off is observed.
2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.

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Angle of
rotation
(degrees)
Lift
in mm

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Displacement
in mm
Velocity
in m/s
Acceleration

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(x 10
-3
)
m/s
2

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2. Jump-speed.

Sl. No.
Load on the
Follower, F (N)

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Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.

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Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:

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The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?

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6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point

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11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?

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16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring

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mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either

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damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force

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during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m

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Experimental natural frequency, f
n(exp)
=1/t
p
Hz, Where, t

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p
= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz

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Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form

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4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection

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Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural

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frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added
M

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(kg)
Length of the
Spring L
(mm)
Deflection

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(mm)


Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time

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period for
one tp
(sec)
Experimental
natural

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frequency,
f , Hz
Theoretical
natural
frequency

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f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?

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4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration

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9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?

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14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?

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19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system

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Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.

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The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:

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1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp

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the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1

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.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust

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the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system

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Sl. No.
Length
L
1 (mm)
No. of oscillations

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n
Time for n
oscillation
T (s)
Periodic time

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(Expt.) T
Natural
frequency(Expt.)

Where,

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M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency
c.p.s

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Amplitude
mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:

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From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?

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3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?

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8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:

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To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:

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Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:

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1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI

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Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm

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4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.

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2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.

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7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass

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m (kg)
Deflection
(mm)
Theoretical
deflection

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T
(mm)
Experimental
Stiffness
k (N/mm)

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Theoretical
Stiffness
k (N/mm)
Natural
frequency f n

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(Hz)


Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the

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frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:

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The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.

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6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?

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11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?

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16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset

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concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?

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T
= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?

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T
= Wa
2
b
2

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/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl
4

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/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f

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n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and

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? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.

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Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

Sl.

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No.
Mass added
m , kg
Experimental
Deflection

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?, m
Theoretical
Deflection
?
T

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, m
Theoretical
Nat. freq.
f
n

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, Hz
Experimental
Stiffness
K, N/m
Theoretical

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Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm

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Stiffness theoretical, K = W/ ?
T
= 48EI/l
3
for center load,

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= 3EIl/a
2
b
2
for offset load,

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= 384EI/5l
3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is

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experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:

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The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.

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2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.

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7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity

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12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system

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Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.

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3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)

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I
A
and I
A ? MI of disc A and B respectively (in Kg-m
2

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)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I

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A
? (W
A
/g) x (D
A

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/8)
2
= m
A
. D

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A
/8
2
I
B

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? (W
B
/g) x (D
A
/8)

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2
+ (2W
1
/g)x(R/8)
2

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= (m
B
. D
B
/8) + (2mR /8 )

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Dia of disc A (D
A
) = m
Dia of disc B (D
B

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) = m
Weight of disc A (m
A
) = Kg
Weight of disc B (m

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B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t

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) = G.Ip/L



57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I

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A.
I
B
) / k
t

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(I
A
+ I
B
)) in Sec

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T
exp
= t/N in Sec
Where,
G ? Modulus of rigidity

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Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)
No. of

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oscillation
s
Time
for 10
oscillations

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Time
for 1
oscillation
MMI of disc A
(I

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A
) Kg-m
2

MMI of disc B

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(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A

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= Kg ? m
2

2. Moment of Inertial of I
B

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= Kg ? m
2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz

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Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.

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5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion

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8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.

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13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.

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18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up

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Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is

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subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60

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Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm

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K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously

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4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:

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Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:

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The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.



1. Define - Frequency response curve

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2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?

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7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?

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12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?

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17. Why is critical speed encountered?
Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.19 BALANCING OF ROTATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon

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62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:

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1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.

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4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.

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Planes of
mass
Mass m,
kg
Radius r,

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m
C. Force /
?
2
mr,

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kg-m
Distance from
Ref. Plane l,
m
Couple / ?

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2
mrl,
kg-m
2

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1
2
3
4
A

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B
C
D

Diagrams:

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1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.

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Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as

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gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?

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5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force

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10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?

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15. Write the different types of balancing.

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Viva-voce

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64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

Aim:

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To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc
Procedure:

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1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.

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4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.

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Planes of
mass
Mass m,
kg
Radius r,

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m
C. Force /
?
2
mr,

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kg-m
Distance from
Ref. Plane l,
m
Couple / ?

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2
mrl,
kg-m
2

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1
2
3
4
A

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B
C
D

Diagrams:

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1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.

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Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

of the force polygon

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Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing
5. Write the important of balancing?

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6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.

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11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force
15. Define - Swaying couple

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16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?

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Viva-voce

66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:
To measure the displacement, velocity and acceleration using vibration analysis

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Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement
2. Frequency Vs Velocity

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3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.

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4. Set the varying range as 100.
5. Vary the input and note down the observations.

Tabulation:

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Sl.No. Frequency in Hz
Displacement X
200 ?
Velocity X 200
mm/s

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Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.
Outcome:

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From this experiment, students will be able to measure the displacement, velocity and acceleration
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:

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Free vibration of a spring mass system
Sl. No.
Length
L
1 (mm)

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No. of oscillations
n
Time for n
oscillation
T (s)

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Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency

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c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)

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Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock

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absorber.



1. What is neutral layer?

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2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance

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7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section

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15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses

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Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.

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Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.

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2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2

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, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:

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1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.

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6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:

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Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.
Applied

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mass
m (kg)
Deflection
(mm)
Theoretical

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deflection
T
(mm)
Experimental
Stiffness

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k (N/mm)
Theoretical
Stiffness
k (N/mm)
Natural

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frequency f n
(Hz)


Result:

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Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.

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5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?

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10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance

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15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow

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20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:

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To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:

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Defection at the center, ?
T
= Wl
3
/48EI for central concentrated load.

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Defection at the load point, ?
T
= Wa
2
b

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2
/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl

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4
/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.

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Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2

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and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.

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3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg
Experimental

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Deflection
?, m
Theoretical
Deflection
?

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T
, m
Theoretical
Nat. freq.
f

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n
, Hz
Experimental
Stiffness
K, N/m

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Theoretical
Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency

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Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l
3

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for center load,
= 3EIl/a
2
b
2

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for offset load,
= 384EI/5l
3
for uniformly distributed load
Result:

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Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section

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6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.

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11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:

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To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.

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2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:

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Let, L ? Length of shaft (in m)
I
A
and I
A ? MI of disc A and B respectively (in Kg-m

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2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm

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I
A
? (W
A
/g) x (D

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A
/8)
2
= m
A

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. D
A
/8
2
I

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B
? (W
B
/g) x (D
A

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/8)
2
+ (2W
1
/g)x(R/8)

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2
= (m
B
. D
B

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/8) + (2mR /8 )
Dia of disc A (D
A
) = m
Dia of disc B (D

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B
) = m
Weight of disc A (m
A
) = Kg

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Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k

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t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T
theo

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= 2? ((I
A.
I
B
) / k

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t
(I
A
+ I
B

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)) in Sec
T
exp
= t/N in Sec
Where,

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G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)

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No. of
oscillation
s
Time
for 10

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oscillations
Time
for 1
oscillation
MMI of disc A

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(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I

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A
= Kg ? m
2

2. Moment of Inertial of I

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B
= Kg ? m
2

3. Theoretical Frequency = Hz

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4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:

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The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft

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4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.

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12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity

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17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:

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Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although

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the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:

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f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m

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L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.

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3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia

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60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency
4. Critical speed

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Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions

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Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude

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6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.

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11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?

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16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.19 BALANCING OF ROTATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:
Rotor system, weights, steel rule, etc?

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple

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polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:

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The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.

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4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?

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9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?

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14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

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64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and

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couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
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of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing

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5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.

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10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force

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15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.

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20. Why cranks of a locomotive are generally at right angles to one another?


Viva-voce

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66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:

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To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement

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2. Frequency Vs Velocity
3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.

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3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.
5. Vary the input and note down the observations.

Tabulation:

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Sl.No. Frequency in Hz
Displacement X
200 ?
Velocity X 200

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mm/s
Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.

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Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis

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Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.

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1. When involutes interference occurs?
2. Define - Cycloid
3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch

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6. What is meant by angle of dwell?
7. What is meant by contact ratio?
8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system

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11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?

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16. Define - Coefficient of sensitiveness
17. Explain controlling force?
18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force

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Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)

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Lift
in mm
Displacement
in mm
Velocity

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in m/s
Acceleration
(x 10
-3
)

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m/s
2

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2. Jump-speed.

Sl. No.

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Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:

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Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating

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mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam

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4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period

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9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?

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14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.

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19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch

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Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical

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motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.

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Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t

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p
Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f

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n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.

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2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency

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1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.

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Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass

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added
M
(kg)
Length of the
Spring L

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(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10
oscillation

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T (sec)
Time
period for
one tp
(sec)

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Experimental
natural
frequency,
f , Hz
Theoretical

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natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What are the causes and effect of vibration?

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2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?

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7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?

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12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.

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17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES

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Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball

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bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-

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chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above

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position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.

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7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.

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10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.

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48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.

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Observation table:
Free vibration of a spring mass system
Sl. No.
Length
L

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1 (mm)
No. of oscillations
n
Time for n
oscillation

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T (s)
Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)

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Forced vibration of a spring mass system

Sl. No.
Speed
rpm

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Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)

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The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:

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The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.

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6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?

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10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.

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14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:

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Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital

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indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2

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and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm

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2
, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm

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Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.

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5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:

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Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.

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Applied
mass
m (kg)
Deflection
(mm)

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Theoretical
deflection
T
(mm)
Experimental

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Stiffness
k (N/mm)
Theoretical
Stiffness
k (N/mm)

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Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the

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cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment

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4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?

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9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.

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14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.

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19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses

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Formulae used:
Defection at the center, ?
T
= Wl
3

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/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa
2

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b
2
/3EI for offset concentrated load.
Defection at the center, ?
T

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= 5wl
4
/384EI for uniformly distributed load.
I = bd
3

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/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s

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2
and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.

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2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg

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Experimental
Deflection
?, m
Theoretical
Deflection

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?
T
, m
Theoretical
Nat. freq.

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f
n
, Hz
Experimental
Stiffness

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K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency

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3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l

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3
for center load,
= 3EIl/a
2
b

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2
for offset load,
= 384EI/5l
3
for uniformly distributed load

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Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply

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supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.

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5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?

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10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?

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15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM

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Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:

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1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.

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Formulae:
Let, L ? Length of shaft (in m)
I
A
and I

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A ? MI of disc A and B respectively (in Kg-m
2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)

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W ? Weight attached to cross arm
I
A
? (W
A

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/g) x (D
A
/8)
2
= m

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A
. D
A
/8
2

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I
B
? (W
B
/g) x (D

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A
/8)
2
+ (2W
1

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/g)x(R/8)
2
= (m
B
. D

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B
/8) + (2mR /8 )
Dia of disc A (D
A
) = m

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Dia of disc B (D
B
) = m
Weight of disc A (m
A

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) = Kg
Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m

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Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T

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theo
= 2? ((I
A.
I
B

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) / k
t
(I
A
+ I

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B
)) in Sec
T
exp
= t/N in Sec

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Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m

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Tabulation:

Sl.
No.
Load

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(Kg)
No. of
oscillation
s
Time

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for 10
oscillations
Time
for 1
oscillation

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MMI of disc A
(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m

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2

Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:

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1. Moment of Inertial of I
A
= Kg ? m
2

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2. Moment of Inertial of I
B
= Kg ? m
2

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3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system

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Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.

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3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section

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11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.

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16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions

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Apparatus required:
Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.

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Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.

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Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft

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I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.

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2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:

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1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency

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4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the

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given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?

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5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed

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10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping

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15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

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61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

Aim:

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To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:

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Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple

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polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.

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Tabulation:
Sl. No.
Planes of
mass
Mass m,

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kg
Radius r,
m
C. Force /
?

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2
mr,
kg-m
Distance from
Ref. Plane l,

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m
Couple / ?
2
mrl,
kg-m

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2

1
2
3

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4
A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:

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The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.

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Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?

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3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?

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8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing

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13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:

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Reciprocating system, weights, steel rule, etc
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple

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polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.

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Tabulation:
Sl. No.
Planes of
mass
Mass m,

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kg
Radius r,
m
C. Force /
?

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2
mr,
kg-m
Distance from
Ref. Plane l,

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m
Couple / ?
2
mrl,
kg-m

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2

1
2
3

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4
A
B
C
D

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Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:

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The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing

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4. Define - Dynamic balancing
5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.

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9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?

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14. Define - Tractive force
15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?

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19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?


Viva-voce

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66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS

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Aim:
To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:

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1. Frequency Vs Displacement
2. Frequency Vs Velocity
3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.

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2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.
5. Vary the input and note down the observations.

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Tabulation:

Sl.No. Frequency in Hz
Displacement X
200 ?

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Velocity X 200
mm/s
Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the

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characteristics were studied from the plotted graph.
Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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using vibration analysis
Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.

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1. When involutes interference occurs?
2. Define - Cycloid
3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?

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5. Define - Circular pitch
6. What is meant by angle of dwell?
7. What is meant by contact ratio?
8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.

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10. Define - Gear tooth system
11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks

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15. What is meant by degrees of freedom in a vibrating system?
16. Define - Coefficient of sensitiveness
17. Explain controlling force?
18. Define - Isolation factor
19. Define - Influence co- efficient

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20. Define - Inertia force
Viva-voce

68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.22 HARTNELL GOVERNOR

Aim:
To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:

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Hartnell governor setup and Tachometer
Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball
crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the

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vertical arm pressing against the cap.
Formula:
F
c 1
= m ? 1

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2


r
1

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(N) and F
c 2
= m ? 2
2

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r 2 (N)
?
1
= 2?N
1

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/60 rad/s and ?
2
=2?N
2
/60 rad/s

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S
1
= 2Fc
1
(x/y) N and S

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2
=2Fc
2
(x/y) N
r

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2
= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N
1
-N

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2
)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2
Spring stiffness = (S
1

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-S
2
)/R N/mm
Where, m= mass of the ball is (m=0.18 kg)
?

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1
& ?
2
= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec

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r
1
& r
2
= maximum and minimum radius of rotation

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Fc
1
& Fc
2
=centrifugal forces at ?

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1
and ?
2
in N
X= length of the vertical ball arm of lever in m

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Y= length of the horizontal ball arm of lever in m
S
1
& S
2

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= spring forces at ?
1
& ?
2
in N

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Procedure:
1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed
and immediately control the speed of the governor
FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.

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2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?

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7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?

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12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?

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17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load

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Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T

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= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?
T

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= Wa
2
b
2
/3EI for offset concentrated load.

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Defection at the center, ?
T
= 5wl
4
/384EI for uniformly distributed load.

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I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n

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= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m

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Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.

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Mass added
m , kg
Experimental
Deflection
?, m

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Theoretical
Deflection
?
T
, m

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Theoretical
Nat. freq.
f
n
, Hz

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Experimental
Stiffness
K, N/m
Theoretical
Stiffness

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K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:

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1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?

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T
= 48EI/l
3
for center load,
= 3EIl/a

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2
b
2
for offset load,
= 384EI/5l

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3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.

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3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.

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8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.

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13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:

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Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.

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4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I

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A
and I
A ? MI of disc A and B respectively (in Kg-m
2
)

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D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A

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? (W
A
/g) x (D
A
/8)

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2
= m
A
. D
A

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/8
2
I
B
? (W

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B
/g) x (D
A
/8)
2

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+ (2W
1
/g)x(R/8)
2
= (m

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B
. D
B
/8) + (2mR /8 )
Dia of disc A (D

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A
) = m
Dia of disc B (D
B
) = m

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Weight of disc A (m
A
) = Kg
Weight of disc B (m
B

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) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I
A.

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I
B
) / k
t
(I

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A
+ I
B
)) in Sec
T

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exp
= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d

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4
/32) in m
Tabulation:

Sl.

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No.
Load
(Kg)
No. of
oscillation

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s
Time
for 10
oscillations
Time

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for 1
oscillation
MMI of disc A
(I
A

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) Kg-m
2

MMI of disc B
(I

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B
) Kg-m
2

Experimental

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Frequency
Hz


Result:

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Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A
= Kg ? m

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2

2. Moment of Inertial of I
B
= Kg ? m

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2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:

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From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional

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vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.

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9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.

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14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity

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19. What is dry friction damper?
20. Mention important types of free vibrations.


Viva-voce

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59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up
Description:

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The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts

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radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,

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f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)

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Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.

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5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.

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Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?

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3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?

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8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?

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13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?

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Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon

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4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

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63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.

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6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple

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11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.20 BALANCING OF RECIPROCATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon

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4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

of the force polygon
Application:

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The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.


1. What is meant by balancing of rotating masses?

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2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing
5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?

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7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses

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12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force
15. Define - Swaying couple
16. What are in ? line engines?

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17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?

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Viva-voce

66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:
To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:

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Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement
2. Frequency Vs Velocity
3. Frequency Vs Acceleration

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Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.

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5. Vary the input and note down the observations.

Tabulation:

Sl.No. Frequency in Hz

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Displacement X
200 ?
Velocity X 200
mm/s
Acceleration X

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200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.
Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration

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67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis
Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and

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turbine engines.


1. When involutes interference occurs?
2. Define - Cycloid

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3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch
6. What is meant by angle of dwell?
7. What is meant by contact ratio?

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8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system
11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed

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13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?
16. Define - Coefficient of sensitiveness
17. Explain controlling force?

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18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force
Viva-voce

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68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

Aim:

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To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer
Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball

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crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.
Formula:
F

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c 1
= m ? 1
2

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r
1
(N) and F
c 2
= m ? 2

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2

r 2 (N)
?
1

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= 2?N
1
/60 rad/s and ?
2
=2?N

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2
/60 rad/s
S
1
= 2Fc

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1
(x/y) N and S
2
=2Fc
2

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(x/y) N
r
2
= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N

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1
-N
2
)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2

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Spring stiffness = (S
1
-S
2
)/R N/mm

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Where, m= mass of the ball is (m=0.18 kg)
?
1
& ?
2

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= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r
1
& r

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2
= maximum and minimum radius of rotation
Fc
1
& Fc

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2
=centrifugal forces at ?
1
and ?
2

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in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m
S
1

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& S
2
= spring forces at ?
1
& ?

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2
in N
Procedure:
1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed

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and immediately control the speed of the governor
69 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

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Sl.
No.
Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)

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Min Max mean


X=______ , Y=______ , r
1

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= r
Graph:
1. Mean speed Vs. Sensitivity
2. Mean speed Vs. Effort
Result:

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Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the
spring using Hartnell governor which is used in diesel engines.
Application:

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The hartnell governor is used in stationary steam engines, traction engines

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FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

--- Content provided by FirstRanker.com ---

VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

--- Content provided by FirstRanker.com ---

1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.

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2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?

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7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?

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12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?

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17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load

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Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T

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= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?
T

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= Wa
2
b
2
/3EI for offset concentrated load.

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Defection at the center, ?
T
= 5wl
4
/384EI for uniformly distributed load.

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I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n

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= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m

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Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.

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Mass added
m , kg
Experimental
Deflection
?, m

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Theoretical
Deflection
?
T
, m

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Theoretical
Nat. freq.
f
n
, Hz

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Experimental
Stiffness
K, N/m
Theoretical
Stiffness

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K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:

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1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?

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T
= 48EI/l
3
for center load,
= 3EIl/a

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2
b
2
for offset load,
= 384EI/5l

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3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.

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3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.

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8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.

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13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:

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Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.

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4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I

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A
and I
A ? MI of disc A and B respectively (in Kg-m
2
)

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D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A

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? (W
A
/g) x (D
A
/8)

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2
= m
A
. D
A

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/8
2
I
B
? (W

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B
/g) x (D
A
/8)
2

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+ (2W
1
/g)x(R/8)
2
= (m

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B
. D
B
/8) + (2mR /8 )
Dia of disc A (D

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A
) = m
Dia of disc B (D
B
) = m

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Weight of disc A (m
A
) = Kg
Weight of disc B (m
B

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) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I
A.

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I
B
) / k
t
(I

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A
+ I
B
)) in Sec
T

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exp
= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d

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4
/32) in m
Tabulation:

Sl.

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No.
Load
(Kg)
No. of
oscillation

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s
Time
for 10
oscillations
Time

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for 1
oscillation
MMI of disc A
(I
A

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) Kg-m
2

MMI of disc B
(I

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B
) Kg-m
2

Experimental

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Frequency
Hz


Result:

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Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A
= Kg ? m

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2

2. Moment of Inertial of I
B
= Kg ? m

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2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:

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From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional

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vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.

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9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.

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14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity

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19. What is dry friction damper?
20. Mention important types of free vibrations.


Viva-voce

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59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up
Description:

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The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts

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radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,

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f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)

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Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.

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5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.

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Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?

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3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?

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8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?

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13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?

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Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon

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4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

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63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.

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6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple

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11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.20 BALANCING OF RECIPROCATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon

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4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

of the force polygon
Application:

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The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.


1. What is meant by balancing of rotating masses?

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2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing
5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?

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7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses

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12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force
15. Define - Swaying couple
16. What are in ? line engines?

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17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?

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Viva-voce

66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:
To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:

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Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement
2. Frequency Vs Velocity
3. Frequency Vs Acceleration

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Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.

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5. Vary the input and note down the observations.

Tabulation:

Sl.No. Frequency in Hz

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Displacement X
200 ?
Velocity X 200
mm/s
Acceleration X

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200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.
Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration

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67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis
Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and

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turbine engines.


1. When involutes interference occurs?
2. Define - Cycloid

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3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch
6. What is meant by angle of dwell?
7. What is meant by contact ratio?

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8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system
11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed

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13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?
16. Define - Coefficient of sensitiveness
17. Explain controlling force?

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18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force
Viva-voce

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68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

Aim:

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To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer
Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball

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crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.
Formula:
F

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c 1
= m ? 1
2

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r
1
(N) and F
c 2
= m ? 2

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2

r 2 (N)
?
1

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= 2?N
1
/60 rad/s and ?
2
=2?N

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2
/60 rad/s
S
1
= 2Fc

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1
(x/y) N and S
2
=2Fc
2

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(x/y) N
r
2
= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N

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1
-N
2
)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2

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Spring stiffness = (S
1
-S
2
)/R N/mm

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Where, m= mass of the ball is (m=0.18 kg)
?
1
& ?
2

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= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r
1
& r

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2
= maximum and minimum radius of rotation
Fc
1
& Fc

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2
=centrifugal forces at ?
1
and ?
2

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in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m
S
1

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& S
2
= spring forces at ?
1
& ?

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2
in N
Procedure:
1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed

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and immediately control the speed of the governor
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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

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Sl.
No.
Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)

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Min Max mean


X=______ , Y=______ , r
1

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= r
Graph:
1. Mean speed Vs. Sensitivity
2. Mean speed Vs. Effort
Result:

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Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the
spring using Hartnell governor which is used in diesel engines.
Application:

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The hartnell governor is used in stationary steam engines, traction engines

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70 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the function of governor?

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2. How governors are classified?
3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?
5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness

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7. What is meant by hunting?
8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor
10. What is the principle of working of centrifugal governor?
11. Define - Power of governor

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12. Explain the term stability of governor.
13. Explain sensitiveness of governors.
14. Explain governor effect.
15. What is the principle of inertia governors?
16. What is equilibrium speed?

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17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.
20. When is a governor said to be stable?

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Viva-voce

FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL

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2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry

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? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION

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4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will

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mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth

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To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will

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build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced

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degrees



5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same

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in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society

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7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with

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coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear

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trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.

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b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell

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governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.

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8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.

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11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY

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CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20

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6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34

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11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48

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16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61

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21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65

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EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS

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Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:

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Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh

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with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s

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b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear

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ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear

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a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear

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9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear

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a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)

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3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface

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a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial

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thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear

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type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology

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11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.

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? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.

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? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the

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pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.

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? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,

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measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.

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? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of

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one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along

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radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.

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? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end

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of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.

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? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.

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Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts

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are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.

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4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.

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The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.

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6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as

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presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.
Outcome:

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From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module

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5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?

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11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?

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16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile

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Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:

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To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1

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x 100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N

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1
)
Output Speed in
rpm
(N

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2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.


1. What is a simple gear train?

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2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?

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7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?

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12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?

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16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:

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Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1 x
100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
Input Speed Vs Output Speed.
Tabulation:

Sl. No.

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Input Speed in
rpm (N
1
)
Output Speed in

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rpm (N
2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion

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between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?

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6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?

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10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.

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15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train

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Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel

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of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,

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N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed

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(rpm)
Total reduction in
Speed (N)
Speed Ratio
Right

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Wheel
(N
1
)
Left

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Wheel
(N
2
)
Right

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Wheel
(N
1)

Left

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Wheel
(N
2)

Right

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Wheel
N
R

Left

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Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N
R

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and N
L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?

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3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?

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7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?

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12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?

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17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:

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Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.

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3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W

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1
? W
2
) x 9.81 x r N-m
Effective radius (r) = r

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r
+ r
d
Where,
W

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1
and W
2
= Spring balance weight in Kg
r

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d
and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N

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E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:

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From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.

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Output
Speed
in rpm
(N
2

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)
Input
Speed
in rpm
(N

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1
)
Spring
balance
weight

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No. of
revolutions
in
wattmeter
(N

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E)


Time taken
for 2

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revolutions
(Sec)


Torque

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(N-m)

Output
Power
(KW)

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Input
Power
(KW)

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Transmission
Efficiency
(?%)
W
1

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(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Under what situation, worm gears are used?

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2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear

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7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?

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12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?

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17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS

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Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:

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1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism

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Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.

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Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:

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A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the

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link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.

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4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.

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2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the

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27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)

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3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.

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4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms

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and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?

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5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.

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10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?

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15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair

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20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint

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Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places

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at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.

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3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)

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Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one

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end and the differential on the other end in automobiles.



1. Define - Cylindrical pair

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2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?

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7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem

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12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?

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17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus

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Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.

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2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:

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Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd

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4
/ 128 ? x (Fn)
2
x l (in Kg-m
2

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)
Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m

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2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable

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apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?

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5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency

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10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis

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15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?

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20. Define ? Radius of gyration

Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate

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Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F

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n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations

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t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.

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4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:

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A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b

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1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is

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__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:

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The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added

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m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for
one osc.

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(t) Sec
Natural
frequency F
n
(Hz)

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Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Briefly explain elastic suspension.

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2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?

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8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?

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13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?

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18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:

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1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)

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Theoretical time period (T
theo
) = 2? ((K
2
+ h

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1
2
)/gh
1
)

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Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo

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) = ? ((gh
1
T
2
/4?

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2
)- h
1
2
) (in m)

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Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :

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(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T
theo

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(Hz)
Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2

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)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

Sl.

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No.
Height
h
1
(m)

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Time for 10
oscillations
t (Sec)
Time for a
oscillation T

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(Sec)
Natural frequency
Fn (Hz)
Experimental
radius of

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gyration K (m)
Moment
of inertia
I
(m)

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Equivalent
Length of
pendulum
l
(m)

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Exp
Fn
(exp)

Theo

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Fn
(theo)

Exp
K

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exp

Theo
K
theo

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Mean

Result:

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Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)

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(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:

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The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency

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3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft

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8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?

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13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?

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18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples

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Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage

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transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane

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of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec

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Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.

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No.
Speed
of disc,
N
rpm

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Applied
Load m,
kg
Angle of
precision

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in
Degrees
Time
taken t,
sec

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Observed
direction of
displacement
Angular
Velocity

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(rad/s)
Torque
(N - m)
Observed
Velocity

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m/sec
Theoretical
Velocity
m/sec
Theoretical

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Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic

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effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator

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used for stabilization of the ships.


1. What is gyroscopic couple?
2. What is gyroscopic torque?

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3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?

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8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the

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gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM

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Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:

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Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of

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at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:

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Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.

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Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)

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Lift
in mm
Displacement
in mm
Velocity

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in m/s
Acceleration
(x 10
-3
)

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m/s
2

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2. Jump-speed.

Sl. No.

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Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:

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Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating

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mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam

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4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period

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9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?

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14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.

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19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch

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Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical

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motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.

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Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t

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p
Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f

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n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.

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2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency

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1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.

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Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass

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added
M
(kg)
Length of the
Spring L

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(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10
oscillation

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T (sec)
Time
period for
one tp
(sec)

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Experimental
natural
frequency,
f , Hz
Theoretical

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natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What are the causes and effect of vibration?

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2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?

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7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?

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12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.

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17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES

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Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball

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bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-

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chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above

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position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.

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7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.

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10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.

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48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.

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Observation table:
Free vibration of a spring mass system
Sl. No.
Length
L

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1 (mm)
No. of oscillations
n
Time for n
oscillation

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T (s)
Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)

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Forced vibration of a spring mass system

Sl. No.
Speed
rpm

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Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)

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The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:

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The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.

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6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?

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10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.

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14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:

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Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital

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indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2

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and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm

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2
, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm

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Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.

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5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:

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Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.

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Applied
mass
m (kg)
Deflection
(mm)

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Theoretical
deflection
T
(mm)
Experimental

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Stiffness
k (N/mm)
Theoretical
Stiffness
k (N/mm)

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Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the

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cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment

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4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?

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9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.

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14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.

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19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses

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Formulae used:
Defection at the center, ?
T
= Wl
3

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/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa
2

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b
2
/3EI for offset concentrated load.
Defection at the center, ?
T

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= 5wl
4
/384EI for uniformly distributed load.
I = bd
3

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/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s

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2
and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.

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2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg

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Experimental
Deflection
?, m
Theoretical
Deflection

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?
T
, m
Theoretical
Nat. freq.

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f
n
, Hz
Experimental
Stiffness

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K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency

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3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l

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3
for center load,
= 3EIl/a
2
b

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2
for offset load,
= 384EI/5l
3
for uniformly distributed load

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Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply

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supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.

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5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?

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10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?

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15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM

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Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:

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1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.

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Formulae:
Let, L ? Length of shaft (in m)
I
A
and I

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A ? MI of disc A and B respectively (in Kg-m
2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)

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W ? Weight attached to cross arm
I
A
? (W
A

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/g) x (D
A
/8)
2
= m

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A
. D
A
/8
2

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I
B
? (W
B
/g) x (D

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A
/8)
2
+ (2W
1

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/g)x(R/8)
2
= (m
B
. D

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B
/8) + (2mR /8 )
Dia of disc A (D
A
) = m

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Dia of disc B (D
B
) = m
Weight of disc A (m
A

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) = Kg
Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m

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Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T

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theo
= 2? ((I
A.
I
B

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) / k
t
(I
A
+ I

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B
)) in Sec
T
exp
= t/N in Sec

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Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m

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Tabulation:

Sl.
No.
Load

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(Kg)
No. of
oscillation
s
Time

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for 10
oscillations
Time
for 1
oscillation

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MMI of disc A
(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m

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2

Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:

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1. Moment of Inertial of I
A
= Kg ? m
2

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2. Moment of Inertial of I
B
= Kg ? m
2

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3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system

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Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.

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3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section

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11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.

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16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions

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Apparatus required:
Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.

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Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.

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Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft

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I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.

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2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:

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1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency

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4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the

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given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?

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5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed

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10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping

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15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

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61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

Aim:

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To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:

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Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple

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polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.

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Tabulation:
Sl. No.
Planes of
mass
Mass m,

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kg
Radius r,
m
C. Force /
?

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2
mr,
kg-m
Distance from
Ref. Plane l,

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m
Couple / ?
2
mrl,
kg-m

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2

1
2
3

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4
A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:

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The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.

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Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?

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3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?

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8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing

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13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:

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Reciprocating system, weights, steel rule, etc
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple

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polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.

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Tabulation:
Sl. No.
Planes of
mass
Mass m,

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kg
Radius r,
m
C. Force /
?

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2
mr,
kg-m
Distance from
Ref. Plane l,

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m
Couple / ?
2
mrl,
kg-m

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2

1
2
3

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4
A
B
C
D

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Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:

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The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing

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4. Define - Dynamic balancing
5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.

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9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?

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14. Define - Tractive force
15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?

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19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?


Viva-voce

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66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS

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Aim:
To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:

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1. Frequency Vs Displacement
2. Frequency Vs Velocity
3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.

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2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.
5. Vary the input and note down the observations.

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Tabulation:

Sl.No. Frequency in Hz
Displacement X
200 ?

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Velocity X 200
mm/s
Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the

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characteristics were studied from the plotted graph.
Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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using vibration analysis
Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.

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1. When involutes interference occurs?
2. Define - Cycloid
3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?

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5. Define - Circular pitch
6. What is meant by angle of dwell?
7. What is meant by contact ratio?
8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.

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10. Define - Gear tooth system
11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks

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15. What is meant by degrees of freedom in a vibrating system?
16. Define - Coefficient of sensitiveness
17. Explain controlling force?
18. Define - Isolation factor
19. Define - Influence co- efficient

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20. Define - Inertia force
Viva-voce

68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.22 HARTNELL GOVERNOR

Aim:
To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:

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Hartnell governor setup and Tachometer
Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball
crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the

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vertical arm pressing against the cap.
Formula:
F
c 1
= m ? 1

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2


r
1

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(N) and F
c 2
= m ? 2
2

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r 2 (N)
?
1
= 2?N
1

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/60 rad/s and ?
2
=2?N
2
/60 rad/s

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S
1
= 2Fc
1
(x/y) N and S

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2
=2Fc
2
(x/y) N
r

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2
= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N
1
-N

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2
)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2
Spring stiffness = (S
1

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-S
2
)/R N/mm
Where, m= mass of the ball is (m=0.18 kg)
?

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1
& ?
2
= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec

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r
1
& r
2
= maximum and minimum radius of rotation

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Fc
1
& Fc
2
=centrifugal forces at ?

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1
and ?
2
in N
X= length of the vertical ball arm of lever in m

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Y= length of the horizontal ball arm of lever in m
S
1
& S
2

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= spring forces at ?
1
& ?
2
in N

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Procedure:
1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed
and immediately control the speed of the governor
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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

Sl.

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No.
Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)
Min Max mean

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X=______ , Y=______ , r
1
= r
Graph:

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1. Mean speed Vs. Sensitivity
2. Mean speed Vs. Effort
Result:
Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:

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From this experiment, students will be able to find the stiffness, sensitivity and effort of the
spring using Hartnell governor which is used in diesel engines.
Application:
The hartnell governor is used in stationary steam engines, traction engines

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1. What is the function of governor?
2. How governors are classified?
3. Differentiate between governor and fly wheel.

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4. What is meant by sensitiveness of a governor?
5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness
7. What is meant by hunting?
8. What is meant by isochronous conditions governor?

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9. Define - Stability of a governor
10. What is the principle of working of centrifugal governor?
11. Define - Power of governor
12. Explain the term stability of governor.
13. Explain sensitiveness of governors.

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14. Explain governor effect.
15. What is the principle of inertia governors?
16. What is equilibrium speed?
17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?

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19. Derive an expression for the height in the case of a watt governor.
20. When is a governor said to be stable?

Viva-voce

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71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
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Spur Gear Terminology:


Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:

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Free vibration of a spring mass system
Sl. No.
Length
L
1 (mm)

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No. of oscillations
n
Time for n
oscillation
T (s)

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Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency

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c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)

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Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock

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absorber.



1. What is neutral layer?

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2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance

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7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section

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15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses

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Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.

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Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.

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2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2

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, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:

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1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.

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6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:

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Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.
Applied

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mass
m (kg)
Deflection
(mm)
Theoretical

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deflection
T
(mm)
Experimental
Stiffness

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k (N/mm)
Theoretical
Stiffness
k (N/mm)
Natural

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frequency f n
(Hz)


Result:

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Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.

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5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?

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10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance

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15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow

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20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:

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To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:

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Defection at the center, ?
T
= Wl
3
/48EI for central concentrated load.

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Defection at the load point, ?
T
= Wa
2
b

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2
/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl

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4
/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.

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Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2

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and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.

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3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg
Experimental

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Deflection
?, m
Theoretical
Deflection
?

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T
, m
Theoretical
Nat. freq.
f

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n
, Hz
Experimental
Stiffness
K, N/m

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Theoretical
Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency

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Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l
3

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for center load,
= 3EIl/a
2
b
2

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for offset load,
= 384EI/5l
3
for uniformly distributed load
Result:

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Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section

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6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.

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11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:

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To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.

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2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:

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Let, L ? Length of shaft (in m)
I
A
and I
A ? MI of disc A and B respectively (in Kg-m

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2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm

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I
A
? (W
A
/g) x (D

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A
/8)
2
= m
A

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. D
A
/8
2
I

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B
? (W
B
/g) x (D
A

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/8)
2
+ (2W
1
/g)x(R/8)

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2
= (m
B
. D
B

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/8) + (2mR /8 )
Dia of disc A (D
A
) = m
Dia of disc B (D

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B
) = m
Weight of disc A (m
A
) = Kg

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Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k

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t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T
theo

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= 2? ((I
A.
I
B
) / k

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t
(I
A
+ I
B

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)) in Sec
T
exp
= t/N in Sec
Where,

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G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)

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No. of
oscillation
s
Time
for 10

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oscillations
Time
for 1
oscillation
MMI of disc A

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(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I

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A
= Kg ? m
2

2. Moment of Inertial of I

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B
= Kg ? m
2

3. Theoretical Frequency = Hz

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4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:

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The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft

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4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.

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12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity

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17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:

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Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although

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the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:

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f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m

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L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.

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3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia

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60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency
4. Critical speed

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Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions

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Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude

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6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.

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11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?

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16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.19 BALANCING OF ROTATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:
Rotor system, weights, steel rule, etc?

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple

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polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:

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The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.

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4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?

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9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?

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14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

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64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and

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couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing

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5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.

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10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force

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15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.

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20. Why cranks of a locomotive are generally at right angles to one another?


Viva-voce

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66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:

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To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement

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2. Frequency Vs Velocity
3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.

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3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.
5. Vary the input and note down the observations.

Tabulation:

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Sl.No. Frequency in Hz
Displacement X
200 ?
Velocity X 200

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mm/s
Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.

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Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis

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Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.

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1. When involutes interference occurs?
2. Define - Cycloid
3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch

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6. What is meant by angle of dwell?
7. What is meant by contact ratio?
8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system

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11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?

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16. Define - Coefficient of sensitiveness
17. Explain controlling force?
18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force

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Viva-voce

68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

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Aim:
To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer

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Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball
crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.

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Formula:
F
c 1
= m ? 1
2

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r
1
(N) and F

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c 2
= m ? 2
2

r 2 (N)

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?
1
= 2?N
1
/60 rad/s and ?

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2
=2?N
2
/60 rad/s
S

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1
= 2Fc
1
(x/y) N and S
2

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=2Fc
2
(x/y) N
r
2

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= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N
1
-N
2

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)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2
Spring stiffness = (S
1
-S

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2
)/R N/mm
Where, m= mass of the ball is (m=0.18 kg)
?
1

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& ?
2
= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r

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1
& r
2
= maximum and minimum radius of rotation
Fc

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1
& Fc
2
=centrifugal forces at ?
1

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and ?
2
in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m

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S
1
& S
2
= spring forces at ?

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1
& ?
2
in N
Procedure:

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1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed
and immediately control the speed of the governor
69 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

Sl.
No.

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Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)
Min Max mean

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X=______ , Y=______ , r
1
= r
Graph:
1. Mean speed Vs. Sensitivity

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2. Mean speed Vs. Effort
Result:
Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the

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spring using Hartnell governor which is used in diesel engines.
Application:
The hartnell governor is used in stationary steam engines, traction engines

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70 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the function of governor?
2. How governors are classified?
3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?

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5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness
7. What is meant by hunting?
8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor

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10. What is the principle of working of centrifugal governor?
11. Define - Power of governor
12. Explain the term stability of governor.
13. Explain sensitiveness of governors.
14. Explain governor effect.

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15. What is the principle of inertia governors?
16. What is equilibrium speed?
17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.

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20. When is a governor said to be stable?

Viva-voce

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71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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72 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.23 STUDY OF VIBRATION
Aim:

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To study the vibration, causes and its characteristics
Vibration:
Vibration is simply the motion of a machine of machine part back and forth from its position of
rest. The simplest way to show vibration is to follow the motion of a weight suspended on the end
of a spring. This is typical of all machines since they too have weight and spring like property.

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Vibration of the response of a system to some internal or external or force applied to the system.
Causes of vibrations:
The most common problems that produce vibration are,
1. Unbalance of rotating parts
2. Misalignment of couplings and bearings

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3. Bent shaft
4. Worn eccentric or damaged gears
5. Bad drive belts and drive chains
6. Bad bearings
7. Torque variations

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8. Electromagnetic force
9. Aerodynamic forces
10. Hydraulic forces
11. Looseness
12. Rubbing

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13. Resonance
The characteristics of vibration:
A machine?s condition and mechanical problems are determined by measuring its vibration
characteristics. The more important of these characteristics include,
1. Frequency

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2. Displacement
3. Velocity
4. Acceleration
FirstRanker.com - FirstRanker's Choice
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Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

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DEPARTMENT OF MECHANICAL ENGINEERING


Rendering the services to the global needs of engineering industries by educating students to

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become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals

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To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them

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3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills

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To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical

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engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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5 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering

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2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools

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6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms

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9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.

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b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.

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3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.

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5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.

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b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.

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10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.

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c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.

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COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14

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3.

Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18

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5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31

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10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45

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15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59

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20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis
63

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22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system

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Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or

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to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears

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a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes

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i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes

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i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear

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ii. Angular gear
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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes

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i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear

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iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear
c. Rack and Pinion

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4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:

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Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a

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noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear

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Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:

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? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is

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describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.

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? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is

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known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.

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? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is

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known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.

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? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the

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pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.

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? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch

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point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the

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shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting

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shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble

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those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission

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efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear

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14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same

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helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission

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direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:
Thus gear, types and its parameters were studied.

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Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.

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4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch

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4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear

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10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.

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15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?

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20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:

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1. Total reduction in speed (N) = (N
1
? N
2
) / N

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1
x 100 in %
Where,
N
1

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= Input Speed in rpm
N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)

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Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front

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panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Tabulation:

Sl. No.
Input Speed in
rpm

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(N
1
)
Output Speed in
rpm

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(N
2
)
Total reduction in
Speed (N)

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Speed Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?

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6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?

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11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?

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15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?

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20. What are various types of torques in an epicyclic gear train?

Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train

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Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of

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electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1 x
100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1
)

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Output Speed in
rpm (N
2
)
Total reduction in

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Speed (N)

Speed
Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.

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19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?

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4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?

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5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?

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9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?

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14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:

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To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)

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Left wheel (N L) = (input speed / output speed)

Tabulation:

Sl. No. Input Speed (rpm) N

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Output Speed
(rpm)
Total reduction in
Speed (N)
Speed Ratio

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Right
Wheel
(N
1
)

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Left
Wheel
(N
2
)

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Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
Input Speed Vs Output Speed (for N

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R
and N
L
)
Result:

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Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:

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The differential gear trains are used in the rear drive of an automobile.



1. What is meant by an idle gear?

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2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?

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6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?

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11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?

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16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer

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Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.

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2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:

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Torque = (W
1
? W
2
) x 9.81 x r N-m

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Effective radius (r) = r
r
+ r
d
Where,

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W
1
and W
2
= Spring balance weight in Kg

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r
d
and r
r
= Radius of drum and the radius of rope in m

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Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.

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Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering

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mechanisms, lifts, conveyors, presses.

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Sl.

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No.
Output
Speed
in rpm
(N

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2
)
Input
Speed
in rpm

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(N
1
)
Spring
balance

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weight
No. of
revolutions
in
wattmeter

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(N
E)


Time taken

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for 2
revolutions
(Sec)

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Torque
(N-m)

Output
Power

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(KW)

Input
Power
(KW)

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Transmission
Efficiency
(?%)
W

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1
(Kg)
W
2
(Kg)

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24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?

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6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.

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11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?

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16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

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25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER

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MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms

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Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms

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5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?

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P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is

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the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

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The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.

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3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link

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1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.

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4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)

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2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.
2. In reciprocating compressor.

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3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.
Result:

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Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.

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28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?

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4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.

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9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position

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14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair

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19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:

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To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft

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is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.

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2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:
Sl. No.

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Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of

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universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.

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6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?

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11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity

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16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

Aim:

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To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean

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diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.

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Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n
) = 1/T (in Hz)

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Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2
x l (in Kg-m

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2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L

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( m)

Time for 10
oscillations
in (Sec)

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Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia
Kg m

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2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:

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From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?

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4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem

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9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort

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14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy

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19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:

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To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)

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Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec

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L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.

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3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.

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Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10

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b = ________ (in m) b
1
=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:

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Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.

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Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.

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Mass added
m (Kg)
Length of
string
L (m)

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Time taken
for ?N? osc.
T(Sec)
Time taken for

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one osc.
(t) Sec
Natural
frequency F
n

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(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?

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6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?

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12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?

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17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?

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Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF

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INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally

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Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T
exp

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) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K
2

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+ h
1
2
)/gh
1

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)
Experimental radius of gyration (K
exp
) = h/?12 (in m)
Theoretical radius of gyration (K

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theo
) = ? ((gh
1
T
2

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/4?
2
)- h
1
2

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) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod

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Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)
(by Theoretical ) = 1/ T

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theo
(Hz)
Moment of inertia (I) = mk
2
in kg-m

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2

Equivalent Length of pendulum (l) = (K
2
+ h

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2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.

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3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h
1

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(m)
Time for 10
oscillations
t (Sec)
Time for a

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oscillation T
(Sec)
Natural frequency
Fn (Hz)
Experimental

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radius of
gyration K (m)
Moment
of inertia
I

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(m)
Equivalent
Length of
pendulum
l

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(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

Exp

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K
exp

Theo
K

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theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)

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(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally

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Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Define - Two node frequencies

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2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.

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7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?

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12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.

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17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:

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To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:

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1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and

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weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p

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Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:

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Sl.
No.
Speed
of disc,
N

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rpm
Applied
Load m,
kg
Angle of

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precision
in
Degrees
Time
taken t,

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sec
Observed
direction of
displacement
Angular

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Velocity
(rad/s)
Torque
(N - m)
Observed

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Velocity
m/sec
Theoretical
Velocity
m/sec

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Theoretical
Couple
N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:

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From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.

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2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.


1. What is gyroscopic couple?

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2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.

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7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?

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12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration

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Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE

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AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism

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Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a

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rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.

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Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide

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3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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1. Cam profile

Sl. No.
Angle of
rotation

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(degrees)
Lift
in mm
Displacement
in mm

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Velocity
in m/s
Acceleration
(x 10
-3

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)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and

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to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.

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3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?

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8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam

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13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.

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18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

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Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:

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Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings

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fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,

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which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)

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=1/t
p
Hz, Where, t
p
= 2?g/ ?

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Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness

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1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness

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Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period

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3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

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Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical

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spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:

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The spring mass system concept is used to designing the helical spring.

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Sl
no

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Mass
added
M
(kg)
Length of the

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Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

Time for 10

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oscillation
T (sec)
Time
period for
one tp

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(sec)
Experimental
natural
frequency,
f , Hz

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Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?

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6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?

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11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.

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16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

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47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14
UNDAMPED AND DAMPED NATURAL AND

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FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped

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vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from

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the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.

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3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.

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6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.
8. Arrange the set up as described above.

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9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.

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13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.

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16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.
Length

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L
1 (mm)
No. of oscillations
n
Time for n

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oscillation
T (s)
Periodic time
(Expt.) T
Natural

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frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)

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L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.
Speed

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rpm
Forcing frequency
c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system

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Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?

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5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in

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torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.

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13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses

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Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the

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beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s

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2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm

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E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4
= bh3/12

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3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.

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4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.

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51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.

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Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.

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No.
Applied
mass
m (kg)
Deflection

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(mm)
Theoretical
deflection
T
(mm)

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Experimental
Stiffness
k (N/mm)
Theoretical
Stiffness

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k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:

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From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.
2. What is meant by overhanging beam?

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3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure

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8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?

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13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?

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18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

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53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:

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Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T
= Wl

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3
/48EI for central concentrated load.
Defection at the load point, ?
T
= Wa

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2
b
2
/3EI for offset concentrated load.
Defection at the center, ?

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T
= 5wl
4
/384EI for uniformly distributed load.
I = bd

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3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz

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Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m
Procedure:

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1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.
Mass added

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m , kg
Experimental
Deflection
?, m
Theoretical

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Deflection
?
T
, m
Theoretical

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Nat. freq.
f
n
, Hz
Experimental

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Stiffness
K, N/m
Theoretical
Stiffness
K, N/m

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54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)

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2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T

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= 48EI/l
3
for center load,
= 3EIl/a
2

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b
2
for offset load,
= 384EI/5l
3

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for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?

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4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.

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9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve

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14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL

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FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock

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Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and

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tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I
A

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and I
A ? MI of disc A and B respectively (in Kg-m
2
)
D ? Dia of the shaft (in m)

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R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A
? (W

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A
/g) x (D
A
/8)
2

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= m
A
. D
A
/8

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2
I
B
? (W
B

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/g) x (D
A
/8)
2
+ (2W

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1
/g)x(R/8)
2
= (m
B

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. D
B
/8) + (2mR /8 )
Dia of disc A (D
A

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) = m
Dia of disc B (D
B
) = m
Weight of disc A (m

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A
) = Kg
Weight of disc B (m
B
) = Kg

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Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:

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T
theo
= 2? ((I
A.
I

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B
) / k
t
(I
A

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+ I
B
)) in Sec
T
exp

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= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4

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/32) in m
Tabulation:

Sl.
No.

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Load
(Kg)
No. of
oscillation
s

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Time
for 10
oscillations
Time
for 1

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oscillation
MMI of disc A
(I
A
) Kg-m

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2

MMI of disc B
(I
B

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) Kg-m
2

Experimental
Frequency

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Hz


Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The

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results are:
1. Moment of Inertial of I
A
= Kg ? m
2

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2. Moment of Inertial of I
B
= Kg ? m
2

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3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double

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rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. Define - Torsional vibration

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2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?

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6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.

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10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?

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15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?

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20. Mention important types of free vibrations.


Viva-voce

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59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:

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To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation

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becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of

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eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz

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g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:

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1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.

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Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft

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3. Natural frequency
4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.
Outcome:

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From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?

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4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?

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9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.

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14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

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61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
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Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.

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2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is

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dynamically balanced.
Tabulation:
Sl. No.
Planes of
mass

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Mass m,
kg
Radius r,
m
C. Force /

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?
2
mr,
kg-m
Distance from

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Ref. Plane l,
m
Couple / ?
2
mrl,

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kg-m
2

1
2

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3
4
A
B
C

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D

Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon

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Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid

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of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

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63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is the effect of hammer blow and what is the cause it?

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2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses

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7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?

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12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.20 BALANCING OF RECIPROCATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon

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Apparatus required:
Reciprocating system, weights, steel rule, etc
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.

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2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is

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dynamically balanced.
Tabulation:
Sl. No.
Planes of
mass

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Mass m,
kg
Radius r,
m
C. Force /

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?
2
mr,
kg-m
Distance from

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Ref. Plane l,
m
Couple / ?
2
mrl,

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kg-m
2

1
2

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3
4
A
B
C

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D

Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon

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Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid

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65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in

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heavy industrial machines such as gas turbines and electric generators.


1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?

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3. Define - Static balancing
4. Define - Dynamic balancing
5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.

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8. State the condition for static balancing.
9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?

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13. What are the various cases of balancing revolving masses?
14. Define - Tractive force
15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?

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18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?

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Viva-voce

66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND

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ACCELERATION USING VIBRATION ANALYSIS
Aim:
To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier

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Graph:
1. Frequency Vs Displacement
2. Frequency Vs Velocity
3. Frequency Vs Acceleration
Procedure:

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1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.
5. Vary the input and note down the observations.

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Tabulation:

Sl.No. Frequency in Hz
Displacement X

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200 ?
Velocity X 200
mm/s
Acceleration X
200 m/s

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2



Result:

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Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.
Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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using vibration analysis
Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.

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1. When involutes interference occurs?
2. Define - Cycloid
3. Define - Gear tooth system.

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4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch
6. What is meant by angle of dwell?
7. What is meant by contact ratio?
8. Define - Pressure angle

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9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system
11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.

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14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?
16. Define - Coefficient of sensitiveness
17. Explain controlling force?
18. Define - Isolation factor

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19. Define - Influence co- efficient
20. Define - Inertia force
Viva-voce

68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.22 HARTNELL GOVERNOR

Aim:
To find the stiffness, sensitivity and effort of the spring using Hartnell governor

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Apparatus required:
Hartnell governor setup and Tachometer
Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball
crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and

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the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.
Formula:
F
c 1

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= m ? 1
2


r

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1
(N) and F
c 2
= m ? 2
2

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r 2 (N)
?
1
= 2?N

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1
/60 rad/s and ?
2
=2?N
2

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/60 rad/s
S
1
= 2Fc
1

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(x/y) N and S
2
=2Fc
2
(x/y) N

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r
2
= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N
1

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-N
2
)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2
Spring stiffness = (S

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1
-S
2
)/R N/mm
Where, m= mass of the ball is (m=0.18 kg)

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?
1
& ?
2
= angular speed of governor at maximum radius and minimum radius respectively

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in rad/sec
r
1
& r
2

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= maximum and minimum radius of rotation
Fc
1
& Fc
2

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=centrifugal forces at ?
1
and ?
2
in N

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X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m
S
1
& S

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2
= spring forces at ?
1
& ?
2

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in N
Procedure:
1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed
and immediately control the speed of the governor

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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

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Sl.
No.
Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)
Min Max mean

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X=______ , Y=______ , r
1
= r

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Graph:
1. Mean speed Vs. Sensitivity
2. Mean speed Vs. Effort
Result:
Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.

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Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the
spring using Hartnell governor which is used in diesel engines.
Application:
The hartnell governor is used in stationary steam engines, traction engines

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1. What is the function of governor?
2. How governors are classified?

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3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?
5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness
7. What is meant by hunting?

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8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor
10. What is the principle of working of centrifugal governor?
11. Define - Power of governor
12. Explain the term stability of governor.

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13. Explain sensitiveness of governors.
14. Explain governor effect.
15. What is the principle of inertia governors?
16. What is equilibrium speed?
17. Differentiate hunting from sensitiveness.

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18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.
20. When is a governor said to be stable?

Viva-voce

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71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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72 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.23 STUDY OF VIBRATION
Aim:
To study the vibration, causes and its characteristics
Vibration:
Vibration is simply the motion of a machine of machine part back and forth from its position of

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rest. The simplest way to show vibration is to follow the motion of a weight suspended on the end
of a spring. This is typical of all machines since they too have weight and spring like property.
Vibration of the response of a system to some internal or external or force applied to the system.
Causes of vibrations:
The most common problems that produce vibration are,

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1. Unbalance of rotating parts
2. Misalignment of couplings and bearings
3. Bent shaft
4. Worn eccentric or damaged gears
5. Bad drive belts and drive chains

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6. Bad bearings
7. Torque variations
8. Electromagnetic force
9. Aerodynamic forces
10. Hydraulic forces

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11. Looseness
12. Rubbing
13. Resonance
The characteristics of vibration:
A machine?s condition and mechanical problems are determined by measuring its vibration

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characteristics. The more important of these characteristics include,
1. Frequency
2. Displacement
3. Velocity
4. Acceleration

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5. Phase
6. Spike energy

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Vibration frequency:
Vibration frequency is the measure of the number of complete cycle that occurs in a
specified period of time. Frequency is related to the period of a vibration pattern by this simple
formula,
Frequency =

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1

Time period
Vibration displacement:
The total distance travelled by the vibrating part from one extreme limit of travel to the other

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extreme limit of travel to the other extreme limit of travel is referred to as the ?peak to peak
displacement?. The peak to peak displacement is expressed in micro meter.
Vibration velocity:
Since the vibration weight is moving, it must be moving at some speed. However the speed of
the weight is constantly changing. The speed of velocity is greatest as the weight passes the

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neutral position and zero at extreme ends. For measurement highest peak velocity is taken and
unit is millimeter.
Vibration acceleration:
As the velocity changes there is change in acceleration. The acceleration of the part is
maximum at the extreme limit and zero when it passes neutral position. Vibration acceleration is

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normally expressed in ?g?s? peak, where one ?g? is the acceleration produced by the force
of gravity at the surface of the earth i.e. 9.81 m/s
2
.
Vibration phase:

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Another important characteristic of vibration is phase. Phase is defined as the position of
vibrating part at a given instance with reference to a fixed point or another vibrating part. In a
practical sense, phase measurements offer a convenient way to compare one vibration motion
with another; or to determine how one part is vibrating relative to another part.
Vibration spike energy:

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Spike energy measurements include very short duration, high frequency, spike like
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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:

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Free vibration of a spring mass system
Sl. No.
Length
L
1 (mm)

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No. of oscillations
n
Time for n
oscillation
T (s)

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Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency

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c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)

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Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock

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absorber.



1. What is neutral layer?

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2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance

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7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section

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15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses

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Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.

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Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.

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2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2

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, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:

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1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.

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6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:

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Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.
Applied

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mass
m (kg)
Deflection
(mm)
Theoretical

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deflection
T
(mm)
Experimental
Stiffness

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k (N/mm)
Theoretical
Stiffness
k (N/mm)
Natural

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frequency f n
(Hz)


Result:

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Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.

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5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?

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10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance

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15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow

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20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:

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To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:

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Defection at the center, ?
T
= Wl
3
/48EI for central concentrated load.

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Defection at the load point, ?
T
= Wa
2
b

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2
/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl

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4
/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.

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Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2

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and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.

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3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg
Experimental

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Deflection
?, m
Theoretical
Deflection
?

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T
, m
Theoretical
Nat. freq.
f

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n
, Hz
Experimental
Stiffness
K, N/m

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Theoretical
Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency

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Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l
3

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for center load,
= 3EIl/a
2
b
2

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for offset load,
= 384EI/5l
3
for uniformly distributed load
Result:

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Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section

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6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.

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11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:

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To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.

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2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:

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Let, L ? Length of shaft (in m)
I
A
and I
A ? MI of disc A and B respectively (in Kg-m

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2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm

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I
A
? (W
A
/g) x (D

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A
/8)
2
= m
A

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. D
A
/8
2
I

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B
? (W
B
/g) x (D
A

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/8)
2
+ (2W
1
/g)x(R/8)

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2
= (m
B
. D
B

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/8) + (2mR /8 )
Dia of disc A (D
A
) = m
Dia of disc B (D

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B
) = m
Weight of disc A (m
A
) = Kg

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Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k

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t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T
theo

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= 2? ((I
A.
I
B
) / k

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t
(I
A
+ I
B

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)) in Sec
T
exp
= t/N in Sec
Where,

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G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)

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No. of
oscillation
s
Time
for 10

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oscillations
Time
for 1
oscillation
MMI of disc A

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(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I

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A
= Kg ? m
2

2. Moment of Inertial of I

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B
= Kg ? m
2

3. Theoretical Frequency = Hz

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4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:

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The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft

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4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.

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12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity

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17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:

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Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although

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the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:

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f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m

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L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.

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3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia

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60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency
4. Critical speed

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Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions

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Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude

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6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.

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11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?

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16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.19 BALANCING OF ROTATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:
Rotor system, weights, steel rule, etc?

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple

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polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:

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The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.

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4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?

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9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?

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14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

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64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and

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couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing

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5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.

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10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force

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15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.

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20. Why cranks of a locomotive are generally at right angles to one another?


Viva-voce

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66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:

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To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement

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2. Frequency Vs Velocity
3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.

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3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.
5. Vary the input and note down the observations.

Tabulation:

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Sl.No. Frequency in Hz
Displacement X
200 ?
Velocity X 200

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mm/s
Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.

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Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis

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Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.

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1. When involutes interference occurs?
2. Define - Cycloid
3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch

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6. What is meant by angle of dwell?
7. What is meant by contact ratio?
8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system

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11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?

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16. Define - Coefficient of sensitiveness
17. Explain controlling force?
18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force

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Viva-voce

68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

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Aim:
To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer

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Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball
crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.

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Formula:
F
c 1
= m ? 1
2

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r
1
(N) and F

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c 2
= m ? 2
2

r 2 (N)

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?
1
= 2?N
1
/60 rad/s and ?

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2
=2?N
2
/60 rad/s
S

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1
= 2Fc
1
(x/y) N and S
2

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=2Fc
2
(x/y) N
r
2

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= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N
1
-N
2

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)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2
Spring stiffness = (S
1
-S

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2
)/R N/mm
Where, m= mass of the ball is (m=0.18 kg)
?
1

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& ?
2
= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r

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1
& r
2
= maximum and minimum radius of rotation
Fc

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1
& Fc
2
=centrifugal forces at ?
1

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and ?
2
in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m

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S
1
& S
2
= spring forces at ?

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1
& ?
2
in N
Procedure:

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1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed
and immediately control the speed of the governor
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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

Sl.
No.

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Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)
Min Max mean

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X=______ , Y=______ , r
1
= r
Graph:
1. Mean speed Vs. Sensitivity

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2. Mean speed Vs. Effort
Result:
Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the

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spring using Hartnell governor which is used in diesel engines.
Application:
The hartnell governor is used in stationary steam engines, traction engines

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70 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the function of governor?
2. How governors are classified?
3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?

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5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness
7. What is meant by hunting?
8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor

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10. What is the principle of working of centrifugal governor?
11. Define - Power of governor
12. Explain the term stability of governor.
13. Explain sensitiveness of governors.
14. Explain governor effect.

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15. What is the principle of inertia governors?
16. What is equilibrium speed?
17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.

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20. When is a governor said to be stable?

Viva-voce

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71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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72 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.23 STUDY OF VIBRATION
Aim:

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To study the vibration, causes and its characteristics
Vibration:
Vibration is simply the motion of a machine of machine part back and forth from its position of
rest. The simplest way to show vibration is to follow the motion of a weight suspended on the end
of a spring. This is typical of all machines since they too have weight and spring like property.

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Vibration of the response of a system to some internal or external or force applied to the system.
Causes of vibrations:
The most common problems that produce vibration are,
1. Unbalance of rotating parts
2. Misalignment of couplings and bearings

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3. Bent shaft
4. Worn eccentric or damaged gears
5. Bad drive belts and drive chains
6. Bad bearings
7. Torque variations

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8. Electromagnetic force
9. Aerodynamic forces
10. Hydraulic forces
11. Looseness
12. Rubbing

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13. Resonance
The characteristics of vibration:
A machine?s condition and mechanical problems are determined by measuring its vibration
characteristics. The more important of these characteristics include,
1. Frequency

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2. Displacement
3. Velocity
4. Acceleration

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5. Phase
6. Spike energy
Vibration frequency:
Vibration frequency is the measure of the number of complete cycle that occurs in a

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specified period of time. Frequency is related to the period of a vibration pattern by this simple
formula,
Frequency =
1

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Time period
Vibration displacement:
The total distance travelled by the vibrating part from one extreme limit of travel to the other
extreme limit of travel to the other extreme limit of travel is referred to as the ?peak to peak
displacement?. The peak to peak displacement is expressed in micro meter.

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Vibration velocity:
Since the vibration weight is moving, it must be moving at some speed. However the speed of
the weight is constantly changing. The speed of velocity is greatest as the weight passes the
neutral position and zero at extreme ends. For measurement highest peak velocity is taken and
unit is millimeter.

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Vibration acceleration:
As the velocity changes there is change in acceleration. The acceleration of the part is
maximum at the extreme limit and zero when it passes neutral position. Vibration acceleration is
normally expressed in ?g?s? peak, where one ?g? is the acceleration produced by the force
of gravity at the surface of the earth i.e. 9.81 m/s

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2
.
Vibration phase:
Another important characteristic of vibration is phase. Phase is defined as the position of
vibrating part at a given instance with reference to a fixed point or another vibrating part. In a

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practical sense, phase measurements offer a convenient way to compare one vibration motion
with another; or to determine how one part is vibrating relative to another part.
Vibration spike energy:
Spike energy measurements include very short duration, high frequency, spike like

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74 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

pluses of vibration energy that occur in machinery as a result of,
1. Surface flows in rolling elements of bearings or gears.
2. Rubs, impact and metal to metal contact in rotating machine.

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3. High pressure steam or air leaks.
4. Cavitation of flow turbulence in fluids.
Spike energy measurement has its own unique units of measurement. Although spike energy
measurements are basically a measure of vibration acceleration. For this reason spike energy
measurements are expressed in ?g-SE? units.

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Vibration analysis data acquisition:
Vibration analysis is a 2 step process involving the acquisition and interpretation of machinery
vibration data. Its purpose is to determine the mechanical condition of a machine and pinpoint any
specific mechanical or operational defects.
Digital stroboscope:

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Digital stroboscope is a microprocessor circuit design. High accuracy, digital readout, light duty. It
is ideal for inspecting and measuring the speed of moving gears, fan centrifuges, pump, motors
and other equipment used in general industrial maintenance, production, quality control.
This stroboscope employs an exclusive chip of microcomputer LSI circuit & crystal control time
base which results in accuracy over a wide dynamic range.

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Result:
Thus the study of vibration, causes and its characteristics was studied.
Outcome:
From this experiment, students will be able to demonstrate the vibration, causes and its
characteristics

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Application:
The vibration concept comes in designing of every mechanical equipment like lathe, drilling, tool
box, gear box.

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:

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Free vibration of a spring mass system
Sl. No.
Length
L
1 (mm)

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No. of oscillations
n
Time for n
oscillation
T (s)

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Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency

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c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)

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Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock

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absorber.



1. What is neutral layer?

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2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance

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7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section

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15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses

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Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.

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Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.

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2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2

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, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:

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1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.

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6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:

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Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.
Applied

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mass
m (kg)
Deflection
(mm)
Theoretical

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deflection
T
(mm)
Experimental
Stiffness

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k (N/mm)
Theoretical
Stiffness
k (N/mm)
Natural

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frequency f n
(Hz)


Result:

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Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.

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5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?

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10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance

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15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow

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20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:

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To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:

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Defection at the center, ?
T
= Wl
3
/48EI for central concentrated load.

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Defection at the load point, ?
T
= Wa
2
b

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2
/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl

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4
/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.

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Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2

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and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.

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3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg
Experimental

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Deflection
?, m
Theoretical
Deflection
?

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T
, m
Theoretical
Nat. freq.
f

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n
, Hz
Experimental
Stiffness
K, N/m

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Theoretical
Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency

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Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l
3

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for center load,
= 3EIl/a
2
b
2

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for offset load,
= 384EI/5l
3
for uniformly distributed load
Result:

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Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section

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6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.

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11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:

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To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.

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2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:

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Let, L ? Length of shaft (in m)
I
A
and I
A ? MI of disc A and B respectively (in Kg-m

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2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm

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I
A
? (W
A
/g) x (D

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A
/8)
2
= m
A

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. D
A
/8
2
I

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B
? (W
B
/g) x (D
A

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/8)
2
+ (2W
1
/g)x(R/8)

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2
= (m
B
. D
B

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/8) + (2mR /8 )
Dia of disc A (D
A
) = m
Dia of disc B (D

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B
) = m
Weight of disc A (m
A
) = Kg

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Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k

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t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T
theo

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= 2? ((I
A.
I
B
) / k

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t
(I
A
+ I
B

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)) in Sec
T
exp
= t/N in Sec
Where,

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G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)

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No. of
oscillation
s
Time
for 10

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oscillations
Time
for 1
oscillation
MMI of disc A

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(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I

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A
= Kg ? m
2

2. Moment of Inertial of I

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B
= Kg ? m
2

3. Theoretical Frequency = Hz

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4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:

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The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft

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4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.

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12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity

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17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:

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Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although

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the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:

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f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m

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L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.

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3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia

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60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency
4. Critical speed

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Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions

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Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude

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6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.

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11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?

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16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.19 BALANCING OF ROTATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:
Rotor system, weights, steel rule, etc?

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple

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polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:

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The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.

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4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?

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9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?

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14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

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64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and

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couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing

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5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.

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10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force

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15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.

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20. Why cranks of a locomotive are generally at right angles to one another?


Viva-voce

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66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:

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To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement

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2. Frequency Vs Velocity
3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.

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3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.
5. Vary the input and note down the observations.

Tabulation:

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Sl.No. Frequency in Hz
Displacement X
200 ?
Velocity X 200

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mm/s
Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.

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Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis

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Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.

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1. When involutes interference occurs?
2. Define - Cycloid
3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch

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6. What is meant by angle of dwell?
7. What is meant by contact ratio?
8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system

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11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?

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16. Define - Coefficient of sensitiveness
17. Explain controlling force?
18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force

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Viva-voce

68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

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Aim:
To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer

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Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball
crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.

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Formula:
F
c 1
= m ? 1
2

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r
1
(N) and F

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c 2
= m ? 2
2

r 2 (N)

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?
1
= 2?N
1
/60 rad/s and ?

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2
=2?N
2
/60 rad/s
S

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1
= 2Fc
1
(x/y) N and S
2

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=2Fc
2
(x/y) N
r
2

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= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N
1
-N
2

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)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2
Spring stiffness = (S
1
-S

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2
)/R N/mm
Where, m= mass of the ball is (m=0.18 kg)
?
1

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& ?
2
= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r

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1
& r
2
= maximum and minimum radius of rotation
Fc

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1
& Fc
2
=centrifugal forces at ?
1

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and ?
2
in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m

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S
1
& S
2
= spring forces at ?

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1
& ?
2
in N
Procedure:

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1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed
and immediately control the speed of the governor
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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

Sl.
No.

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Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)
Min Max mean

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X=______ , Y=______ , r
1
= r
Graph:
1. Mean speed Vs. Sensitivity

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2. Mean speed Vs. Effort
Result:
Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the

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spring using Hartnell governor which is used in diesel engines.
Application:
The hartnell governor is used in stationary steam engines, traction engines

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70 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the function of governor?
2. How governors are classified?
3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?

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5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness
7. What is meant by hunting?
8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor

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10. What is the principle of working of centrifugal governor?
11. Define - Power of governor
12. Explain the term stability of governor.
13. Explain sensitiveness of governors.
14. Explain governor effect.

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15. What is the principle of inertia governors?
16. What is equilibrium speed?
17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.

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20. When is a governor said to be stable?

Viva-voce

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71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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72 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.23 STUDY OF VIBRATION
Aim:

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To study the vibration, causes and its characteristics
Vibration:
Vibration is simply the motion of a machine of machine part back and forth from its position of
rest. The simplest way to show vibration is to follow the motion of a weight suspended on the end
of a spring. This is typical of all machines since they too have weight and spring like property.

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Vibration of the response of a system to some internal or external or force applied to the system.
Causes of vibrations:
The most common problems that produce vibration are,
1. Unbalance of rotating parts
2. Misalignment of couplings and bearings

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3. Bent shaft
4. Worn eccentric or damaged gears
5. Bad drive belts and drive chains
6. Bad bearings
7. Torque variations

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8. Electromagnetic force
9. Aerodynamic forces
10. Hydraulic forces
11. Looseness
12. Rubbing

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13. Resonance
The characteristics of vibration:
A machine?s condition and mechanical problems are determined by measuring its vibration
characteristics. The more important of these characteristics include,
1. Frequency

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2. Displacement
3. Velocity
4. Acceleration

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5. Phase
6. Spike energy
Vibration frequency:
Vibration frequency is the measure of the number of complete cycle that occurs in a

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specified period of time. Frequency is related to the period of a vibration pattern by this simple
formula,
Frequency =
1

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Time period
Vibration displacement:
The total distance travelled by the vibrating part from one extreme limit of travel to the other
extreme limit of travel to the other extreme limit of travel is referred to as the ?peak to peak
displacement?. The peak to peak displacement is expressed in micro meter.

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Vibration velocity:
Since the vibration weight is moving, it must be moving at some speed. However the speed of
the weight is constantly changing. The speed of velocity is greatest as the weight passes the
neutral position and zero at extreme ends. For measurement highest peak velocity is taken and
unit is millimeter.

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Vibration acceleration:
As the velocity changes there is change in acceleration. The acceleration of the part is
maximum at the extreme limit and zero when it passes neutral position. Vibration acceleration is
normally expressed in ?g?s? peak, where one ?g? is the acceleration produced by the force
of gravity at the surface of the earth i.e. 9.81 m/s

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2
.
Vibration phase:
Another important characteristic of vibration is phase. Phase is defined as the position of
vibrating part at a given instance with reference to a fixed point or another vibrating part. In a

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practical sense, phase measurements offer a convenient way to compare one vibration motion
with another; or to determine how one part is vibrating relative to another part.
Vibration spike energy:
Spike energy measurements include very short duration, high frequency, spike like

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74 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

pluses of vibration energy that occur in machinery as a result of,
1. Surface flows in rolling elements of bearings or gears.
2. Rubs, impact and metal to metal contact in rotating machine.

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3. High pressure steam or air leaks.
4. Cavitation of flow turbulence in fluids.
Spike energy measurement has its own unique units of measurement. Although spike energy
measurements are basically a measure of vibration acceleration. For this reason spike energy
measurements are expressed in ?g-SE? units.

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Vibration analysis data acquisition:
Vibration analysis is a 2 step process involving the acquisition and interpretation of machinery
vibration data. Its purpose is to determine the mechanical condition of a machine and pinpoint any
specific mechanical or operational defects.
Digital stroboscope:

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Digital stroboscope is a microprocessor circuit design. High accuracy, digital readout, light duty. It
is ideal for inspecting and measuring the speed of moving gears, fan centrifuges, pump, motors
and other equipment used in general industrial maintenance, production, quality control.
This stroboscope employs an exclusive chip of microcomputer LSI circuit & crystal control time
base which results in accuracy over a wide dynamic range.

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Result:
Thus the study of vibration, causes and its characteristics was studied.
Outcome:
From this experiment, students will be able to demonstrate the vibration, causes and its
characteristics

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Application:
The vibration concept comes in designing of every mechanical equipment like lathe, drilling, tool
box, gear box.

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75 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.

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Viva-voce

FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.

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2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?

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7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?

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12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?

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17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load

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Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T

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= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?
T

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= Wa
2
b
2
/3EI for offset concentrated load.

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Defection at the center, ?
T
= 5wl
4
/384EI for uniformly distributed load.

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I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n

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= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m

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Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.

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Mass added
m , kg
Experimental
Deflection
?, m

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Theoretical
Deflection
?
T
, m

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Theoretical
Nat. freq.
f
n
, Hz

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Experimental
Stiffness
K, N/m
Theoretical
Stiffness

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K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:

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1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?

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T
= 48EI/l
3
for center load,
= 3EIl/a

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2
b
2
for offset load,
= 384EI/5l

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3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.

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3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.

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8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.

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13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:

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Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.

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4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I

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A
and I
A ? MI of disc A and B respectively (in Kg-m
2
)

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D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A

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? (W
A
/g) x (D
A
/8)

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2
= m
A
. D
A

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/8
2
I
B
? (W

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B
/g) x (D
A
/8)
2

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+ (2W
1
/g)x(R/8)
2
= (m

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B
. D
B
/8) + (2mR /8 )
Dia of disc A (D

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A
) = m
Dia of disc B (D
B
) = m

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Weight of disc A (m
A
) = Kg
Weight of disc B (m
B

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) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I
A.

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I
B
) / k
t
(I

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A
+ I
B
)) in Sec
T

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exp
= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d

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4
/32) in m
Tabulation:

Sl.

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No.
Load
(Kg)
No. of
oscillation

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s
Time
for 10
oscillations
Time

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for 1
oscillation
MMI of disc A
(I
A

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) Kg-m
2

MMI of disc B
(I

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B
) Kg-m
2

Experimental

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Frequency
Hz


Result:

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Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A
= Kg ? m

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2

2. Moment of Inertial of I
B
= Kg ? m

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2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:

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From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional

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vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.

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9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.

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14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity

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19. What is dry friction damper?
20. Mention important types of free vibrations.


Viva-voce

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59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up
Description:

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The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts

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radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,

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f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)

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Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.

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5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.

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Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?

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3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?

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8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?

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13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?

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Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon

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4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

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63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.

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6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple

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11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.20 BALANCING OF RECIPROCATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon

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4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

of the force polygon
Application:

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The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.


1. What is meant by balancing of rotating masses?

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2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing
5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?

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7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses

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12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force
15. Define - Swaying couple
16. What are in ? line engines?

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17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?

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Viva-voce

66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:
To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:

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Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement
2. Frequency Vs Velocity
3. Frequency Vs Acceleration

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Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.

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5. Vary the input and note down the observations.

Tabulation:

Sl.No. Frequency in Hz

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Displacement X
200 ?
Velocity X 200
mm/s
Acceleration X

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200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.
Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration

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67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis
Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and

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turbine engines.


1. When involutes interference occurs?
2. Define - Cycloid

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3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch
6. What is meant by angle of dwell?
7. What is meant by contact ratio?

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8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system
11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed

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13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?
16. Define - Coefficient of sensitiveness
17. Explain controlling force?

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18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force
Viva-voce

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68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

Aim:

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To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer
Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball

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crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.
Formula:
F

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c 1
= m ? 1
2

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r
1
(N) and F
c 2
= m ? 2

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2

r 2 (N)
?
1

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= 2?N
1
/60 rad/s and ?
2
=2?N

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2
/60 rad/s
S
1
= 2Fc

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1
(x/y) N and S
2
=2Fc
2

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(x/y) N
r
2
= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N

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1
-N
2
)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2

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Spring stiffness = (S
1
-S
2
)/R N/mm

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Where, m= mass of the ball is (m=0.18 kg)
?
1
& ?
2

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= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r
1
& r

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2
= maximum and minimum radius of rotation
Fc
1
& Fc

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2
=centrifugal forces at ?
1
and ?
2

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in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m
S
1

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& S
2
= spring forces at ?
1
& ?

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2
in N
Procedure:
1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed

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and immediately control the speed of the governor
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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

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Sl.
No.
Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)

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Min Max mean


X=______ , Y=______ , r
1

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= r
Graph:
1. Mean speed Vs. Sensitivity
2. Mean speed Vs. Effort
Result:

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Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the
spring using Hartnell governor which is used in diesel engines.
Application:

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The hartnell governor is used in stationary steam engines, traction engines

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1. What is the function of governor?

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2. How governors are classified?
3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?
5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness

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7. What is meant by hunting?
8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor
10. What is the principle of working of centrifugal governor?
11. Define - Power of governor

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12. Explain the term stability of governor.
13. Explain sensitiveness of governors.
14. Explain governor effect.
15. What is the principle of inertia governors?
16. What is equilibrium speed?

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17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.
20. When is a governor said to be stable?

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Viva-voce


71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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72 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.23 STUDY OF VIBRATION
Aim:
To study the vibration, causes and its characteristics
Vibration:

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Vibration is simply the motion of a machine of machine part back and forth from its position of
rest. The simplest way to show vibration is to follow the motion of a weight suspended on the end
of a spring. This is typical of all machines since they too have weight and spring like property.
Vibration of the response of a system to some internal or external or force applied to the system.
Causes of vibrations:

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The most common problems that produce vibration are,
1. Unbalance of rotating parts
2. Misalignment of couplings and bearings
3. Bent shaft
4. Worn eccentric or damaged gears

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5. Bad drive belts and drive chains
6. Bad bearings
7. Torque variations
8. Electromagnetic force
9. Aerodynamic forces

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10. Hydraulic forces
11. Looseness
12. Rubbing
13. Resonance
The characteristics of vibration:

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A machine?s condition and mechanical problems are determined by measuring its vibration
characteristics. The more important of these characteristics include,
1. Frequency
2. Displacement
3. Velocity

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4. Acceleration

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5. Phase

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6. Spike energy
Vibration frequency:
Vibration frequency is the measure of the number of complete cycle that occurs in a
specified period of time. Frequency is related to the period of a vibration pattern by this simple
formula,

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Frequency =
1

Time period
Vibration displacement:

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The total distance travelled by the vibrating part from one extreme limit of travel to the other
extreme limit of travel to the other extreme limit of travel is referred to as the ?peak to peak
displacement?. The peak to peak displacement is expressed in micro meter.
Vibration velocity:
Since the vibration weight is moving, it must be moving at some speed. However the speed of

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the weight is constantly changing. The speed of velocity is greatest as the weight passes the
neutral position and zero at extreme ends. For measurement highest peak velocity is taken and
unit is millimeter.
Vibration acceleration:
As the velocity changes there is change in acceleration. The acceleration of the part is

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maximum at the extreme limit and zero when it passes neutral position. Vibration acceleration is
normally expressed in ?g?s? peak, where one ?g? is the acceleration produced by the force
of gravity at the surface of the earth i.e. 9.81 m/s
2
.

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Vibration phase:
Another important characteristic of vibration is phase. Phase is defined as the position of
vibrating part at a given instance with reference to a fixed point or another vibrating part. In a
practical sense, phase measurements offer a convenient way to compare one vibration motion
with another; or to determine how one part is vibrating relative to another part.

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Vibration spike energy:
Spike energy measurements include very short duration, high frequency, spike like

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pluses of vibration energy that occur in machinery as a result of,
1. Surface flows in rolling elements of bearings or gears.
2. Rubs, impact and metal to metal contact in rotating machine.
3. High pressure steam or air leaks.
4. Cavitation of flow turbulence in fluids.

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Spike energy measurement has its own unique units of measurement. Although spike energy
measurements are basically a measure of vibration acceleration. For this reason spike energy
measurements are expressed in ?g-SE? units.
Vibration analysis data acquisition:
Vibration analysis is a 2 step process involving the acquisition and interpretation of machinery

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vibration data. Its purpose is to determine the mechanical condition of a machine and pinpoint any
specific mechanical or operational defects.
Digital stroboscope:
Digital stroboscope is a microprocessor circuit design. High accuracy, digital readout, light duty. It
is ideal for inspecting and measuring the speed of moving gears, fan centrifuges, pump, motors

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and other equipment used in general industrial maintenance, production, quality control.
This stroboscope employs an exclusive chip of microcomputer LSI circuit & crystal control time
base which results in accuracy over a wide dynamic range.
Result:
Thus the study of vibration, causes and its characteristics was studied.

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Outcome:
From this experiment, students will be able to demonstrate the vibration, causes and its
characteristics
Application:
The vibration concept comes in designing of every mechanical equipment like lathe, drilling, tool

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box, gear box.

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75 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.

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Viva-voce


76 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.24 STROBOSCOPE
Aim:
To study of speed measurement by using stroboscope
Apparatus required:

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Digital stroboscope, variable speed motor variable motor, speed control
Tabulation:
Observation Table:
Sl. No.
Variable speed motor

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Controller
(in Volts)
Stroboscope reading
(in RPM)
Contact Tachometer

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(in RPM)


Graph:
1. Variable speed motor controller (rpm) Vs stroboscope reading (rpm)

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2. Stroboscope reading (rpm) Vs non-contact type tachometer (rpm)
Procedure:
3. Preparation of the Set Up:
a. Plug unit into a properly power source.
b. Turn the power switch to ?ON? position.

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c. Determine the range switch to ?low? or ?high? position.
3. Checking speed:
When checking speed, care must be taken to ensure that stroboscope is flashing in unison
with the object being monitored. A stroboscope will also stop motion at 2:1,3:1, 4:1 etc.; this is
normally referred to as harmonics. To be sure of unison, turn the dia., until 2 images appears

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this is the actual speed.
FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tambaram, ?



DEPARTMENT OF

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MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

--- Content provided by FirstRanker.com ---

Name : _______________________________________

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Register No. : _______________________________________
Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and

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enterprising professionals conforming to global standards through value based quality education and
training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different

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levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

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MISSION
VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals

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2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which

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enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable

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them to adapt and to work in ever changing technologies
5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship

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3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as

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economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination

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10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery

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2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.

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2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.

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c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors

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6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.

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Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses

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b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

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COURSE OUTCOMES
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ME6511 - DYNAMICS LABORATORY
CONTENTS

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Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

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Experimental study of speed ratio of Epicyclic Gear
16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23

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7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37

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12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51

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17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.

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Measurement of displacement, velocity and Acceleration using vibration
analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS

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23. Study of Vibration 69
24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:

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To study the various types of gears and its parameter
Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is

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accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.

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Classification of gear:
The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s

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c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear

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a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear

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b) Spiral bevel gear
c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear

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b) Single-throated worm gear
c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing

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a. Internal gear
b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth

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b. Gears with curved teeth
c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and

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are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are

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most commonly available, and are generally the least expensive.

Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Spur Gear Terminology:


Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.

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? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as

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pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.

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? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This

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circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure

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role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known

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as module. It is reciprocal of the diametrical pitch.
12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes

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from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.

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? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents

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jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.

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? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is

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known as arc of recess.
2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears

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can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are

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tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:

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Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and

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where a delicate speed adjustment by utilizing a large speed reduction is needed.

Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:

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Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its

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parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision

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equipment.
2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

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1. Define ? Pitch circle
2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash

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7. What is axial of a helical gear?
8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system

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12. State law of gearing.
13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?

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17. Define ? Interference
18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

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EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train

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Apparatus required:
Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1
x 100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

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Sl. No.
Input Speed in
rpm
(N
1

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)
Output Speed in
rpm
(N
2

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)
Total reduction in
Speed (N)

Speed Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur

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gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and

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clothes dryer.


1. What is a simple gear train?
2. What are the types of gear trains?

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3. What is a compound gear train?
4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?

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8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?

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13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.

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17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

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Viva-voce

18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN

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EPICYCLIC GEAR TRAIN
Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N

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1
? N
2
) / N
1 x

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100 in %
Where,
N
1
= Input Speed in rpm

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N
2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:

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Input Speed Vs Output Speed.
Tabulation:

Sl. No.
Input Speed in

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rpm (N
1
)
Output Speed in
rpm (N

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2
)
Total reduction in
Speed (N)

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Speed
Ratio
(N
1
/N

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2
)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.

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Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.

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1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?

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2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.

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7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.

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11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?

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16. What is meant by crowning in pulley?
Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:

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Differential gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.

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3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:

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1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,

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N 2 = output speed in rpm
2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

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Tabulation:

Sl. No. Input Speed (rpm) N
Output Speed
(rpm)

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Total reduction in
Speed (N)
Speed Ratio
Right
Wheel

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(N
1
)
Left
Wheel

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(N
2
)
Right
Wheel

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(N
1)

Left
Wheel

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(N
2)

Right
Wheel

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N
R

Left
Wheel

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N
L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N

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L
)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between

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them?
4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?

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8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?

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13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?

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Viva-voce

22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A

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WORM GEAR REDUCER
Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,

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tachometer
Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by

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tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1

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? W
2
) x 9.81 x r N-m
Effective radius (r) = r
r

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+ r
d
Where,
W
1

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and W
2
= Spring balance weight in Kg
r
d

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and r
r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E

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)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer

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which is used in transmission systems.
Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output

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Speed
in rpm
(N
2
)

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Input
Speed
in rpm
(N
1

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)
Spring
balance
weight
No. of

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revolutions
in
wattmeter
(N
E)

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Time taken
for 2
revolutions

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(Sec)


Torque
(N-m)

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Output
Power
(KW)

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Input
Power
(KW)

Transmission

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Efficiency
(?%)
W
1
(Kg)

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W
2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?

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3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?

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8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?

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13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.

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18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:

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To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms

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2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:

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The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain

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It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.

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Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a

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much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-

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? Shortest Link Fixed
? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are

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1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.

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Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of

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link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:

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A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)

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Applications:
1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.

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5. In hand pump.
6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.

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Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.

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1. What is meant by mobility?
2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?

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6. What is pantograph?
7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.

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11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism

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16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

Aim:
To study the kinematics of universal joint
Apparatus Required:

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Universal joint with protractor
Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.

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Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and

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tabulate the driven angular positions.
Tabulation:
Sl. No.
Input Angle (Driver)
Degrees

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Output Angle (Driven)
Degrees


Result:

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Thus the kinematics of Universal Joint was studied successfully.
Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

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30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair

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3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?

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8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?

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13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?

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18. State Coriolis law.
19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.

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Viva-voce

31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF

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INERTIA USING TURN TABLE

Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:

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Turn table, masses, steel rule and brass rod
Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the

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bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)

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Frequency (F
n
) = 1/T (in Hz)
Moment of Inertia = Gd
4

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/ 128 ? x (Fn)
2
x l (in Kg-m
2
)

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Where, Rigidity Modulus (G) = 3.5 x 10
10

(in N/m
2

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) (From PSG Data Book)
Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.

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Sl.No.

Length L
( m)

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Time for 10
oscillations
in (Sec)

Time Period

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T in
(Sec)

Frequency (Hz)

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Mass Moment of
Inertia
Kg m
2

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32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.

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Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.

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1. Define ? Static force analysis
2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?

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6. Define ? Section modulus
7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort

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11. Define ? Crank pin effort
12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.

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16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:

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Main frame, bifilar plate, weights, stopwatch, thread
Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n

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) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)

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Procedure:
1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.

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5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.

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Observation:
Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1

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=___________(in m) b
2
= ________ (in m)

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34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.

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Outcome:
From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of

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an engine.

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Sl. No.
Mass added
m (Kg)

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Length of
string
L (m)

Time taken

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for ?N? osc.
T(Sec)
Time taken for
one osc.
(t) Sec

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Natural
frequency F
n
(Hz)
Radius of

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gyration (k)
(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio

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3. What is meant by transmissibility?
4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?

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9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?

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14. Define - Resonance
15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio

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19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

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36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

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Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule

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Formulae used:
Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T

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theo
) = 2? ((K
2
+ h
1

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2
)/gh
1
)
Experimental radius of gyration (K

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exp
) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh

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1
T
2
/4?
2

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)- h
1
2
) (in m)
Where, h

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1
= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T

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exp
(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)

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Moment of inertia (I) = mk
2
in kg-m
2

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Equivalent Length of pendulum (l) = (K
2
+ h
2
)/h in m

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Procedure:
1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.

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Height
h
1
(m)
Time for 10

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oscillations
t (Sec)
Time for a
oscillation T
(Sec)

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Natural frequency
Fn (Hz)
Experimental
radius of
gyration K (m)

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Moment
of inertia
I
(m)
Equivalent

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Length of
pendulum
l
(m)
Exp

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Fn
(exp)

Theo
Fn

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(theo)

Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,

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1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)

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Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation

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4. Define - Force isolation
5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration

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9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients

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14. What is continuous system?
15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant

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19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

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MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:

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Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.

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2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.

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5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m

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Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.

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Speed
of disc,
N
rpm
Applied

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Load m,
kg
Angle of
precision
in

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Degrees
Time
taken t,
sec
Observed

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direction of
displacement
Angular
Velocity
(rad/s)

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Torque
(N - m)
Observed
Velocity
m/sec

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Theoretical
Velocity
m/sec
Theoretical
Couple

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N - m

40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:

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Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.

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Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering

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4. Define - Pitching
5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.

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9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?

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13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

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41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:

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? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge

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Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.

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Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.

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1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:

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1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.
2. This jump-speed is observed for different loads on the follower.

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42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:
1. Cam profile

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Sl. No.
Angle of
rotation
(degrees)
Lift

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in mm
Displacement
in mm
Velocity
in m/s

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Acceleration
(x 10
-3
)
m/s

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2

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2. Jump-speed.

Sl. No.
Load on the

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Follower, F (N)
Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted

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in polar curve.
Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.

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Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.

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5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.

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10. Define - Trace point
11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?

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15. What do you know about monogram?
16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.

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20. What is prime circle of a cam?


Viva-voce

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44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:

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To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:

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The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.

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The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:

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Stiffness, k = load/deflection N/m
Experimental natural frequency, f
n(exp)
=1/t
p

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Hz, Where, t
p
= 2?g/ ?
Theoretical natural frequency, f
n(the)

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= 1/2?(g/ ?) Hz
Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form

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3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times

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45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:

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Load vs Deflection
Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:

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From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added

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M
(kg)
Length of the
Spring L
(mm)

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Deflection
(mm)


Stiffness

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k (N/m)

Time for 10
oscillation
T (sec)

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Time
period for
one tp
(sec)
Experimental

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natural
frequency,
f , Hz
Theoretical
natural

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frequency
f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?

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18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:

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To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is

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supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.

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Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.

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4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L

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1
.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.

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11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:

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Free vibration of a spring mass system
Sl. No.
Length
L
1 (mm)

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No. of oscillations
n
Time for n
oscillation
T (s)

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Periodic time
(Expt.) T
Natural
frequency(Expt.)

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Where,
M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency

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c.p.s
Amplitude
mm

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49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)

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Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock

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absorber.



1. What is neutral layer?

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2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance

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7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of

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geared system?
11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section

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15. Write the polar modulus for solid shaft.


Viva-voce

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50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.15 TRANSVERSE VIBRATIONS - I

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Aim:
To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses

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Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.

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Formulae used:
1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.

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2. Theoretical deflection ? = Wl3/3EI
Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2

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, I= moment of inertia in mm
4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:

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1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.

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6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:

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Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

Sl.
No.
Applied

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mass
m (kg)
Deflection
(mm)
Theoretical

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deflection
T
(mm)
Experimental
Stiffness

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k (N/mm)
Theoretical
Stiffness
k (N/mm)
Natural

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frequency f n
(Hz)


Result:

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Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.

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5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?

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10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance

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15. What are flitched beams?
16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow

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20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:

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To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:

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Defection at the center, ?
T
= Wl
3
/48EI for central concentrated load.

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Defection at the load point, ?
T
= Wa
2
b

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2
/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl

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4
/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.

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Natural frequency of transverse vibrations, f
n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2

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and
? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.

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3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

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Sl.
No.
Mass added
m , kg
Experimental

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Deflection
?, m
Theoretical
Deflection
?

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T
, m
Theoretical
Nat. freq.
f

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n
, Hz
Experimental
Stiffness
K, N/m

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Theoretical
Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency

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Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?
T
= 48EI/l
3

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for center load,
= 3EIl/a
2
b
2

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for offset load,
= 384EI/5l
3
for uniformly distributed load
Result:

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Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load

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Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section

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6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.

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11. Define - Modulus of rigidity
12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

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56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:

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To determine the torsional natural frequency of double rotor system
Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.

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2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:

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Let, L ? Length of shaft (in m)
I
A
and I
A ? MI of disc A and B respectively (in Kg-m

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2
)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm

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I
A
? (W
A
/g) x (D

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A
/8)
2
= m
A

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. D
A
/8
2
I

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B
? (W
B
/g) x (D
A

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/8)
2
+ (2W
1
/g)x(R/8)

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2
= (m
B
. D
B

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/8) + (2mR /8 )
Dia of disc A (D
A
) = m
Dia of disc B (D

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B
) = m
Weight of disc A (m
A
) = Kg

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Weight of disc B (m
B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k

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t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Time period:
T
theo

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= 2? ((I
A.
I
B
) / k

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t
(I
A
+ I
B

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)) in Sec
T
exp
= t/N in Sec
Where,

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G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)

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No. of
oscillation
s
Time
for 10

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oscillations
Time
for 1
oscillation
MMI of disc A

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(I
A
) Kg-m
2

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MMI of disc B
(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I

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A
= Kg ? m
2

2. Moment of Inertial of I

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B
= Kg ? m
2

3. Theoretical Frequency = Hz

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4. Experimental Frequency = Hz
Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:

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The torsional natural frequency of the double rotor system concept is used in designing of aircraft.


58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft

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4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.

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12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity

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17. State the elastic constants.
18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:

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Shaft set up
Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although

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the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:

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f n = K?(EgI/wl4) and N= f n X 60
Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m

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L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.

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3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia

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60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

2. Weight of solid shaft
3. Natural frequency
4. Critical speed

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Result:
Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions

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Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude

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6. What is longitudinal vibration?
7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.

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11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?

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16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?
Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.19 BALANCING OF ROTATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:
Rotor system, weights, steel rule, etc?

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple

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polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:

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The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.

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4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?

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9. Define - Tractive force
10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?

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14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

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64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc

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Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon

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3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:

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Sl. No.
Planes of
mass
Mass m,
kg

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Radius r,
m
C. Force /
?
2

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mr,
kg-m
Distance from
Ref. Plane l,
m

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Couple / ?
2
mrl,
kg-m
2

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1
2
3
4

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A
B
C
D

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Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and

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couple polygon.
Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
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of the force polygon
Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing

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5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.

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10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force

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15. Define - Swaying couple
16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.

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20. Why cranks of a locomotive are generally at right angles to one another?


Viva-voce

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66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:

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To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement

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2. Frequency Vs Velocity
3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.

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3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.
5. Vary the input and note down the observations.

Tabulation:

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Sl.No. Frequency in Hz
Displacement X
200 ?
Velocity X 200

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mm/s
Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.

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Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis

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Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.

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1. When involutes interference occurs?
2. Define - Cycloid
3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch

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6. What is meant by angle of dwell?
7. What is meant by contact ratio?
8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system

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11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?

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16. Define - Coefficient of sensitiveness
17. Explain controlling force?
18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force

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Viva-voce

68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

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Aim:
To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer

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Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball
crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.

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Formula:
F
c 1
= m ? 1
2

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r
1
(N) and F

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c 2
= m ? 2
2

r 2 (N)

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?
1
= 2?N
1
/60 rad/s and ?

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2
=2?N
2
/60 rad/s
S

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1
= 2Fc
1
(x/y) N and S
2

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=2Fc
2
(x/y) N
r
2

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= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N
1
-N
2

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)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2
Spring stiffness = (S
1
-S

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2
)/R N/mm
Where, m= mass of the ball is (m=0.18 kg)
?
1

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& ?
2
= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r

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1
& r
2
= maximum and minimum radius of rotation
Fc

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1
& Fc
2
=centrifugal forces at ?
1

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and ?
2
in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m

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S
1
& S
2
= spring forces at ?

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1
& ?
2
in N
Procedure:

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1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed
and immediately control the speed of the governor
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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

Sl.
No.

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Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)
Min Max mean

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X=______ , Y=______ , r
1
= r
Graph:
1. Mean speed Vs. Sensitivity

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2. Mean speed Vs. Effort
Result:
Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the

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spring using Hartnell governor which is used in diesel engines.
Application:
The hartnell governor is used in stationary steam engines, traction engines

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70 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the function of governor?
2. How governors are classified?
3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?

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5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness
7. What is meant by hunting?
8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor

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10. What is the principle of working of centrifugal governor?
11. Define - Power of governor
12. Explain the term stability of governor.
13. Explain sensitiveness of governors.
14. Explain governor effect.

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15. What is the principle of inertia governors?
16. What is equilibrium speed?
17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.

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20. When is a governor said to be stable?

Viva-voce

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71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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72 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.23 STUDY OF VIBRATION
Aim:

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To study the vibration, causes and its characteristics
Vibration:
Vibration is simply the motion of a machine of machine part back and forth from its position of
rest. The simplest way to show vibration is to follow the motion of a weight suspended on the end
of a spring. This is typical of all machines since they too have weight and spring like property.

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Vibration of the response of a system to some internal or external or force applied to the system.
Causes of vibrations:
The most common problems that produce vibration are,
1. Unbalance of rotating parts
2. Misalignment of couplings and bearings

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3. Bent shaft
4. Worn eccentric or damaged gears
5. Bad drive belts and drive chains
6. Bad bearings
7. Torque variations

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8. Electromagnetic force
9. Aerodynamic forces
10. Hydraulic forces
11. Looseness
12. Rubbing

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13. Resonance
The characteristics of vibration:
A machine?s condition and mechanical problems are determined by measuring its vibration
characteristics. The more important of these characteristics include,
1. Frequency

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2. Displacement
3. Velocity
4. Acceleration

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5. Phase
6. Spike energy
Vibration frequency:
Vibration frequency is the measure of the number of complete cycle that occurs in a

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specified period of time. Frequency is related to the period of a vibration pattern by this simple
formula,
Frequency =
1

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Time period
Vibration displacement:
The total distance travelled by the vibrating part from one extreme limit of travel to the other
extreme limit of travel to the other extreme limit of travel is referred to as the ?peak to peak
displacement?. The peak to peak displacement is expressed in micro meter.

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Vibration velocity:
Since the vibration weight is moving, it must be moving at some speed. However the speed of
the weight is constantly changing. The speed of velocity is greatest as the weight passes the
neutral position and zero at extreme ends. For measurement highest peak velocity is taken and
unit is millimeter.

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Vibration acceleration:
As the velocity changes there is change in acceleration. The acceleration of the part is
maximum at the extreme limit and zero when it passes neutral position. Vibration acceleration is
normally expressed in ?g?s? peak, where one ?g? is the acceleration produced by the force
of gravity at the surface of the earth i.e. 9.81 m/s

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2
.
Vibration phase:
Another important characteristic of vibration is phase. Phase is defined as the position of
vibrating part at a given instance with reference to a fixed point or another vibrating part. In a

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practical sense, phase measurements offer a convenient way to compare one vibration motion
with another; or to determine how one part is vibrating relative to another part.
Vibration spike energy:
Spike energy measurements include very short duration, high frequency, spike like

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74 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

pluses of vibration energy that occur in machinery as a result of,
1. Surface flows in rolling elements of bearings or gears.
2. Rubs, impact and metal to metal contact in rotating machine.

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3. High pressure steam or air leaks.
4. Cavitation of flow turbulence in fluids.
Spike energy measurement has its own unique units of measurement. Although spike energy
measurements are basically a measure of vibration acceleration. For this reason spike energy
measurements are expressed in ?g-SE? units.

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Vibration analysis data acquisition:
Vibration analysis is a 2 step process involving the acquisition and interpretation of machinery
vibration data. Its purpose is to determine the mechanical condition of a machine and pinpoint any
specific mechanical or operational defects.
Digital stroboscope:

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Digital stroboscope is a microprocessor circuit design. High accuracy, digital readout, light duty. It
is ideal for inspecting and measuring the speed of moving gears, fan centrifuges, pump, motors
and other equipment used in general industrial maintenance, production, quality control.
This stroboscope employs an exclusive chip of microcomputer LSI circuit & crystal control time
base which results in accuracy over a wide dynamic range.

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Result:
Thus the study of vibration, causes and its characteristics was studied.
Outcome:
From this experiment, students will be able to demonstrate the vibration, causes and its
characteristics

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Application:
The vibration concept comes in designing of every mechanical equipment like lathe, drilling, tool
box, gear box.

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75 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration

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3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?

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8. Define - Steady state vibration
9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.

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13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.

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Viva-voce

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76 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Expt. No.24 STROBOSCOPE
Aim:

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To study of speed measurement by using stroboscope
Apparatus required:
Digital stroboscope, variable speed motor variable motor, speed control
Tabulation:
Observation Table:

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Sl. No.
Variable speed motor
Controller
(in Volts)
Stroboscope reading

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(in RPM)
Contact Tachometer
(in RPM)

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Graph:
1. Variable speed motor controller (rpm) Vs stroboscope reading (rpm)
2. Stroboscope reading (rpm) Vs non-contact type tachometer (rpm)
Procedure:
3. Preparation of the Set Up:

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a. Plug unit into a properly power source.
b. Turn the power switch to ?ON? position.
c. Determine the range switch to ?low? or ?high? position.
3. Checking speed:
When checking speed, care must be taken to ensure that stroboscope is flashing in unison

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with the object being monitored. A stroboscope will also stop motion at 2:1,3:1, 4:1 etc.; this is
normally referred to as harmonics. To be sure of unison, turn the dia., until 2 images appears
this is the actual speed.

77 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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4. Connect the motor cable in to motor controller
5. Keep variable knob to zero volts.
6. Plug into 230V A.C. power supply.
7. Keep required speed.

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8. Note down the reading in tabular column.
9. Make a graph.
Result:
Thus the study of speed measurement by using stroboscope was conducted.
Outcome:

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From this experiment, students will be able to demonstrate speed measurement by using
stroboscope
Application:
1. Stroboscopes play an important role in the study of stresses on machinery in motion.
2. They are used to measuring instruments for determining cyclic speed.

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3. In medicine, stroboscopes are used to view the vocal cords for diagnosis of conditions that
have produced dysphonia (hoarseness)

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FirstRanker.com - FirstRanker's Choice
1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING

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ME 6511 ? DYNAMICS LABORATORY
V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________

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Section : _______________________________________

LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and

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training.

? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels

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? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on
heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber

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To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on
experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION

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VISION

MISSION
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PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)
1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence

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To provide students with sound knowledge in engineering and experimental skills to identify
complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to

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design products requiring interdisciplinary skills
4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies

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5. Life-long learning
To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)

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On completion of the B.E. (Mechanical) degree, the graduate will be able
1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications

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4. To understand a complex real world problem and develop an efficient practical solution
5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability

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8. To communicate effectively and make others understand exactly what they are trying to tell in
both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills

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11. To develop and manage projects in multidisciplinary environments

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6 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

ME6511 ? DYNAMICS LABORATORY

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SYLLABUS


1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing

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LIST OF EXPERIMENTS:
1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating

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cylinder mechanisms.
b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound

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pendulum.
4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon

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7. a. Single degree of freedom spring mass system ? determination of natural frequency
and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.

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b. Vibration absorber ? Tuned vibration absorber.
9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses

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12. a. Transverse vibration of free-free beam ? with and without concentrated masses.
b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.

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1. Ability to demonstrate the principles of kinematics and dynamics of machinery
2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.

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1. Study of Gear parameters 06
2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear

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16
4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27

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8. Determination of Mass Moment of Inertia using Turn Table 29
9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39

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13. Free vibration of Spring mass system 42
14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54

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18. Determination of Whirling of shaft 57
19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration

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analysis
63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69

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24. Stroboscope 73
25. List of Projects 76

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter

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Apparatus required:
Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit

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the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding
motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:

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The different kinds of gears are:
1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s

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2. Based on the position of axes of revolution
a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear

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b) Double Helical Gear (or) Herringbone Gear
b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear

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c) Zerol bevel gear
d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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iii. Miter gear
c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear

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c) Double-throated worm gear
ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear

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b. External gear
c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth

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c. Gears with inclined teeth
1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large

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gear reductions.
Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
11 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.

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? Face width: Width of the tooth is known as face width.
? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.

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? Pitch point: When the two gears are in contact, the common point of both of pitch circle of
meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known

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as addendum.
? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.

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? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.
This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular

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pitch.
? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.

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12 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.

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? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the
distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is

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known as tooth thickness.
? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.

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? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth
are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of

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engagement is known as arc of contact.
? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.

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2. Helical Gear:
The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.

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Fig. Helical Gear Fig. Bevel Gear

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3. Bevel Gear:
Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are

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in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back
cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is

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determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears
have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:

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Screw gears, also sometimes called crossed helical gears, are helical gears used in motion
transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of

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narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that
ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

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Result:
Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.

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15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.

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2. They are popular for automatic transmission in automobiles.
3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle

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2. Define ? Pitch point
3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?

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8. Define ? Cycloid
9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.

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13. What is an angle of obliquity in gears?
14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference

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18. Define ? Backlash
19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

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16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF

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SPUR GEAR TRAIN

Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:

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Spur gear train, digital speed indicator, speed transformer
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1
x 100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.

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Input Speed in
rpm
(N
1
)

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Output Speed in
rpm
(N
2
)

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Total reduction in
Speed (N)

Speed Ratio
(N

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1
/N
2
)

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Result:
Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.

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17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?

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4. What is reverted gear train?
5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.

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9. What is the externally applied torque used to keep the gear train in equilibrium?
10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?

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14. Where will the interference occur in an involute pinion and gear mesh having same size of
addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.

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18. What are the advantages of planetary gear train?
19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1

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? N
2
) / N
1 x
100 in %

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Where,
N
1
= Input Speed in rpm
N

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2
= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.

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Tabulation:

Sl. No.
Input Speed in
rpm (N

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1
)
Output Speed in
rpm (N
2

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)
Total reduction in
Speed (N)

Speed

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Ratio
(N
1
/N
2

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)

Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:

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From this experiment, students will be able to conduct the experimental study of speed ratio of an
Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,
pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?

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2. What is meant by an idle gear?
3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.

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3. Define pressure angle and explain the effect of different pressure angles.
4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.

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8. How to change the direction of rotation of the output gear in simple gear train without changing the
direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.

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12. Briefly write about reverted gear train with suitable sketch.
13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?

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Viva-voce

20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR

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TRAIN
Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer

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Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.

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4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in

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Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %
Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm

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2. Speed ratio
Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in

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Speed (N)
Speed Ratio
Right
Wheel
(N

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1
)
Left
Wheel
(N

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2
)
Right
Wheel
(N

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1)

Left
Wheel
(N

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2)

Right
Wheel
N

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R

Left
Wheel
N

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L


21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graph:
Input Speed Vs Output Speed (for N
R
and N
L

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)
Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of

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differential gear train which is used in differential unit.
Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?

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4. What is meant by initial tension in belts?
5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?

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9. What is meant by slope of a thread?
10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?

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14. What is the condition and expression for maximum efficiency in spiral gear?
15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER

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Aim:
To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer

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Procedure:
1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.

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4. Note down the number of revolution of energy meter and time taken for the same.
Formulae Used:
Torque = (W
1
? W

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2
) x 9.81 x r N-m
Effective radius (r) = r
r
+ r

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d
Where,
W
1
and W

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2
= Spring balance weight in Kg
r
d
and r

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r
= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW

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Output Power = 2?NT/ 60 in KW
Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Result:
Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.

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Application:
The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed

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in rpm
(N
2
)
Input

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Speed
in rpm
(N
1
)

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Spring
balance
weight
No. of
revolutions

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in
wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

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Output
Power
(KW)

Input

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Power
(KW)

Transmission
Efficiency

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(?%)
W
1
(Kg)
W

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2
(Kg)

24 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?

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4. What are single ? enveloping and double - enveloping worm drives?
5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.

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9. Why phosphor bronze is widely used for worm gears?
10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?

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14. In worm gearing heat removal is an important design requirement. Why?
15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?

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19. What is a speed reducer?
20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR
MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms

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Apparatus Required:
Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms

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3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms
4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a

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planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be
continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of

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one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of
mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain

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26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and

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versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by
four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed

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? Link opposite to Shortest Link fixed
Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.

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2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to
connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its

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inversions. A slider ?crank chain has the following inversions:-
1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.

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3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)
? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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fourth inversion is obtained.
Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same

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kind are adjacent is known as a double-slider-crank chain. The following are its inversions:
1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:

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1. In reciprocating engine.
2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.

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6. In scotch yoke.
Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:

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From this experiment, students will be able to study inversions of four bar mechanisms, single
& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:

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1. The four bar chain mechanism is used in deep boring machines and locomotives.
2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?

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2. What is meant by spatial mechanism?
3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?

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7. What are the important applications of single slider crank mechanism?
8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.

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12. Define ? Transmission angle
13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?

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17. Define ? Sliding pair
18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor

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Description:
Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:

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1. Rotate the driving shaft to some angle and note down the angle for the same that as shown
in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.

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Tabulation:
Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)

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Degrees


Result:
Thus the kinematics of Universal Joint was studied successfully.

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Outcome:
From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism

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4. Define - Double slider crank mechanism
5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?

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9. What is meant by Ackermann steering?
10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?

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14. State the kutzback criterion.
15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.

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19. Explain normal component of acceleration.
20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod

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Procedure:
1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.

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3. Give the twist to the flywheel and on release measure time for 10 oscillations.
4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F

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n
) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)

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2
x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10

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10

(in N/m
2
) (From PSG Data Book)

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Tabulation:
Diameter of the brass rod = (m)

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Result:
Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10

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oscillations
in (Sec)

Time Period
T in

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(Sec)

Frequency (Hz)

Mass Moment of

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Inertia
Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:

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The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,
assembly and NDT.


1. Define ? Static force analysis

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2. Define ? D Alembert?s principle
3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus

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7. Define ? Parallel axis theorem
8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort

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12. Define ? Inertia torque
13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed

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17. What is meant by maximum fluctuation of speed?
18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

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Viva-voce

33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING

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BIFILAR SUSPENSION
Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread

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Formula used:
Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)

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Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)
Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:

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1. Select the bifilar plate.
2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.

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6. Repeat the experiment by adding weights and also by changing the length of the strings.
7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:

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Type of suspension = bifilar suspension
Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b

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2
= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:

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From this experiment, students will be able to determine the radius of gyration of a given
rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of

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string
L (m)

Time taken
for ?N? osc.

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T(Sec)
Time taken for
one osc.
(t) Sec
Natural

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frequency F
n
(Hz)
Radius of
gyration (k)

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(mm)


35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?

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4. What is meant by indexing mechanism?
5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?

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10. What is the toggle position?
11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance

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15. Define - Steady state and transient vibrations
16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement

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20. What is meant by dynamic magnifier?
21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:

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To determine the radius of gyration, mass moment of inertia and the natural frequency of
the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:

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Experimental Time period (T
exp
) = t/N (in Sec)
Theoretical time period (T
theo

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) = 2? ((K
2
+ h
1
2

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)/gh
1
)
Experimental radius of gyration (K
exp

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) = h/?12 (in m)
Theoretical radius of gyration (K
theo
) = ? ((gh
1

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T
2
/4?
2
)- h

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1
2
) (in m)
Where, h
1

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= distance from point of suspension to centre of gravity of rod
h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp

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(Hz)
(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk

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2
in kg-m
2

Equivalent Length of pendulum (l) = (K

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2
+ h
2
)/h in m
Procedure:

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1. Suspend the rod through any one of the holes.
2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

Sl.
No.
Height

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h
1
(m)
Time for 10
oscillations

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t (Sec)
Time for a
oscillation T
(Sec)
Natural frequency

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Fn (Hz)
Experimental
radius of
gyration K (m)
Moment

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of inertia
I
(m)
Equivalent
Length of

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pendulum
l
(m)
Exp
Fn

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(exp)

Theo
Fn
(theo)

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Exp
K
exp

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Theo
K
theo

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Mean

Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)

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2. Mass Moment of Inertia = (in m)
3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:

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From this experiment, students will be able to determine the radius of gyration, mass moment
of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation

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5. What are the isolating materials?
6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.

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10. What are the methods of isolating the vibration?
11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?

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15. Define - Continuous beam
16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?

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20. What is the difference between deterministic and random vibration?


Viva-voce

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39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF

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GYROSCOPIC EFFECT AND COUPLE
Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc

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with a light reflecting sticker for stroboscope speed measurement
Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.

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3. A weight /mass is added on the extending platform attached to the disc.
4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.

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Formula used:
Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec

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Theoretical Velocity of precession (? p) = C/I ? rad/sec
Tabulation:
Sl.
No.
Speed

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of disc,
N
rpm
Applied
Load m,

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kg
Angle of
precision
in
Degrees

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Time
taken t,
sec
Observed
direction of

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displacement
Angular
Velocity
(rad/s)
Torque

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(N - m)
Observed
Velocity
m/sec
Theoretical

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Velocity
m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were

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conducted.
Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:

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1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space
vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching

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5. Define - Rolling
6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.

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10. How automatic controls are classified?
11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?

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14. What is meant by applied torque and reaction torque?
15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the

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displacement diagram for the follower and the cam profile
? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:

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Cam is a machine element such as a cylinder or any other solid with a surface of contact so
designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:

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Displacement diagram and also the cam profile are drawn using a polar graph chart. The
Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod

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2. Rotate the can through 10? and note down the projected length of the pull rod above
the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps

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off is observed.
2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.

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Angle of
rotation
(degrees)
Lift
in mm

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Displacement
in mm
Velocity
in m/s
Acceleration

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(x 10
-3
)
m/s
2

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2. Jump-speed.

Sl. No.
Load on the
Follower, F (N)

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Jump-speed
N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.

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Outcome:
From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:

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The cam mechanism is used in Internal combustion engine for operating rocker arm.
43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is a cam?
2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?

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6. Compare roller and mushroom follower be minimized?
7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point

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11. Define - Pressure angle with respect to cams
12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?

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16. State the advantages of tangent cam.
17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring

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mass system
Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either

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damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a
trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force

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during the study of forced vibration experiment. The experiment consists of two freely rotating
unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m

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Experimental natural frequency, f
n(exp)
=1/t
p
Hz, Where, t

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p
= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz

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Procedure:
Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form

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4. Add the weight and observe the change in deflection
5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection

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Load vs Theoretical natural frequency
Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:
Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural

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frequency of an open coil helical spring mass system which is used in suspension systems.
Application:
The spring mass system concept is used to designing the helical spring.

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Sl
no
Mass
added
M

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(kg)
Length of the
Spring L
(mm)
Deflection

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(mm)


Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time

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period for
one tp
(sec)
Experimental
natural

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frequency,
f , Hz
Theoretical
natural
frequency

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f Hz Initial Final Initial Final


46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?

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4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration

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9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?

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14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?

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19. What is the difference between viscous damping and coulomb damping?
20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.14
UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system

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Description of set up:
The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.

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The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor
can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:

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1. Support one end of the beam in the slot turn union and clamp it by means of screw.
2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp

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the assembly at any convenient position.
5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1

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.
8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust

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the position of strip-chart recorder.
12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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14. Avoid excess pressure to get good record.
15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system

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Sl. No.
Length
L
1 (mm)
No. of oscillations

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n
Time for n
oscillation
T (s)
Periodic time

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(Expt.) T
Natural
frequency(Expt.)

Where,

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M = Mass of excited assembly. (Kg)
L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

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Sl. No.
Speed
rpm
Forcing frequency
c.p.s

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Amplitude
mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:

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From this experiment, students will be able to demonstrate the undamped natural and forced vibration
of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?

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3. What is section modulus?
4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?

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8. Sate natural frequency of torsional vibration of a simple system.
9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?

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11. Define ? Torsion
12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:

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To find the natural frequency of transverse vibration of the cantilever beam with
concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:

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Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other
end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:

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1. Natural frequency = 1/2?(g/?) Hz
Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI

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Where,
W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm

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4
= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.

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2. Plug the main cord to 230v/ 50 Hz supply.
3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.

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7. Apply the load gradually in grams.
8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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1. Draw the characteristics curves of load vs. displacement, natural frequency.
2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass

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m (kg)
Deflection
(mm)
Theoretical
deflection

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T
(mm)
Experimental
Stiffness
k (N/mm)

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Theoretical
Stiffness
k (N/mm)
Natural
frequency f n

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(Hz)


Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the

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frequency is _________ (in Hz) and the characteristic graphs are plotted.
Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:

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The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Write down any four types of beams.
2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.

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6. What does the area under shear force diagram give?
7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?

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11. What is section modulus?
12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?

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16. What is meant by shear centre?
17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.16 TRANSVERSE VIBRATIONS - II


Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset

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concentrated load
Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?

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T
= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?

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T
= Wa
2
b
2

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/3EI for offset concentrated load.
Defection at the center, ?
T
= 5wl
4

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/384EI for uniformly distributed load.
I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f

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n
= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and

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? = deflection in m
Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.

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Observations: b =_____________, d =____________, l =___________, E =_____________

Tabulation:

Sl.

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No.
Mass added
m , kg
Experimental
Deflection

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?, m
Theoretical
Deflection
?
T

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, m
Theoretical
Nat. freq.
f
n

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, Hz
Experimental
Stiffness
K, N/m
Theoretical

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Stiffness
K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Graphs:
1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm

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Stiffness theoretical, K = W/ ?
T
= 48EI/l
3
for center load,

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= 3EIl/a
2
b
2
for offset load,

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= 384EI/5l
3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is

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experimentally studied and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:

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The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation
crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.

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2. Express the strength of a solid shaft.
3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.

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7. Write the polar modulus for a hollow shaft.
8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity

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12. State the elastic constants.
13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system

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Apparatus Required:
Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.

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3. Note down the time for 10 oscillations.
4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)

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I
A
and I
A ? MI of disc A and B respectively (in Kg-m
2

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)
D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I

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A
? (W
A
/g) x (D
A

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/8)
2
= m
A
. D

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A
/8
2
I
B

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? (W
B
/g) x (D
A
/8)

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2
+ (2W
1
/g)x(R/8)
2

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= (m
B
. D
B
/8) + (2mR /8 )

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Dia of disc A (D
A
) = m
Dia of disc B (D
B

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) = m
Weight of disc A (m
A
) = Kg
Weight of disc B (m

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B
) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t

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) = G.Ip/L



57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I

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A.
I
B
) / k
t

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(I
A
+ I
B
)) in Sec

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T
exp
= t/N in Sec
Where,
G ? Modulus of rigidity

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Ip ? Polar MI of shaft = (?d
4
/32) in m
Tabulation:

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Sl.
No.
Load
(Kg)
No. of

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oscillation
s
Time
for 10
oscillations

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Time
for 1
oscillation
MMI of disc A
(I

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A
) Kg-m
2

MMI of disc B

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(I
B
) Kg-m
2

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Experimental
Frequency
Hz

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Result:
Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A

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= Kg ? m
2

2. Moment of Inertial of I
B

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= Kg ? m
2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz

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Outcome:
From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.

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5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional
vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion

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8. Write the polar moment of inertia of a solid circular shaft.
9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.

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13. Express the strength of a solid shaft.
14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.

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18. Define - Flexural rigidity
19. What is dry friction damper?
20. Mention important types of free vibrations.

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Viva-voce

59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up

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Description:
The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is

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subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts
radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60

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Where,
f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm

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K = constant (2.45)
Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously

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4. Note the speed at the digital indicates in which the deflection is more.
5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:

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Thus the critical speed of the given shaft is determined.
Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:

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The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.



1. Define - Frequency response curve

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2. What is phase response curve?
3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?

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7. What are the causes of critical speed?
8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?

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12. What is meant by harmonic forcing?
13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?

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17. Why is critical speed encountered?
Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.19 BALANCING OF ROTATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon

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62 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:

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1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.

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4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.

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Planes of
mass
Mass m,
kg
Radius r,

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m
C. Force /
?
2
mr,

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kg-m
Distance from
Ref. Plane l,
m
Couple / ?

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2
mrl,
kg-m
2

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1
2
3
4
A

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B
C
D

Diagrams:

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1 Plane of the masses 2. Angular position of the masses 3. Force polygon
4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.

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Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as

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gas turbines and electric generators.

63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?

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5. Differentiate static and dynamic balancing.
6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force

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10. Define - Swaying couple
11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?

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15. Write the different types of balancing.

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Viva-voce

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64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.20 BALANCING OF RECIPROCATING MASSES

Aim:

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To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc
Procedure:

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1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of
masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.

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4. Run the system at certain speeds and check that the balancing is done effectively.
5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.

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Planes of
mass
Mass m,
kg
Radius r,

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m
C. Force /
?
2
mr,

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kg-m
Distance from
Ref. Plane l,
m
Couple / ?

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2
mrl,
kg-m
2

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1
2
3
4
A

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B
C
D

Diagrams:

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1. Plane of the masses 2. Angular position of the masses 3. Force polygon
4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.

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Outcome:
From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

of the force polygon

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Application:
The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.

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1. What is meant by balancing of rotating masses?
2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing
5. Write the important of balancing?

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6. Why balancing of dynamic forces are necessary?
7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.

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11. Define - Dalby?s method of balancing masses
12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force
15. Define - Swaying couple

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16. What are in ? line engines?
17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?

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Viva-voce

66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:
To measure the displacement, velocity and acceleration using vibration analysis

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Apparatus required:
Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement
2. Frequency Vs Velocity

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3. Frequency Vs Acceleration
Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.

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4. Set the varying range as 100.
5. Vary the input and note down the observations.

Tabulation:

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Sl.No. Frequency in Hz
Displacement X
200 ?
Velocity X 200
mm/s

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Acceleration X
200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.
Outcome:

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From this experiment, students will be able to measure the displacement, velocity and acceleration
67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis
Application:

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The vibration analysis concept is used in service equipment, such as helicopter transmissions and
turbine engines.


1. When involutes interference occurs?

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2. Define - Cycloid
3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch
6. What is meant by angle of dwell?

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7. What is meant by contact ratio?
8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system
11. Define - Coefficient of fluctuation of energy

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12. Define - Coefficient of fluctuation of speed
13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?
16. Define - Coefficient of sensitiveness

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17. Explain controlling force?
18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force
Viva-voce

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68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

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Aim:
To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer
Description:

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Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball
crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.
Formula:

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F
c 1
= m ? 1
2

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r
1
(N) and F
c 2

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= m ? 2
2

r 2 (N)
?

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1
= 2?N
1
/60 rad/s and ?
2

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=2?N
2
/60 rad/s
S
1

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= 2Fc
1
(x/y) N and S
2
=2Fc

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2
(x/y) N
r
2
= r-R(x/y) (mm)

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Sensitivity = (maximum speed-minimum speed)/mean speed = (N
1
-N
2
)/N

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Effort = (spring force at maximum speed- spring force at minimum speed)/2
Spring stiffness = (S
1
-S
2

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)/R N/mm
Where, m= mass of the ball is (m=0.18 kg)
?
1
& ?

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2
= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r
1

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& r
2
= maximum and minimum radius of rotation
Fc
1

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& Fc
2
=centrifugal forces at ?
1
and ?

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2
in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m
S

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1
& S
2
= spring forces at ?
1

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& ?
2
in N
Procedure:
1. Keep the speed regulation in 0 position before starting the motor.

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2. Increase the regulated output gradually till the motor takes the critical speed
and immediately control the speed of the governor
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3. Maintain the speed for each and every graduation as required to take the direct reading

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Tabulation:

Sl.
No.
Speed, N (rpm)

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Sensitivity Effort (N) Stiffness (N/mm)
Min Max mean


X=______ , Y=______ , r

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1
= r
Graph:
1. Mean speed Vs. Sensitivity
2. Mean speed Vs. Effort

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Result:
Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the
spring using Hartnell governor which is used in diesel engines.

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Application:
The hartnell governor is used in stationary steam engines, traction engines

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70 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the function of governor?
2. How governors are classified?
3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?
5. What is the effect of friction on the governor?

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6. Define - Coefficient of sensitiveness
7. What is meant by hunting?
8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor
10. What is the principle of working of centrifugal governor?

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11. Define - Power of governor
12. Explain the term stability of governor.
13. Explain sensitiveness of governors.
14. Explain governor effect.
15. What is the principle of inertia governors?

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16. What is equilibrium speed?
17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.
20. When is a governor said to be stable?

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Viva-voce


71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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72 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.23 STUDY OF VIBRATION
Aim:
To study the vibration, causes and its characteristics

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Vibration:
Vibration is simply the motion of a machine of machine part back and forth from its position of
rest. The simplest way to show vibration is to follow the motion of a weight suspended on the end
of a spring. This is typical of all machines since they too have weight and spring like property.
Vibration of the response of a system to some internal or external or force applied to the system.

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Causes of vibrations:
The most common problems that produce vibration are,
1. Unbalance of rotating parts
2. Misalignment of couplings and bearings
3. Bent shaft

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4. Worn eccentric or damaged gears
5. Bad drive belts and drive chains
6. Bad bearings
7. Torque variations
8. Electromagnetic force

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9. Aerodynamic forces
10. Hydraulic forces
11. Looseness
12. Rubbing
13. Resonance

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The characteristics of vibration:
A machine?s condition and mechanical problems are determined by measuring its vibration
characteristics. The more important of these characteristics include,
1. Frequency
2. Displacement

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3. Velocity
4. Acceleration

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5. Phase
6. Spike energy
Vibration frequency:
Vibration frequency is the measure of the number of complete cycle that occurs in a
specified period of time. Frequency is related to the period of a vibration pattern by this simple

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formula,
Frequency =
1

Time period

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Vibration displacement:
The total distance travelled by the vibrating part from one extreme limit of travel to the other
extreme limit of travel to the other extreme limit of travel is referred to as the ?peak to peak
displacement?. The peak to peak displacement is expressed in micro meter.
Vibration velocity:

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Since the vibration weight is moving, it must be moving at some speed. However the speed of
the weight is constantly changing. The speed of velocity is greatest as the weight passes the
neutral position and zero at extreme ends. For measurement highest peak velocity is taken and
unit is millimeter.
Vibration acceleration:

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As the velocity changes there is change in acceleration. The acceleration of the part is
maximum at the extreme limit and zero when it passes neutral position. Vibration acceleration is
normally expressed in ?g?s? peak, where one ?g? is the acceleration produced by the force
of gravity at the surface of the earth i.e. 9.81 m/s
2

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.
Vibration phase:
Another important characteristic of vibration is phase. Phase is defined as the position of
vibrating part at a given instance with reference to a fixed point or another vibrating part. In a
practical sense, phase measurements offer a convenient way to compare one vibration motion

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with another; or to determine how one part is vibrating relative to another part.
Vibration spike energy:
Spike energy measurements include very short duration, high frequency, spike like

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pluses of vibration energy that occur in machinery as a result of,
1. Surface flows in rolling elements of bearings or gears.
2. Rubs, impact and metal to metal contact in rotating machine.
3. High pressure steam or air leaks.

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4. Cavitation of flow turbulence in fluids.
Spike energy measurement has its own unique units of measurement. Although spike energy
measurements are basically a measure of vibration acceleration. For this reason spike energy
measurements are expressed in ?g-SE? units.
Vibration analysis data acquisition:

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Vibration analysis is a 2 step process involving the acquisition and interpretation of machinery
vibration data. Its purpose is to determine the mechanical condition of a machine and pinpoint any
specific mechanical or operational defects.
Digital stroboscope:
Digital stroboscope is a microprocessor circuit design. High accuracy, digital readout, light duty. It

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is ideal for inspecting and measuring the speed of moving gears, fan centrifuges, pump, motors
and other equipment used in general industrial maintenance, production, quality control.
This stroboscope employs an exclusive chip of microcomputer LSI circuit & crystal control time
base which results in accuracy over a wide dynamic range.
Result:

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Thus the study of vibration, causes and its characteristics was studied.
Outcome:
From this experiment, students will be able to demonstrate the vibration, causes and its
characteristics
Application:

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The vibration concept comes in designing of every mechanical equipment like lathe, drilling, tool
box, gear box.

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?

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4. State different methods of finding natural frequency of a system
5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration

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9. Define - Transient vibration
10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?

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14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?
15. State the expression for the frequency of simple pendulum.

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Viva-voce


76 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.24 STROBOSCOPE
Aim:
To study of speed measurement by using stroboscope

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Apparatus required:
Digital stroboscope, variable speed motor variable motor, speed control
Tabulation:
Observation Table:
Sl. No.

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Variable speed motor
Controller
(in Volts)
Stroboscope reading
(in RPM)

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Contact Tachometer
(in RPM)


Graph:

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1. Variable speed motor controller (rpm) Vs stroboscope reading (rpm)
2. Stroboscope reading (rpm) Vs non-contact type tachometer (rpm)
Procedure:
3. Preparation of the Set Up:
a. Plug unit into a properly power source.

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b. Turn the power switch to ?ON? position.
c. Determine the range switch to ?low? or ?high? position.
3. Checking speed:
When checking speed, care must be taken to ensure that stroboscope is flashing in unison
with the object being monitored. A stroboscope will also stop motion at 2:1,3:1, 4:1 etc.; this is

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normally referred to as harmonics. To be sure of unison, turn the dia., until 2 images appears
this is the actual speed.

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4. Connect the motor cable in to motor controller
5. Keep variable knob to zero volts.
6. Plug into 230V A.C. power supply.
7. Keep required speed.
8. Note down the reading in tabular column.

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9. Make a graph.
Result:
Thus the study of speed measurement by using stroboscope was conducted.
Outcome:
From this experiment, students will be able to demonstrate speed measurement by using

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stroboscope
Application:
1. Stroboscopes play an important role in the study of stresses on machinery in motion.
2. They are used to measuring instruments for determining cyclic speed.
3. In medicine, stroboscopes are used to view the vocal cords for diagnosis of conditions that

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have produced dysphonia (hoarseness)

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4. What is step ratio?
5. What are preferred numbers?
6. What kinematic arrangement is as applied to gear boxes?

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7. What does the ray ? diagram of gear box indicates?
8. What is a speed reducer?
9. What do you understand by dynamically equivalent system?
10. What is the function of a flywheel?
11. What do you infer from the term cam dynamics?

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10. What do you understand by out ? of ? balance?
11. State conditions for the complete balancing of rotating masses.
12. How are the different masses rotating in different planes are balanced?
13. Explain reasons in detail for partial balancing of reciprocating masses.
14. What do you mean by balancing linkages?

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15. What is mean by over damping?
16. Define - Amplitude
17. Define - Free vibrations
18. What do you mean by correction couple?
19. Define - Power of a governor

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20. Define - Unbalance and spring surge
21. Why flywheels are needed in forging and pressing operations?

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Viva-voce

FirstRanker.com - FirstRanker's Choice

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1 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


Tambaram, ?

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DEPARTMENT OF
MECHANICAL ENGINEERING
ME 6511 ? DYNAMICS LABORATORY

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V SEMESTER - R 2013

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Name : _______________________________________
Register No. : _______________________________________
Section : _______________________________________

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LABORATORY MANUAL
2 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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3 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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is committed to provide highly disciplined, conscientious and
enterprising professionals conforming to global standards through value based quality education and
training.

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? To provide competent technical manpower capable of meeting requirements of the industry
? To contribute to the promotion of Academic Excellence in pursuit of Technical Education at different
levels
? To train the students to sell his brawn and brain to the highest bidder but to never put a price tag on

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heart and soul

DEPARTMENT OF MECHANICAL ENGINEERING

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Rendering the services to the global needs of engineering industries by educating students to
become professionally sound mechanical engineers of excellent caliber


To produce mechanical engineering technocrats with a perfect knowledge intellectual and hands on

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experience and to inculcate the spirit of moral values and ethics to serve the society

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VISION

MISSION
VISION

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MISSION
4 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

PROGRAMME EDUCATIONAL OBJECTIVES (PEOs)

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1. Fundamentals
To impart students with fundamental knowledge in mathematics and basic sciences that will
mould them to be successful professionals
2. Core competence
To provide students with sound knowledge in engineering and experimental skills to identify

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complex software problems in industry and to develop a practical solution for them
3. Breadth
To provide relevant training and experience to bridge the gap between theory and practice which
enable them to find solutions for the real time problems in industry and organization and to
design products requiring interdisciplinary skills

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4. Professional skills
To bestow students with adequate training and provide opportunities to work as team that will
build up their communication skills, individual, leadership and supportive qualities and to enable
them to adapt and to work in ever changing technologies
5. Life-long learning

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To develop the ability of students to establish themselves as professionals in mechanical
engineering and to create awareness about the need for lifelong learning and pursuing advanced
degrees

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PROGRAMME OUTCOMES (POs)
On completion of the B.E. (Mechanical) degree, the graduate will be able

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1. To apply the basic knowledge of mathematics, science and engineering
2. To design and conduct experiments as well as to analyze and interpret data and apply the same
in the career or entrepreneurship
3. To design and develop innovative and creative software applications
4. To understand a complex real world problem and develop an efficient practical solution

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5. To create, select and apply appropriate techniques, resources, modern engineering and IT tools
6. To understand the role as a professional and give the best to the society
7. To develop a system that will meet expected needs within realistic constraints such as
economical environmental, social, political, ethical, safety and sustainability
8. To communicate effectively and make others understand exactly what they are trying to tell in

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both verbal and written forms
9. To work in a team as a team member or a leader and make unique contributions and work with
coordination
10. To engage in lifelong learning and exhibit their technical skills
11. To develop and manage projects in multidisciplinary environments

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ME6511 ? DYNAMICS LABORATORY
SYLLABUS

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1. To supplement the principles learnt in kinematics and dynamics of machinery
2. To understand how certain measuring devices are used for dynamic testing
LIST OF EXPERIMENTS:

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1. a. Study of gear parameters.
b. Experimental study of velocity ratios of simple, compound, epicyclic and differential gear
trains.
2. a. Kinematics of four bar, slider crank, crank rocker, double crank, double rocker, oscillating
cylinder mechanisms.

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b. Kinematics of single and double universal joints.
3. a. Determination of mass moment of inertia of fly wheel and axle system.
b. Determination of mass moment of inertia of axisymmetric bodies using turn table apparatus.
c. Determination of mass moment of inertia using bifilar suspension and compound
pendulum.

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4. Motorized gyroscope ? Study of gyroscopic effect and couple.
5. Governor ? Determination of range sensitivity, effort etc., for watts, porter, proell and hartnell
governors
6. Cams ? cam profile drawing, motion curves and study of jump phenomenon
7. a. Single degree of freedom spring mass system ? determination of natural frequency

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and verification of laws of springs ? damping coefficient determination.
b. Multi degree freedom suspension system ? determination of influence coefficient.
8. a. Determination of torsional natural frequency of single and double Rotor systems.
Undamped and damped natural frequencies.
b. Vibration absorber ? Tuned vibration absorber.

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9. Vibration of equivalent spring mass system ? Undamped and damped vibration.
10. Whirling of shafts ? Determination of critical speeds of shafts with concentrated loads.
11. a. Balancing of rotating masses
b. Balancing of reciprocating masses
12. a. Transverse vibration of free-free beam ? with and without concentrated masses.

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b. Forced Vibration of cantilever beam ? mode shapes and natural frequencies.
c. Determination of transmissibility ratio using vibrating table.


1. Ability to demonstrate the principles of kinematics and dynamics of machinery

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2. Ability to use the measuring devices for dynamic testing.
COURSE OBJECTIVES

COURSE OUTCOMES
7 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ME6511 - DYNAMICS LABORATORY
CONTENTS
Sl. No. Name of the experiment Page No.
1. Study of Gear parameters 06

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2. Experimental study of speed ratio of Spur Gear 14
3.

Experimental study of speed ratio of Epicyclic Gear
16

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4. Experimental study of speed ratio of Differential Gear 18
5. Determination of transmission efficiency of a Worm gear reducer 20
6. Four Bar Mechanism 23
7. Kinematics of Universal Joint 27
8. Determination of Mass Moment of Inertia using Turn Table 29

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9. Determination of Mass Moment of Inertia using Bifilar 31
10. Determination of Mass Moment of Compound pendulum 34
11. Motorized Gyroscope ? Study of gyroscope effect and couple 37
12. To study the displacement, motion curve and jump phenomenon of Cam 39
13. Free vibration of Spring mass system 42

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14. Undamped and Damped Natural and forced frequencies 45
15. Transverse vibration ? I 48
16. Transverse vibration ? II 51
17. Determination of Torsional natural frequency of Two rotor system 54
18. Determination of Whirling of shaft 57

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19. Balancing of Rotating masses 59
20. Balancing of Reciprocating masses 61
21.
Measurement of displacement, velocity and Acceleration using vibration
analysis

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63
22. Hartnell Governer 65
EXPERIMENTS BEYOND SYLLABUS
23. Study of Vibration 69
24. Stroboscope 73

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25. List of Projects 76



8 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.01 STUDY OF GEARS
Aim:
To study the various types of gears and its parameter
Apparatus required:

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Arrangement of gear system
Introduction:
Gears are used to transmit motion from one shaft to another or between a shaft. This is
accomplished by successful engaging of tooth. Gears are intermediate links or connections and transmit
the motion by direct contact. In this method the surface of two bodies have either a rolling or sliding

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motion along the tangent at the point of contact to transmit the definite motion of one disc to another or
to prevent slip between the surface projection and recession on two discs can be made which can mesh
with each other. The discs with teeth are known as gears or gear wheel.
Classification of gear:
The different kinds of gears are:

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1. Based on the peripheral velocity of gears
a. Low velocity gears ? Gears with peripheral velocity < 3 m/s
b. Medium velocity gears ? Gears with peripheral velocity = 3-15 m/s
c. High velocity gears ? Gears with peripheral velocity > 15 m/s
2. Based on the position of axes of revolution

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a. Gears with parallel axes
i. Spur gear
ii. Helical Gear
a) Single Helical Gear
b) Double Helical Gear (or) Herringbone Gear

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b. Gears with intersecting axes
i. Bevel Gear
a) Straight bevel gear
b) Spiral bevel gear
c) Zerol bevel gear

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d) Hypoid bevel gear
ii. Angular gear
9 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

iii. Miter gear

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c. Gears with non-parallel and non-intersecting axes
i. Worm gear
a) Non-throated worm gear
b) Single-throated worm gear
c) Double-throated worm gear

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ii. Hypoid gear
iii. Screw gear (or crossed helical gear)
3. Based on the type of gearing
a. Internal gear
b. External gear

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c. Rack and Pinion
4. Based on the tooth profile on the gear surface
a. Gears with straight teeth
b. Gears with curved teeth
c. Gears with inclined teeth

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1. Spur Gear:
Spur gears have straight teeth parallel to the rotating axis and thus are not subjected to axial
thrust due to teeth load. Spur gears are the most common type of gears. They have straight teeth, and
are mounted on parallel shafts. Sometimes, many spur gears are used at once to create very large
gear reductions.

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Each time a gear tooth engages a tooth on the other gear, the teeth collide, and this impact makes a
noise. It also increases the stress on the gear teeth. Spur gears are the most commonly used gear
type. They are characterized by teeth, which are perpendicular to the face of the gear. Spur gears are
most commonly available, and are generally the least expensive.

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Fig. External spur gear Fig. Internal spur gear
10 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Spur Gear Terminology:

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Fig. Spur Gear Terminology
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The following terms, which are mostly used to describe a gear, are as follow:
? Face of tooth: It is defined as the surface of the tooth above the pitch circle is known as face.
? Flank of tooth: The surface of the tooth below the pitch circle is known as flank.
? Top land: The top most surface of the tooth is known as the top land of the tooth.
? Face width: Width of the tooth is known as face width.

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? Pitch Circle: It is an imaginary circle which is in pure rolling action. The motion of the gear is
describe by the pitch circle motion.
? Pitch Circle diameter: The diameter of the pitch circle from the center of the gear is known as
pitch circle diameter. The gear diameter is described by its pitch circle diameter.
? Pitch point: When the two gears are in contact, the common point of both of pitch circle of

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meshing gears is known as pitch point.
? Pressure angle or angle of obliquity: Pressure angle is the angle between common normal to the
pitch circle to the common tangent to the pitch point.
? Addendum: Distance between the pitch circle to the top of the tooth in radial direction is known
as addendum.

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? Dedendum: Distance between the pitch circle to the bottom of the tooth in radial direction, is
known as dedendum of the gear.
? Addendum circle: The circle passes from the top of the tooth is known as addendum circle. This
circle is concentric with pitch circle.
? Dedendum circle: The circle passes from the bottom of the tooth is known as dedendum circle.

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This circle is also concentric with pitch circle and addendum circle.
? Circular pitch: The distance between a point of a tooth to the same point of the adjacent tooth,
measured along circumference of the pitch circle is known as circular pitch. It is plays measure
role in gear meshing. Two gears will mesh together correctly if and only they have same circular
pitch.

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? Diametrical pitch: The ratio of the number of teeth to the diameter of pitch circle in millimeter is
known as diametrical pitch.
? Module: The ratio of the pitch circle diameter in millimeters to the total number of teeth is known
as module. It is reciprocal of the diametrical pitch.
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? Clearance: When two gears are in meshing condition, the radial distance from top of a tooth of
one gear to the bottom of the tooth of another gear is known as clearance. The circle passes
from the top of the tooth in meshing condition is known as clearance angle.
? Total depth: The sum of the addendum and dedendum of a gear is known as total depth. It is the

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distance between addendum circle to the dedendum circle measure along radial direction.
? Working depth: The distance between addendum circle to the clearance circle measured along
radial direction is known as working depth of the gear.
? Tooth thickness: Distance of the tooth measured along the circumference of the pitch circle is
known as tooth thickness.

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? Tooth space: Distance between the two adjacent tooth measured along the circumference of the
pitch circle is known as the tooth space.
? Backlash: It is the difference between the tooth thickness and the tooth space. It prevents
jamming of the gears in meshing condition.
? Profile: It is the curved formed by the face and flank is known as profile of the tooth. Gear tooth

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are generally have cycloidal or involute profile.
? Path of contact: The curved traced by the point of contact of two teeth form beginning to the end
of engagement is known as path of contact.
? Arc of contact: It is the curve traced by the pitch point form the beginning to the end of
engagement is known as arc of contact.

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? Arc of approach: The portion of the path of contact from beginning of engagement to the pitch
point is known as arc of approach.
? Arc of recess: The portion of the path of contact form pitch point to the end of the engagement is
known as arc of recess.
2. Helical Gear:

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The helical gear is used to connect two parallel shafts and teeth inclined or unused to the axis of the
shafts. The leading edges of the teeth are not parallel to the axis of rotation, but are set at an angle.
Since the gear is curved, this angling causes the tooth shape to be a segment of a helix. Helical gears
can be meshed in a parallel or crossed orientations.
13 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Fig. Helical Gear Fig. Bevel Gear
3. Bevel Gear:

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Bevel gears transmit power between two intersecting shafts at any angle or between non- intersecting
shafts. They are classified as straight and spiral tooth bevel and hypoid gears. When intersecting shafts
are connected by gears, the pitch cones (analogous to the pitch cylinders of spur and helical gears) are
tangent along an element, with their apexes at the intersection of the shafts where two bevel gears are
in mesh. The size and shape of the teeth are defined at the large end, where they intersect the back

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cones. Pitch cone and back cone elements are perpendicular to each other. The tooth profiles resemble
those of spur gears having pitch radii equal to the developed back cone radii.
4. Worm Gear:
Worm gears are usually used when large speed reductions are needed. The reduction ratio is
determined by the number of starts of the worm and number of teeth on the worm gear. But worm gears

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have sliding contact which is quiet but tends to produce heat and have relatively low transmission
efficiency.
The applications for worm gears include gear boxes, fishing pole reels, guitar string tuning pegs, and
where a delicate speed adjustment by utilizing a large speed reduction is needed.

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Fig. Worm and worm wheel Fig. Screw gear Fig. Miter gear
14 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

5. Screw gears:
Screw gears, also sometimes called crossed helical gears, are helical gears used in motion

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transmission between non-intersecting shafts. The helical gears used in parallel shafts have the same
helix angle but in the opposite directions.
6. Miter gears:
Miter gears are one type of bevel gears where the two rotational axes intersect. When speaking of
narrow definition of bevel gears with ability to increase or decrease speed, miter gears do not have that

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ability due to the pair?s same number of teeth. Their purpose is limited to the change in transmission
direction. Because they are a type of bevel gears, the basic characteristic of bevel gears exist such as
presence of gear forms of straight cut, spiral cut and zerol types.

Result:

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Thus gear, types and its parameters were studied.
Outcome:
From this experiment, students will be able to demonstrate the principles of gear, types and its
parameters which is used in transmission systems.
15 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
1. They are used in back gear of the lathe, hoists, pulley blocks, clock, wrist watches and precision
equipment.
2. They are popular for automatic transmission in automobiles.

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3. They are used for power train between internal combustion engine and an electric motor.
4. They are also used in speed drives in textile and Jute machineries.

1. Define ? Pitch circle
2. Define ? Pitch point

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3. Define ? Circular pitch
4. Define ? Module
5. Define ? Backlash
7. What is axial of a helical gear?
8. Define ? Cycloid

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9. Define ? Undercutting gear
10. What is meant by contact ratio?
11. Define ? Gear tooth system
12. State law of gearing.
13. What is an angle of obliquity in gears?

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14. What is bevel gearing? Mention its types.
15. What are the methods to avoid interference?
16. What do you know about tumbler gear?
17. Define ? Interference
18. Define ? Backlash

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19. What is meant by non ? standard gear teeth?
20. Define ? Cycloidal tooth profile
Viva-voce

16 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.02

EXPERIMENTAL STUDY OF THE SPEED RATIO OF
SPUR GEAR TRAIN

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Aim:
To conduct the experimental study of speed ratio of spur gear train
Apparatus required:
Spur gear train, digital speed indicator, speed transformer

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Formulae Used:
1. Total reduction in speed (N) = (N
1
? N
2

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) / N
1
x 100 in %
Where,
N

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1
= Input Speed in rpm
N
2
= Output Speed in rpm

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2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
1. Input Speed Vs Output Speed.
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front
panel of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Tabulation:

Sl. No.
Input Speed in

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rpm
(N
1
)
Output Speed in

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rpm
(N
2
)
Total reduction in

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Speed (N)

Speed Ratio
(N
1

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/N
2
)

Result:

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Thus the speed ratio of a spur gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of spur
gear train which is used in transmission systems.
17 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The spur gear trains are used in electric screw driver, windup alarm clock, washing machine and
clothes dryer.

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1. What is a simple gear train?
2. What are the types of gear trains?
3. What is a compound gear train?
4. What is reverted gear train?

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5. What is an epicyclic or planetary gear train?
6. What is gear train or train of wheels?
7. Write velocity ratio in compound train of wheels?
8. State the methods to find the velocity ratio of epicyclic gear train.
9. What is the externally applied torque used to keep the gear train in equilibrium?

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10. What is the maximum efficiency in worm and worm gear?
11. What are the advantage and limitations of gear train?
12. What is the condition and expression for maximum efficiency in spiral gears?
13. What is meant by slope of a thread?
14. Where will the interference occur in an involute pinion and gear mesh having same size of

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addendum?
15. What is the advantage when arc of recess is equal to arc of approach in meshing gears?
16. Write down the differences between involute and cycloidal tooth profile.
17. Name two applications of reverted gear train.
18. What are the advantages of planetary gear train?

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19. What is the use of differential in automobile?
20. What are various types of torques in an epicyclic gear train?

Viva-voce

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18 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.03 EXPERIMENTAL STUDY OF SPEED RATIO OF AN
EPICYCLIC GEAR TRAIN
Aim:

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To conduct the experimental study of speed ratio of an epicyclic gear train
Apparatus required:
Epicyclic gear train, digital speed indicator, speed transformer
Procedure:
1. Connect the main chord to the 230 V, 50 Hz power supply.

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2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel of
electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.
5. Switch on the instrument.

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6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total reduction in speed (N) = (N
1
? N

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2
) / N
1 x
100 in %
Where,

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N
1
= Input Speed in rpm
N
2

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= Output Speed in rpm
2. Speed Ratio = (Input Speed/ Output Speed)
Graph:
Input Speed Vs Output Speed.
Tabulation:

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Sl. No.
Input Speed in
rpm (N
1

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)
Output Speed in
rpm (N
2
)

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Total reduction in
Speed (N)

Speed
Ratio

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(N
1
/N
2
)

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Result:
Thus the speed ratio of an epicyclic gear reducer is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of an

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Epicyclic gear train which is used in transmission systems.
19 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobile, hoists,

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pulley blocks, wrist watches.


1. Which type of gear box is used in automobiles?
2. What is meant by an idle gear?

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3. In which type of vehicles, differential gear box is mounted on rear wheel axle?
4. In which type of gear trains, shaft axes which are mounted by gear wheels have relative motion
between them?
2. Define the term Limiting friction.
3. Define pressure angle and explain the effect of different pressure angles.

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4. What is axial pitch of a helical gear?
5. What are timing belts?
6. Explain the construction of involute teeth and its advantages.
7. State the conditions for constant velocity ratio of toothed wheels.
8. How to change the direction of rotation of the output gear in simple gear train without changing the

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direction of rotation of input gear?
9. What is the condition for self-locking in screws?
10. State the relationship between circular pitch and the module.
11. State the laws of dry friction.
12. Briefly write about reverted gear train with suitable sketch.

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13. What is the effect of centrifugal tension in belt drives?
14. Explain any two methods of reducing or eliminating interference in gears.
15. Why lubrication reduces friction?
16. What is meant by crowning in pulley?
Viva-voce

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20 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.04 STUDY OF SPEED RATIO OF DIFFERENTIAL GEAR
TRAIN

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Aim:
To conduct the experimental study of speed ratio of differential gear train
Apparatus required:
Differential gear train, digital speed indicator, speed transformer
Procedure:

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1. Connect the main chord to the 230 V, 50 Hz power supply.
2. Connect the sensor 1and sensor 2 to the respective sensor sockets provided on the front panel
of electronic speed control system.
3. Connect the motor cable to the terminal socket.
4. Initially, keep variable speed control knob in closed position.

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5. Switch on the instrument.
6. Adjust the speed by tuning the knob and tabulate the readings and calculate.
Formulae Used:
1. Total speed reduction in
Right wheel (N R) = (N 1- N 2)/ N1 x 100 in %

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Left wheel (N R) = (N 1- N 2)/ N1 x 100 in %
where,
N1 = input speed in rpm,
N 2 = output speed in rpm
2. Speed ratio

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Right wheel (N R) = (input speed / output speed)
Left wheel (N L) = (input speed / output speed)

Tabulation:

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Sl. No. Input Speed (rpm) N
Output Speed
(rpm)
Total reduction in
Speed (N)

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Speed Ratio
Right
Wheel
(N
1

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)
Left
Wheel
(N
2

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)
Right
Wheel
(N
1)

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Left
Wheel
(N
2)

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Right
Wheel
N
R

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Left
Wheel
N
L

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21 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:

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Input Speed Vs Output Speed (for N
R
and N
L
)

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Result:
Thus, the speed ratio of a differential gear train is carried out and the graph is plotted.
Outcome:
From this experiment, students will be able to conduct the experimental study of speed ratio of
differential gear train which is used in differential unit.

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Application:
The differential gear trains are used in the rear drive of an automobile.

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1. What is meant by an idle gear?
2. In which type of vehicle, differential gear box is mounted on rear wheel axle?
3. In which type of gear train, shaft axes which are mounted by gear wheels have relative motion between
them?
4. What is meant by initial tension in belts?

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5. What is meant by angle of contact?
6. Sate the law of belting?
7. What are the belt materials?
8. What is the effect of slip on velocity ratio of a belt drive?
9. What is meant by slope of a thread?

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10. What are the effects of limiting angle of friction?
11. What do you know about tumbler gear?
12. What is the arc of contact between two gears of pressure angle?
13. What is the maximum efficiency in worm and worm gear?
14. What is the condition and expression for maximum efficiency in spiral gear?

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15. What are the standard interchangeable tooth profiles?
16. What is the involute function in terms of pressure angle?
17. What is the minimum number of teeth on a pinion for involute rack in order to avoid interference?
Viva-voce

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22 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No. 05 DETERMINATION OF TRANSMISSION EFFICIENCY OF A
WORM GEAR REDUCER
Aim:

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To determine the transmission efficiency of a worm gear reducer
Apparatus required:
Worm gear box with coupler, 1 HP Induction motor, energy watt meter, spring balance, stop clock,
tachometer
Procedure:

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1. Connect the power cable to 3 Phase electric supply.
2. Initially, balance the spring on no load position.
3. Switch ON the power and simultaneously give the equal range load on springs of both sides by
tightening the knobs.
4. Note down the number of revolution of energy meter and time taken for the same.

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Formulae Used:
Torque = (W
1
? W
2

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) x 9.81 x r N-m
Effective radius (r) = r
r
+ r
d

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Where,
W
1
and W
2

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= Spring balance weight in Kg
r
d
and r
r

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= Radius of drum and the radius of rope in m
Input Power = (3600x N
E
)/ (Energy meter constant X Time) in KW
Output Power = 2?NT/ 60 in KW

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Transmission Efficiency = (O.P / I.P) x 100 in %

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23 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:


Result:

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Thus experimentally the transmission efficiency of a worm gear reducer is determined.
Outcome:
From this experiment, students will be able to determine the transmission efficiency of a worm gear reducer
which is used in transmission systems.
Application:

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The worm gear drives are used in gate control mechanisms, hoisting machines, automobile steering
mechanisms, lifts, conveyors, presses.

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Sl.
No.
Output
Speed
in rpm

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(N
2
)
Input
Speed

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in rpm
(N
1
)
Spring

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balance
weight
No. of
revolutions
in

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wattmeter
(N
E)

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Time taken
for 2
revolutions
(Sec)

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Torque
(N-m)

Output

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Power
(KW)

Input
Power

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(KW)

Transmission
Efficiency
(?%)

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W
1
(Kg)
W
2

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(Kg)

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1. Under what situation, worm gears are used?
2. Where do we use worm gears?
3. What is irreversibility in worm gears?
4. What are single ? enveloping and double - enveloping worm drives?

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5. How can you specify a pair of worm gears?
6. Define ? Normal pitch of a worm gear
7. What is the velocity ratio range of worm gear drive?
8. Differentiate self ? locking and over running worm drives.
9. Why phosphor bronze is widely used for worm gears?

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10. List out the main types of failure in worm gear drive.
11. In worm gear drive, only the wheels are designed. Why?
12. Why is dynamic loading rarely considered in worm gear drives?
13. What are the various losses in the worm gear?
14. In worm gearing heat removal is an important design requirement. Why?

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15. What are preferred numbers?
16. What situations demand use of gear boxes?
17. List out the main types of failure in worm gear drive.
18. What is the velocity ratio range of worm gear drive?
19. What is a speed reducer?

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20. Define ? Progression ratio

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Viva-voce

25 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.06 STUDY OF INVERSIONS OF FOUR BAR

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MECHANISMS, SINGLE AND DOUBLE SLIDER
MECHANISMS
Aim:
To study the inversions of Four bar Mechanisms, Single & Double slider crank mechanisms
Apparatus Required:

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Arrangement of four bar mechanisms, single and double slider crank mechanisms
Theory:
1. Definitions of 4 bar mechanisms, single & double slider crank mechanisms
2. Classifications of 4 bar mechanisms, single & double slider crank mechanisms
3. Diagrams of 4 bar mechanisms, single & double slider crank mechanisms

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4. Working & construction of 4 bar mechanisms, single & double slider crank mechanisms
5. Applications of 4 bar mechanisms, single & double slider crank mechanism
Grashof?s Law:
The Grashof condition for a four-bar linkage states: If the sum of the shortest and longest link of a
planar quadrilateral linkage is less than or equal to the sum of the remaining two links, if there is to be

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continuous relative motion between two members. In other words, the condition is satisfied if S+L ?
P+Q where S is the shortest link, L is the longest, and P and Q are the other links.
Single Slider Crank Chain
It is a modification of a basic four bar chain. It consists of one sliding and turning pair. It consists of
one sliding and turning pair. It is usually used in reciprocating engine mechanisms. This type of

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mechanisms converts reciprocating motion in to rotary motion. E.g. IC Engines.


Fig. Single Slider Crank Chain
26 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Four bar mechanism:
A four bar link mechanism or linkage is the most fundamental of the plane kinematics linkages. It is a
much preferred mechanical device for the mechanization and control of motion due to its simplicity and
versatility. Basically it consists of four rigid links which are connected in the form of a quadrilateral by

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four pin joints. A link that makes complete revolutions is the crank, the link opposite to the fixed link is
the coupler and the fourth link a lever or rocker if oscillates or an another crank, if rotate. By fixing the
link:-
? Shortest Link Fixed
? Link opposite to Shortest Link fixed

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Fig. Four Bar Mechanism

The four links of a four bar chain are
1. Crank or Driver ? A crank is a part that makes complete revolutions.
2. Coupler ? It is a link which is opposite to the fixed link of the mechanism that is used to

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connect the crank and rocker.
3. Lever or Rocker ? The link that makes a partial rotation is called as Lever or Rocker.
4. Frame ? The fixed link of a mechanism is called as Frame.
Different mechanisms obtained by fixing different links of a kinematics chain are known as its
inversions. A slider ?crank chain has the following inversions:-

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1. First inversion (i.e; Reciprocating engine and compressor) ? this inversion is obtained when link
1 is fixed and links 2 and 4 are made the crank and the slider respectively.
2. Second inversion (i.e., Whitworth quick return mechanism and Rotary engine) ? fixing of
link 2 of a slider ? crank chain.
3. Third inversion (i.e., Oscillating cylinder engine and crank & slotted ? lever mechanism)

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? By fixing link 3 of the slider crank mechanism.
4. Fourth inversion (Hand pump) ? I f link 4 of the slider crank mechanism is fixed, the
27 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

fourth inversion is obtained.

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Double-slider crank-chain:


A four-bar chain having two turning and two sliding pairs such that two pairs of the same
kind are adjacent is known as a double-slider-crank chain. The following are its inversions:

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1. First inversion (i.e., Elliptical trammel)
2. Second inversion (i.e., Scotch yoke)
3. Third inversion (i.e., Actual Oldham?s coupling)
Applications:
1. In reciprocating engine.

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2. In reciprocating compressor.
3. In Whitworth quick ? return mechanism and Rotary engine.
4. In oscillating cylinder engine and crank & slotted-lever mechanism.
5. In hand pump.
6. In scotch yoke.

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Result:
Thus the inversions of four bar mechanisms, single & double slider cranks mechanisms
and its comparison and motion to be named were studied.
Outcome:
From this experiment, students will be able to study inversions of four bar mechanisms, single

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& double slider crank mechanism which is used in shaper and planer machines.
28 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Application:
1. The four bar chain mechanism is used in deep boring machines and locomotives.

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2. The slider and crank mechanism is used in lathes.


1. What is meant by mobility?
2. What is meant by spatial mechanism?

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3. What is meant by number synthesis?
4. What are the important inversions of four bar chain mechanism?
5. What is toggle position?
6. What is pantograph?
7. What are the important applications of single slider crank mechanism?

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8. Compare machine and structure.
9. Give some examples for kinematic pairs.
10. Discuss Elliptical trammel.
11. Differentiate kinematic pair and kinematic chain.
12. Define ? Transmission angle

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13. Define ? Toggle position
14. What is simple mechanism?
15. Define ? Inversion mechanism
16. What is meant by mechanical advantages of mechanism?
17. Define ? Sliding pair

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18. Define ? Turning pair
19. Define ? Rolling pair
20. Define ? Higher pair

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Viva-voce

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29 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt.No.07 KINEMATICS OF UNIVERSAL JOINT

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Aim:
To study the kinematics of universal joint
Apparatus Required:
Universal joint with protractor
Description:

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Universal joint is used to connect two parallel intersects shafts, the end of each shaft
is forked and each fork provides two bearings for arms of a cross. The two forks line in places
at right angles. The arms crossing are at right angles.
Procedure:
1. Rotate the driving shaft to some angle and note down the angle for the same that as shown

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in the protractor.
2. For the same angle of rotation of driver shaft, note down the angle of rotation of driven shaft.
3. Increase the angle of rotation of driver shaft for periodic angular intervals, observe and
tabulate the driven angular positions.
Tabulation:

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Sl. No.
Input Angle (Driver)
Degrees
Output Angle (Driven)
Degrees

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Result:
Thus the kinematics of Universal Joint was studied successfully.
Outcome:

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From this experiment, students will be able to demonstrate the principles of the kinematics of
universal joint which is used in automobile industry.

30 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Application:
The universal joint is used in each end of the propeller shaft, connecting the gear box on one
end and the differential on the other end in automobiles.

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1. Define - Cylindrical pair
2. Define - Lower pair
3. Define - Single slider crank mechanism
4. Define - Double slider crank mechanism

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5. List out few types of rocking mechanism.
6. What is free body diagram?
7. What are the important inversions of four bar chain mechanism?
8. What is the important application of single slider crank mechanism?
9. What is meant by Ackermann steering?

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10. What are the two components of acceleration?
11. Define - Kennedy?s theorem
12. What are the properties of instantaneous centre?
13. What is meant by the efficiency of a mechanism?
14. State the kutzback criterion.

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15. Define - Rubbing velocity
16. What is meant by virtual centre?
17. What is meant by indexing mechanism?
18. State Coriolis law.
19. Explain normal component of acceleration.

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20. State the condition for a link to experience coriolis acceleration.


Viva-voce

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31 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.08 DETERMINATION OF MASS MOMENT OF
INERTIA USING TURN TABLE

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Aim:
To determine the moment of inertia using turn table apparatus
Apparatus required:
Turn table, masses, steel rule and brass rod
Procedure:

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1. Fix the required rod and measure the dimension (dia) at various points to calculate the mean
diameter.
2. Fix the one end of the rod at the top chuck where the flywheel (disc) is suspended at the
bottom end.
3. Give the twist to the flywheel and on release measure time for 10 oscillations.

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4. Repeat the experiments at different length and tabulate the observations.
Formulae used:
Time period (T) = Time taken/ No. of oscillations (in Sec)
Frequency (F
n

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) = 1/T (in Hz)
Moment of Inertia = Gd
4
/ 128 ? x (Fn)
2

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x l (in Kg-m
2
)
Where, Rigidity Modulus (G) = 3.5 x 10
10

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(in N/m
2
) (From PSG Data Book)
Tabulation:

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Diameter of the brass rod = (m)



Result:

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Thus the moment of inertia of the brass rod using turn table apparatus is ___________.


Sl.No.

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Length L
( m)

Time for 10
oscillations

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in (Sec)

Time Period
T in
(Sec)

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Frequency (Hz)

Mass Moment of
Inertia

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Kg m
2

32 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Outcome:
From this experiment, students will be able to determine the moment of inertia using turntable
apparatus.
Application:
The turn table is used in machine welding, scarfing and cutting, cladding, grinding, polishing,

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assembly and NDT.


1. Define ? Static force analysis
2. Define ? D Alembert?s principle

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3. What do you meant by inertia?
4. What is meant by moment of inertia?
5. What is meant by polar moment inertia?
6. Define ? Section modulus
7. Define ? Parallel axis theorem

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8. Define ? Perpendicular axis theorem
9. Define ? Natural frequency
10. Define ? Piston effort
11. Define ? Crank pin effort
12. Define ? Inertia torque

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13. Define ? Crank effort
14. Define ? Dynamics force analysis
15. State the principle of superposition.
16. Define ? Coefficient of fluctuation of speed
17. What is meant by maximum fluctuation of speed?

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18. Define ? Coefficient of fluctuation of energy
19. What do you mean by equivalent offset inertia force?
20. Define ? Radius of gyration

Viva-voce

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33 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.09 DETERMINATION OF RADIUS OF GYRATION USING
BIFILAR SUSPENSION

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Aim:
To determine the radius of gyration of a given rectangular plate
Apparatus required:
Main frame, bifilar plate, weights, stopwatch, thread
Formula used:

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Time period (T) = t/N (in Sec)
Natural frequency (F
n
) = 1/T (in Hz)
Radius of gyration (k) = (Tb/2 ) (g/L) (in mm)

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Where, b = distance of string from center of gravity, T= Time period in Sec
L = Length of the string, N = Number of oscillations
t = Time taken for N oscillations (in Sec)
Procedure:
1. Select the bifilar plate.

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2. With the help of chuck tighten the string at the top.
3. Adjust the length of string to desired value.
4. Give a small horizontal displacement about vertical axis.
5. Start the stop watch and note down the time required for ?N? oscillation.
6. Repeat the experiment by adding weights and also by changing the length of the strings.

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7. Do the model calculation.
Graph:
A graph is plotted between mass added and radius of gyration.
Observation:
Type of suspension = bifilar suspension

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Number of oscillation (n) =10
b = ________ (in m) b
1
=___________(in m) b
2

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= ________ (in m)


34 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:

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Result:
Thus the experiment is carried out and the radius of gyration of a given rectangular plate is
__________ mm.
Outcome:
From this experiment, students will be able to determine the radius of gyration of a given

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rectangular plate.
Application:
The bifilar suspension is usually used for finding the moment of inertia of a connecting rod of
an engine.

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Sl. No.
Mass added
m (Kg)
Length of
string

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L (m)

Time taken
for ?N? osc.
T(Sec)

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Time taken for
one osc.
(t) Sec
Natural
frequency F

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n
(Hz)
Radius of
gyration (k)
(mm)

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35 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Briefly explain elastic suspension.
2. Define - Transmissibility ratio
3. What is meant by transmissibility?
4. What is meant by indexing mechanism?

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5. What is limiting angle of friction?
6. What is the use of differential in automobile?
8. What is pantograph?
9. What are the important applications of single slider crank mechanism?
10. What is the toggle position?

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11. What is meant by spatial mechanism?
12. What are the requirements of an equivalent dynamical system?
13. What are the forces acting on the connecting rod?
14. Define - Resonance
15. Define - Steady state and transient vibrations

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16. What is equivalent spring stiffness?
17. What are the causes of critical speed?
18. Define - Damping ratio
19. Define - Logarithmic decrement
20. What is meant by dynamic magnifier?

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21. What are the factors that affect the critical speed of a shaft?
Viva-voce

36 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.10 DETERMINATION OF MASS MOMENT OF
INERTIA OF COMPOUND PENDULUM

Aim:
To determine the radius of gyration, mass moment of inertia and the natural frequency of

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the given circular rod experimentally
Apparatus required:
1. Vertical frame, 2.Circular rod, 3. Stop watch and 4. Steel rule
Formulae used:
Experimental Time period (T

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exp
) = t/N (in Sec)
Theoretical time period (T
theo
) = 2? ((K

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2
+ h
1
2
)/gh

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1
)
Experimental radius of gyration (K
exp
) = h/?12 (in m)

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Theoretical radius of gyration (K
theo
) = ? ((gh
1
T

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2
/4?
2
)- h
1

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2
) (in m)
Where, h
1
= distance from point of suspension to centre of gravity of rod

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h = total length of the rod
Natural frequency (Fn) :
(by Experiment) = 1/ T
exp
(Hz)

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(by Theoretical ) = 1/ T
theo
(Hz)
Moment of inertia (I) = mk
2

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in kg-m
2

Equivalent Length of pendulum (l) = (K
2

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+ h
2
)/h in m
Procedure:
1. Suspend the rod through any one of the holes.

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2. Give a small angular displacement to the rod & note the time taken for 5 oscillations.
3. Repeat the step by suspending through all the holes.

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37 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Tabulation:

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Sl.
No.
Height
h

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1
(m)
Time for 10
oscillations
t (Sec)

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Time for a
oscillation T
(Sec)
Natural frequency
Fn (Hz)

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Experimental
radius of
gyration K (m)
Moment
of inertia

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I
(m)
Equivalent
Length of
pendulum

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l
(m)
Exp
Fn
(exp)

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Theo
Fn
(theo)

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Exp
K
exp

Theo

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K
theo


Mean

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Result:
Thus the experiment was conducted for the circular rod and the following were calculated,
1. Radius of gyration = (in m)
2. Mass Moment of Inertia = (in m)

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3. Natural frequency = F n (exp)
(Hz), F n (theo)
(Hz)
Outcome:
From this experiment, students will be able to determine the radius of gyration, mass moment

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of inertia and the natural frequency of the given circular rod experimentally
Application:
The compound pendulum is used to make gravity surveys in the field.

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38 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Two node frequencies
2. Define - Fundamental frequency
3. Define - Motion isolation
4. Define - Force isolation
5. What are the isolating materials?

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6. Explain holzer method.
7. Define - Torsional equivalent shaft
8. Define - Node in torsional vibration
9. Briefly explain elastic suspension.
10. What are the methods of isolating the vibration?

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11. What is dry friction damper?
12. What is meant by viscous damping?
13. Define - Influence coefficients
14. What is continuous system?
15. Define - Continuous beam

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16. What is Rayleigh s method write its applications.
17. What is vibrometer?
18. Define - Spring stiffness and damping constant
19. What is an accelerometer?
20. What is the difference between deterministic and random vibration?

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Viva-voce

39 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.11

MOTORIZED GYROSCOPE ? STUDY OF
GYROSCOPIC EFFECT AND COUPLE

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Aim:
To determine the active and reactive gyroscopic effect and its couples
Apparatus required:
Motorized gyroscope, tachometer, or stroboscope, variable voltage transformer, rotating disc
with a light reflecting sticker for stroboscope speed measurement

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Procedure:
1. The disc as made to rotate at a constant speed at a specific time using variable voltage
transformer.
2. The speed of the (N) disc is measured using a tachometer or a stroboscope.
3. A weight /mass is added on the extending platform attached to the disc.

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4. This causes an active gyroscopic couple and the whole assembly (rotating disc, rotor and
weight platform with weight) is standing to move in a perpendicular plane to that of plane
of rotating of disc. This is called gyroscopic motion.
5. The time taken (t) to traverse a specific angular displacement is noted.
Formula used:

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Gyroscopic Couple (C) = I ?. ? p
Angular velocity or Spinning velocity (v) = 2?N/60 rad/sec
Torque applied = C = W X d N-m
Observed Velocity of precession (? p) = ? / T rad/sec
Theoretical Velocity of precession (? p) = C/I ? rad/sec

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Tabulation:
Sl.
No.
Speed
of disc,

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N
rpm
Applied
Load m,
kg

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Angle of
precision
in
Degrees
Time

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taken t,
sec
Observed
direction of
displacement

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Angular
Velocity
(rad/s)
Torque
(N - m)

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Observed
Velocity
m/sec
Theoretical
Velocity

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m/sec
Theoretical
Couple
N - m

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40 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Result:
Thus the active and reactive gyroscopic effect and its couples for the motorized were
conducted.

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Outcome:
From this experiment, students will be able to determine the active and reactive gyroscopic
effect and its couple which is used in aeroplanes and ships.
Application:
1. The gyroscopic effect is used in the gyrocompass in aeroplanes, missiles and space

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vehicles to sense the angular motion of a body.
2. The gyroscopic effect is used in the gyroscopic flowmeter and gyroscopic altitude indicator
used for stabilization of the ships.

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1. What is gyroscopic couple?
2. What is gyroscopic torque?
3. Define - Steering
4. Define - Pitching
5. Define - Rolling

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6. Give the applications of gyroscopic principle.
7. What is the effect of gyroscopic couple on rolling of ship?
8. Write the expression for gyroscopic couple.
9. Discuss the effect of the gyroscopic couple on a two wheeled vehicle when taking a turn.
10. How automatic controls are classified?

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11. What will be the effect of gyroscopic couple on the aero plane?
12. Which part of the automobile such as engine rotor and vehicle wheels are subjected to the
gyroscopic couple?
13. What is meant by reactive gyroscopic couple?
14. What is meant by applied torque and reaction torque?

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15. Define - Gyroscopic acceleration
Viva-voce

41 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.12 TO STUDY THE DISPLACEMENT, MOTION CURVE
AND JUMP PHENOMENON OF CAM
Aim:
? To study the profile of given can using cam analysis system and to draw the
displacement diagram for the follower and the cam profile

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? To study the jump-speed characteristics of the cam & follower mechanism
Apparatus required:
Cam analysis system and Dial gauge
Description:
Cam is a machine element such as a cylinder or any other solid with a surface of contact so

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designed as to give a predetermined motion to another element called the follower. A cam is a
rotating body importing oscillating motor to the follower. All cam mechanisms are composed of
at least there links viz: 1.Cam, 2. Follower and 3. Frame which guides follower and cam.
Graph:
Displacement diagram and also the cam profile are drawn using a polar graph chart. The

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Velocity Vs acceleration curve is drawn.
Procedure:
Cam analysis system consists of cam roller follower, pull rod and guide of pull rod.
1. Set the cam at 0? and note down the projected length of the pull rod
2. Rotate the can through 10? and note down the projected length of the pull rod above

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the guide
3. Note down the corresponding displacement of the follower.
Jump-speed:
1. The cam is run at gradually increasing speeds, and the speed at which the follower jumps
off is observed.

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2. This jump-speed is observed for different loads on the follower.


42 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Tabulation:
1. Cam profile

Sl. No.
Angle of

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rotation
(degrees)
Lift
in mm
Displacement

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in mm
Velocity
in m/s
Acceleration
(x 10

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-3
)
m/s
2

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2. Jump-speed.

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Sl. No.
Load on the
Follower, F (N)
Jump-speed

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N (rpm)

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Result:
Thus the displacement and jump phenomenon were studied and the motion curve is plotted
in polar curve.
Outcome:

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From this experiment, students will be able to demonstrate using cam analysis system and
to draw the displacement diagram for the follower and the cam profile, used in valve operating
mechanism.
Application:
The cam mechanism is used in Internal combustion engine for operating rocker arm.

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43 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00



1. What is a cam?

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2. Give some examples for cams.
3. Define - Tangent cam
4. Distinguish radial and cylindrical cams.
5. How can high surface stress in flat faced follower be minimized?
6. Compare roller and mushroom follower be minimized?

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7. Where are the roller follower extensively used?
8. Define - Dwell period
9. Explain offset follower.
10. Define - Trace point
11. Define - Pressure angle with respect to cams

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12. Define - Stroke in cam
13. Define undercutting in cam. How it occurs?
14. How could you prevent undercutting in cam?
15. What do you know about monogram?
16. State the advantages of tangent cam.

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17. Sketch any four types of follower with cam arrangement.
18. State the basic requirements for high speed cams.
19. Construct the displacement diagram for the follower motion to be cycloidal.
20. What is prime circle of a cam?

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Viva-voce

44 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.13 FREE VIBRATION OF SPRING-MASS SYSTEM

Aim:
To calculate the longitudinal undamped natural frequency of an open coil helical spring
mass system

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Apparatus required:
Open coil helical spring, Masses, Thread, Ruler, and Stopwatch
Description:
The setup is designed to study the free or forced vibration of a spring mass system either
damped or undamped condition. It consists of a mild steel flat firmly fixed at one end through a

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trunnion and in the other end suspended by a helical spring, the trunnion has got its bearings
fixed to a side member of the frame and allows the pivotal motion of the flat and hence the vertical
motion of a mass which can be mounted at any position along the longitudinal axes of the flat.
The mass unit is also called the exciter, and its unbalanced mass can create an excitation force
during the study of forced vibration experiment. The experiment consists of two freely rotating

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unbalanced discs. The magnitude of the mass of the exciter can be varied by adding extra weight,
which can be screwed at the end of the exciter.
Formula used:
Stiffness, k = load/deflection N/m
Experimental natural frequency, f

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n(exp)
=1/t
p
Hz, Where, t
p

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= 2?g/ ?
Theoretical natural frequency, f
n(the)
= 1/2?(g/ ?) Hz
Procedure:

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Determination of spring stiffness
1. Fix the top bracket at the side of the scale and Insert one end of the spring on the hook.
2. At the bottom of the spring fix the other plat form
3. Note down the reading corresponding to the plat form
4. Add the weight and observe the change in deflection

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5. With this determine spring stiffness
Determination of natural frequency
1. Add the weight and make the spring to oscillate for 10 times
45 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Note the corresponding time taken for 10 oscillations and calculate time period
3. From the time period calculate experimental natural frequency.
Graph:
Load vs Deflection
Load vs Theoretical natural frequency

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Load vs Experimental natural frequency

Tabulation:

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n(exp) n(the),

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Result:

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Thus the longitudinal undamped natural frequency experiment of an given open coil helical
spring mass system was conducted, and the frequency is (in Hz).
Outcome:
From this experiment, students will be able to calculate the longitudinal undamped natural
frequency of an open coil helical spring mass system which is used in suspension systems.

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Application:
The spring mass system concept is used to designing the helical spring.

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Sl

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no
Mass
added
M
(kg)

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Length of the
Spring L
(mm)
Deflection
(mm)

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Stiffness
k (N/m)

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Time for 10
oscillation
T (sec)
Time
period for

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one tp
(sec)
Experimental
natural
frequency,

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f , Hz
Theoretical
natural
frequency
f Hz Initial Final Initial Final

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46 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.
16. Distinguish between critical damping and large damping.
17. When do you say a vibrating system in under ? damped?
18. What is the limit beyond which damping is determined and why?
19. What is the difference between viscous damping and coulomb damping?

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20. What is the difference between frequencies of Undamped and damped vibration?

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Viva-voce

47 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.14

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UNDAMPED AND DAMPED NATURAL AND
FORCED FREQUENCIES
Aim:
To study the undamped natural and forced vibration of equivalent spring mass system
Description of set up:

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The arrangement is shown in the equipment. It is designed to study, free and forced undamped
vibrations. It consists of M.S rectangular beam supported at one end by a turn union pivoted in ball
bearing. The bearing housing is fixed to the side member of the frame. The other end of the beam is
supported by the lower end of helical spring. Upper end of spring is attached to the screw.
The exciter unit is coupled to D.C. variable speed motor through the belt drive. Speed of the motor

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can be varied with the dimmer stat provided on the control panel. Speed of rotation can be known from
the speed indicator on the control panel. Amplitude record vibration is to be obtained on the strip-
chart recorder.The exciter unit can be mounted at any position along the beam.
Procedure:
1. Support one end of the beam in the slot turn union and clamp it by means of screw.

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2. Attach the other end of beam to the lower end of spring.
3. Adjust the screw to which the spring attached such that beam is horizontal in the above
position.
4. Weight the exciter assembly along with discs and bearing and weight platform and clamp
the assembly at any convenient position.

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5. Measure the distance L1 of the assembly from pivot. Allow system to vibrate freely.
6. Measure the time for any 10osc and find the periodic time and natural frequency of vibrations.
7. Repeat the experiment by varying L
1
.

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8. Arrange the set up as described above.
9. Connect the exciter to D.C. Motor through belt.
10. Start the motor and allow the system to vibrate.
11. Wait for 1 to 2 minutes for the amplitude to build for particular forcing frequency and adjust
the position of strip-chart recorder.

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12. Take the recorder of amplitude Vs. time on strip chart starting recording motor.
13. Press the recorder platform on the pen gently. Pen should be wet with ink.
48 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

14. Avoid excess pressure to get good record.

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15. Take record by changing forcing frequencies.
16. Plot the graph of amplitude Vs. frequency for various damping conditions.
Observation table:
Free vibration of a spring mass system
Sl. No.

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Length
L
1 (mm)
No. of oscillations
n

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Time for n
oscillation
T (s)
Periodic time
(Expt.) T

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Natural
frequency(Expt.)

Where,
M = Mass of excited assembly. (Kg)

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L 1= Distance of w from pivot. (m)
L = Distance of spring from pivot i.e. length of beam. (m)
Forced vibration of a spring mass system

Sl. No.

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Speed
rpm
Forcing frequency
c.p.s
Amplitude

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mm


49 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Result:
The free undamped frequency = (Hz)
The forced undamped frequency = (Hz)
Outcome:
From this experiment, students will be able to demonstrate the undamped natural and forced vibration

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of equivalent spring mass system
Application:
The natural and forced frequency concepts are used to designing musical instrument, shock
absorber.

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1. What is neutral layer?
2. When is a beam said to be in a state of pure or simple bending?
3. What is section modulus?

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4. How does the bending stress depend on section modulus?
5. Write the expression for section modulus.
6. Define - Moment of resistance
7. What are flitched beams?
8. Sate natural frequency of torsional vibration of a simple system.

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9. What are the conditions to be satisfied for an equivalent system to that of geared system in
torsional vibration?
10. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
11. Define ? Torsion

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12. Write the polar moment of inertia of a solid circular shaft.
13. Write the polar moment of inertia of a hollow circular shaft.
14. Define - Polar modulus for a circular section
15. Write the polar modulus for solid shaft.

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Viva-voce

50 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.15 TRANSVERSE VIBRATIONS - I

Aim:
To find the natural frequency of transverse vibration of the cantilever beam with

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concentrated masses
Apparatus required:
Displacement measuring system (strain gauge) and masses
Description:
Strain gauge is bound on the beam in the form of a bridge. One end of the beam is fixed and the other

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end is hanging free for keeping the weights to find the natural frequency while applying the load on the
beam. This displacement causes strain gauge bridge to give the output in millivolt. Reading of the digital
indicator will be in mm.
Formulae used:
1. Natural frequency = 1/2?(g/?) Hz

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Where, g= acceleration due to gravity in m/s
2
and = deflection in m.
2. Theoretical deflection ? = Wl3/3EI
Where,

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W = applied load in Newton, L = length of the beam in mm
E = young?s modules of material in N/mm
2
, I= moment of inertia in mm
4

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= bh3/12
3. Experimental stiffness = W/? N-mm and Theoretical stiffness = W/? =3EI/l3 N/mm
Procedure:
1. Connect the sensors to instrument using connection cable.
2. Plug the main cord to 230v/ 50 Hz supply.

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3. Switch on the instrument.
4. Keep the switch in the read position and turn the potentiometer till displays reads ?0?.
5. Keep the switch at cal position and turn the potentiometer till display reads 5.
6. Keep the switch again in read position and ensure at the display shows ?0?.
7. Apply the load gradually in grams.

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8. Read the deflection in mm.
51 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graph:
1. Draw the characteristics curves of load vs. displacement, natural frequency.

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2. Draw the characteristics curves of displacement vs. natural frequency.
Tabulation:
Observation:
Cantilever beam dimensions: Length= ___, Breadth= ___and Height=

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Sl.
No.
Applied
mass
m (kg)

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Deflection
(mm)
Theoretical
deflection
T

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(mm)
Experimental
Stiffness
k (N/mm)
Theoretical

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Stiffness
k (N/mm)
Natural
frequency f n
(Hz)

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Result:
Thus the transverse vibration frequency of a cantilever beam is experimentally studies and the
frequency is _________ (in Hz) and the characteristic graphs are plotted.

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Outcome:
From this experiment, students will be able to find the natural frequency of transverse vibration of the
cantilever beam with concentrated masses
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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52 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write down any four types of beams.

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2. What is meant by overhanging beam?
3. Define - Shear force and bending moment
4. State the sign convention for shear force.
5. State the sign convention for bending moment.
6. What does the area under shear force diagram give?

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7. Define - Point of contra flexure
8. What is the value of bending moment corresponding to a point having zero shear force?
9. What is neutral layer?
10. When is a beam said to be in a state of pure or simple bending?
11. What is section modulus?

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12. How does the bending stress depend on section modulus?
13. Write the expression for section modulus.
14. Define - Moment of resistance
15. What are flitched beams?
16. What is meant by shear centre?

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17. What is meant by neutral axis of a beam?
18. State any two assumptions in theory of shear stresses in beams.
19. Define - Shear flow
20. Define - Obliquity

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Viva-voce

53 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.16 TRANSVERSE VIBRATIONS - II

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Aim:
To study the transverse vibrations of a simply supported beam subjected to central or offset
concentrated load

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Apparatus Required:
Trunnion bearings, Beam set up and masses
Formulae used:
Defection at the center, ?
T

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= Wl
3
/48EI for central concentrated load.
Defection at the load point, ?
T

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= Wa
2
b
2
/3EI for offset concentrated load.

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Defection at the center, ?
T
= 5wl
4
/384EI for uniformly distributed load.

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I = bd
3
/12; b = width of the beam, d = depth of the beam, l = length of the beam.
Natural frequency of transverse vibrations, f
n

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= 1/2? (g/?) Hz
Where, g = acceleration due to gravity in m/s
2
and
? = deflection in m

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Procedure:
1. Fix the beam into the slots of trunnion bearings and tighten.
2. Add the concentrated load centrally or offset, or uniformly distributed.
3. Determine the deflection of the beam for various weights added.
Observations: b =_____________, d =____________, l =___________, E =_____________

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Tabulation:

Sl.
No.

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Mass added
m , kg
Experimental
Deflection
?, m

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Theoretical
Deflection
?
T
, m

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Theoretical
Nat. freq.
f
n
, Hz

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Experimental
Stiffness
K, N/m
Theoretical
Stiffness

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K, N/m

54 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Graphs:

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1. Deflection Vs. load (N) from this get stiffness (graph)
2. Deflection Vs. Natural frequency
3. Load in N Vs. natural frequency
Stiffness experimental, K = load/deflection =W/? = mg/? N/mm
Stiffness theoretical, K = W/ ?

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T
= 48EI/l
3
for center load,
= 3EIl/a

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2
b
2
for offset load,
= 384EI/5l

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3
for uniformly distributed load
Result:
Thus the transverse vibration frequency of a simply supported beam subjected to central load is
experimentally studied and the frequency is (in Hz).

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Outcome:
From this experiment, students will be able to demonstrate the transverse vibrations of a simply
supported beam subjected to central or offset concentrated load
Application:
The transverse vibration concept is used to enhanced submerged hollow fibre membrane distillation

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crystallizer for hypersaline water treatment.

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55 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00


1. Write the polar modulus for a hollow shaft.
2. Express the strength of a solid shaft.

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3. Why are hollow shafts preferred to solid shafts?
4. Write the polar moment of inertia of a hollow circular shaft.
5. Define - Polar modulus for a circular section
6. Write the polar modulus for solid shaft.
7. Write the polar modulus for a hollow shaft.

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8. Express the strength of a solid shaft.
9. Why are hollow shafts preferred to solid shafts?
10. List the loads normally acting on a shaft.
11. Define - Modulus of rigidity
12. State the elastic constants.

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13. Define - Frequency response curve
14. What is phase response curve?
15. What is force isolation?

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Viva-voce

56 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.17 DETERMINATION OF TORSIONAL NATURAL
FREQUENCY OF DOUBLE ROTOR SYSTEM
Aim:
To determine the torsional natural frequency of double rotor system
Apparatus Required:

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Main Frame, Two Masses, Shaft, Stop Clock
Procedure:
1. Fix the two rotor discs to the shaft and fix the both ends of shaft in bearings.
2. Manually, twist the disc in opposite direction to each other and release it.
3. Note down the time for 10 oscillations.

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4. Repeat the same experimentation with different masses attached with the ends and
tabulate the readings.
Formulae:
Let, L ? Length of shaft (in m)
I

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A
and I
A ? MI of disc A and B respectively (in Kg-m
2
)

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D ? Dia of the shaft (in m)
R ? Radius of fixation of weight on arm from disc center. (with loads in cross arm)
W ? Weight attached to cross arm
I
A

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? (W
A
/g) x (D
A
/8)

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2
= m
A
. D
A

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/8
2
I
B
? (W

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B
/g) x (D
A
/8)
2

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+ (2W
1
/g)x(R/8)
2
= (m

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B
. D
B
/8) + (2mR /8 )
Dia of disc A (D

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A
) = m
Dia of disc B (D
B
) = m

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Weight of disc A (m
A
) = Kg
Weight of disc B (m
B

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) = Kg
Length of cross arm(L) = m
Torsional stiffness of shaft (k
t
) = G.Ip/L

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57 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Time period:
T
theo
= 2? ((I
A.

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I
B
) / k
t
(I

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A
+ I
B
)) in Sec
T

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exp
= t/N in Sec
Where,
G ? Modulus of rigidity
Ip ? Polar MI of shaft = (?d

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4
/32) in m
Tabulation:

Sl.

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No.
Load
(Kg)
No. of
oscillation

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s
Time
for 10
oscillations
Time

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for 1
oscillation
MMI of disc A
(I
A

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) Kg-m
2

MMI of disc B
(I

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B
) Kg-m
2

Experimental

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Frequency
Hz


Result:

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Thus the natural frequency for torsional vibration of double rotor system is determined. The
results are:
1. Moment of Inertial of I
A
= Kg ? m

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2

2. Moment of Inertial of I
B
= Kg ? m

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2

3. Theoretical Frequency = Hz
4. Experimental Frequency = Hz
Outcome:

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From this experiment, students will be able to determine the torsional natural frequency of double
rotor system
Application:
The torsional natural frequency of the double rotor system concept is used in designing of aircraft.

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58 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. Define - Torsional vibration
2. Differentiate between transverse and torsional vibration.
3. Define - Torsional equivalent shaft
4. Sate natural frequency of torsional vibration of a simple system.
5. What are the conditions to be satisfied for an equivalent system to that of geared system in torsional

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vibration?
6. How will you treat the inertia of gears while calculating the frequency of torsional vibrations of
geared system?
7. Define - Torsion
8. Write the polar moment of inertia of a solid circular shaft.

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9. Write the polar moment of inertia of a hollow circular shaft.
10. Define - Polar modulus for a circular section
11. Write the polar modulus for solid shaft.
12. Write the polar modulus for a hollow shaft.
13. Express the strength of a solid shaft.

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14. Why are hollow shafts preferred to solid shafts?
15. List the loads normally acting on a shaft.
16. Define - Modulus of rigidity
17. State the elastic constants.
18. Define - Flexural rigidity

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19. What is dry friction damper?
20. Mention important types of free vibrations.


Viva-voce

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59 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.18 DETERMINATION OF WHIRLING OF SHAFT

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Aim:
To determine theoretically the critical speed of the given shaft with the given end conditions
Apparatus required:
Shaft set up
Description:

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The speed at which the shaft runs so that additional deflection of the shaft from the axis of rotation
becomes infinite is known as critical speed.
Normally the centre of gravity of a loaded shaft will always displace from the axis of rotation although
the amount of displacement may be very small. As a result of this displacement, the centre of gravity is
subjected to a centripetal acceleration as soon as the Shaft begins to rotate. The inertia force acts

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radially outwards and bends the shaft. The bending of shaft not only depends upon the value of
eccentricity, but also depends upon the speed at which the shaft rotates.
Formula used:
f n = K?(EgI/wl4) and N= f n X 60
Where,

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f n = natural frequency of vibration in Hz
g = acceleration due to gravity, (9.81 m/s2), E= modules of elasticity of the shaft
I = moment of inertia of shaft in m4, w= weight /unit length in N/m
L = effective length of the shaft between supports in m. and N= speed of the shaft in rpm
K = constant (2.45)

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Procedure:
1. Connect the shaft cord to the power source.
2. Increase the speed of the shaft with the speed controller.
3. Find the speed which the shaft rotates vigorously
4. Note the speed at the digital indicates in which the deflection is more.

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5. Find the frequency for the speed in which the deflection is more.
Calculation:
1. Moment of inertia
60 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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2. Weight of solid shaft
3. Natural frequency
4. Critical speed
Result:
Thus the critical speed of the given shaft is determined.

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Outcome:
From this experiment, students will be able to determine theoretical speed of the given shaft with the
given end conditions
Application:
The whirling of shaft concept is used in designing of ball mill, roller mill, cone crusher.

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1. Define - Frequency response curve
2. What is phase response curve?

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3. What is force isolation?
4. What is motion isolation?
5. Define - Amplitude
6. What is longitudinal vibration?
7. What are the causes of critical speed?

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8. What are the factors that affect the critical speed of a shaft?
9. Define - Critical speed
10. Briefly explain elastic suspension.
11. Specify the important of vibration isolation?
12. What is meant by harmonic forcing?

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13. State different methods of finding natural frequency of a system.
14. Define - Critical damping
15. What is the limit beyond which damping is detrimental and why?
16. What type of motion is exhibited by a vibrating system when it is critical damped?
17. Why is critical speed encountered?

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Viva-voce

61 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.19 BALANCING OF ROTATING MASSES

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Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple
polygon
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Apparatus required:
Rotor system, weights, steel rule, etc?
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1 Plane of the masses 2. Angular position of the masses 3. Force polygon

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4 Couple polygon
Result:
The given rotor system has been dynamically balanced with the aid of force polygon and couple
polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
of the force polygon.
Application:
The balancing of rotating masses is important to avoid vibration in heavy industrial machines such as
gas turbines and electric generators.

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63 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the effect of hammer blow and what is the cause it?
2. Why radial engines are preferred?
3. Give the reason for selecting different firing orders.
4. Why cranks of a locomotive are generally at right angles to one another?
5. Differentiate static and dynamic balancing.

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6. Define - Dalby?s method of balancing masses
7. Why complete balancing is not possible in reciprocating masses?
8. What are the various cases of balancing revolving masses?
9. Define - Tractive force
10. Define - Swaying couple

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11. What are in ? line engines?
12. Define - Dynamic balancing
13. Write the important of balancing?
14. Why balancing of dynamic forces are necessary?
15. Write the different types of balancing.

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Viva-voce

64 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.20 BALANCING OF RECIPROCATING MASSES

Aim:
To balance the given rotor system dynamically with the aid of the force polygon and the couple

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polygon
Apparatus required:
Reciprocating system, weights, steel rule, etc
Procedure:
1. Fix the unbalanced masses as per the given conditions: radius, angular position and plane of

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masses.
2. Find out thee balancing masses and angular positions using force polygon, and couple
polygon
3. Fix the balancing masses (calculated masses) at the respective radii and angular position.
4. Run the system at certain speeds and check that the balancing is done effectively.

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5. If the rotor system rotates smoothly, without considerable vibrations, means the system is
dynamically balanced.
Tabulation:
Sl. No.
Planes of

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mass
Mass m,
kg
Radius r,
m

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C. Force /
?
2
mr,
kg-m

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Distance from
Ref. Plane l,
m
Couple / ?
2

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mrl,
kg-m
2

1

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2
3
4
A
B

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C
D

Diagrams:
1. Plane of the masses 2. Angular position of the masses 3. Force polygon

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4. Couple polygon
Result:
The given reciprocating system has been dynamically balanced with the aid of force polygon and
couple polygon.
Outcome:

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From this experiment, students will be able to balance the given rotor system dynamically with the aid
65 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

of the force polygon
Application:

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The balancing of reciprocating masses is important to avoid shaking forces and shaking couples in
heavy industrial machines such as gas turbines and electric generators.


1. What is meant by balancing of rotating masses?

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2. Why rotating masses are to be dynamically balanced?
3. Define - Static balancing
4. Define - Dynamic balancing
5. Write the important of balancing?
6. Why balancing of dynamic forces are necessary?

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7. Write the different types of balancing.
8. State the condition for static balancing.
9. Write the condition for complete balancing.
10. Differentiate static and dynamic balancing.
11. Define - Dalby?s method of balancing masses

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12. Why complete balancing is not possible in reciprocating masses?
13. What are the various cases of balancing revolving masses?
14. Define - Tractive force
15. Define - Swaying couple
16. What are in ? line engines?

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17. What is the effect of hammer blow and what is the cause it?
18. Why radial engines are preferred?
19. Give the reason for selecting different firing orders.
20. Why cranks of a locomotive are generally at right angles to one another?

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Viva-voce

66 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.21 MEASUREMENT OF DISPLACEMENT, VELOCITY AND
ACCELERATION USING VIBRATION ANALYSIS
Aim:
To measure the displacement, velocity and acceleration using vibration analysis
Apparatus required:

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Oscillation power amplifier, vibration oscillator, vibration amplifier
Graph:
1. Frequency Vs Displacement
2. Frequency Vs Velocity
3. Frequency Vs Acceleration

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Procedure:
1. Connect the power amplifier output to vibration exciter.
2. Place acceleration probe upon the vibration exciter as spindle.
3. Connect the vibration probe up cable to the accelerator.
4. Set the varying range as 100.

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5. Vary the input and note down the observations.

Tabulation:

Sl.No. Frequency in Hz

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Displacement X
200 ?
Velocity X 200
mm/s
Acceleration X

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200 m/s
2

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Result:
Thus the displacement, velocity and acceleration are measured using vibration analysis and the
characteristics were studied from the plotted graph.
Outcome:
From this experiment, students will be able to measure the displacement, velocity and acceleration

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67 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

using vibration analysis
Application:
The vibration analysis concept is used in service equipment, such as helicopter transmissions and

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turbine engines.


1. When involutes interference occurs?
2. Define - Cycloid

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3. Define - Gear tooth system.
4. What are the conditions to be satisfied for interchangeability of all gear?
5. Define - Circular pitch
6. What is meant by angle of dwell?
7. What is meant by contact ratio?

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8. Define - Pressure angle
9. Discuss the advantages of involutes gear tooth profile.
10. Define - Gear tooth system
11. Define - Coefficient of fluctuation of energy
12. Define - Coefficient of fluctuation of speed

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13. Explain the term maximum fluctuation of energy in fly wheel.
14. Define - Direct and reverse cranks
15. What is meant by degrees of freedom in a vibrating system?
16. Define - Coefficient of sensitiveness
17. Explain controlling force?

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18. Define - Isolation factor
19. Define - Influence co- efficient
20. Define - Inertia force
Viva-voce

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68 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

Expt. No.22 HARTNELL GOVERNOR

Aim:

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To find the stiffness, sensitivity and effort of the spring using Hartnell governor
Apparatus required:
Hartnell governor setup and Tachometer
Description:
Hartnell governor is a centrifugal type spring controlled governor where the pivot of the ball

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crank lever is carried by the moving sleeve. The spring is compressed between the sleeve and
the cap is fixed to the end of the governor shaft. The ball crank is mounted with its bell and the
vertical arm pressing against the cap.
Formula:
F

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c 1
= m ? 1
2

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r
1
(N) and F
c 2
= m ? 2

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2

r 2 (N)
?
1

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= 2?N
1
/60 rad/s and ?
2
=2?N

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2
/60 rad/s
S
1
= 2Fc

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1
(x/y) N and S
2
=2Fc
2

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(x/y) N
r
2
= r-R(x/y) (mm)
Sensitivity = (maximum speed-minimum speed)/mean speed = (N

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1
-N
2
)/N
Effort = (spring force at maximum speed- spring force at minimum speed)/2

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Spring stiffness = (S
1
-S
2
)/R N/mm

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Where, m= mass of the ball is (m=0.18 kg)
?
1
& ?
2

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= angular speed of governor at maximum radius and minimum radius respectively
in rad/sec
r
1
& r

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2
= maximum and minimum radius of rotation
Fc
1
& Fc

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2
=centrifugal forces at ?
1
and ?
2

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in N
X= length of the vertical ball arm of lever in m
Y= length of the horizontal ball arm of lever in m
S
1

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& S
2
= spring forces at ?
1
& ?

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2
in N
Procedure:
1. Keep the speed regulation in 0 position before starting the motor.
2. Increase the regulated output gradually till the motor takes the critical speed

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and immediately control the speed of the governor
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3. Maintain the speed for each and every graduation as required to take the direct reading
Tabulation:

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Sl.
No.
Speed, N (rpm)
Sensitivity Effort (N) Stiffness (N/mm)

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Min Max mean


X=______ , Y=______ , r
1

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= r
Graph:
1. Mean speed Vs. Sensitivity
2. Mean speed Vs. Effort
Result:

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Thus the stiffness, sensitivity and effort of the spring is found using Hartnell governor.
Outcome:
From this experiment, students will be able to find the stiffness, sensitivity and effort of the
spring using Hartnell governor which is used in diesel engines.
Application:

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The hartnell governor is used in stationary steam engines, traction engines

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70 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What is the function of governor?

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2. How governors are classified?
3. Differentiate between governor and fly wheel.
4. What is meant by sensitiveness of a governor?
5. What is the effect of friction on the governor?
6. Define - Coefficient of sensitiveness

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7. What is meant by hunting?
8. What is meant by isochronous conditions governor?
9. Define - Stability of a governor
10. What is the principle of working of centrifugal governor?
11. Define - Power of governor

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12. Explain the term stability of governor.
13. Explain sensitiveness of governors.
14. Explain governor effect.
15. What is the principle of inertia governors?
16. What is equilibrium speed?

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17. Differentiate hunting from sensitiveness.
18. When is a governor said to be hunt?
19. Derive an expression for the height in the case of a watt governor.
20. When is a governor said to be stable?

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Viva-voce


71 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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ADDITIONAL EXPERIMENTS BEYOND THE SYLLABUS

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72 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.23 STUDY OF VIBRATION
Aim:
To study the vibration, causes and its characteristics
Vibration:

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Vibration is simply the motion of a machine of machine part back and forth from its position of
rest. The simplest way to show vibration is to follow the motion of a weight suspended on the end
of a spring. This is typical of all machines since they too have weight and spring like property.
Vibration of the response of a system to some internal or external or force applied to the system.
Causes of vibrations:

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The most common problems that produce vibration are,
1. Unbalance of rotating parts
2. Misalignment of couplings and bearings
3. Bent shaft
4. Worn eccentric or damaged gears

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5. Bad drive belts and drive chains
6. Bad bearings
7. Torque variations
8. Electromagnetic force
9. Aerodynamic forces

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10. Hydraulic forces
11. Looseness
12. Rubbing
13. Resonance
The characteristics of vibration:

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A machine?s condition and mechanical problems are determined by measuring its vibration
characteristics. The more important of these characteristics include,
1. Frequency
2. Displacement
3. Velocity

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4. Acceleration

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5. Phase

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6. Spike energy
Vibration frequency:
Vibration frequency is the measure of the number of complete cycle that occurs in a
specified period of time. Frequency is related to the period of a vibration pattern by this simple
formula,

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Frequency =
1

Time period
Vibration displacement:

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The total distance travelled by the vibrating part from one extreme limit of travel to the other
extreme limit of travel to the other extreme limit of travel is referred to as the ?peak to peak
displacement?. The peak to peak displacement is expressed in micro meter.
Vibration velocity:
Since the vibration weight is moving, it must be moving at some speed. However the speed of

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the weight is constantly changing. The speed of velocity is greatest as the weight passes the
neutral position and zero at extreme ends. For measurement highest peak velocity is taken and
unit is millimeter.
Vibration acceleration:
As the velocity changes there is change in acceleration. The acceleration of the part is

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maximum at the extreme limit and zero when it passes neutral position. Vibration acceleration is
normally expressed in ?g?s? peak, where one ?g? is the acceleration produced by the force
of gravity at the surface of the earth i.e. 9.81 m/s
2
.

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Vibration phase:
Another important characteristic of vibration is phase. Phase is defined as the position of
vibrating part at a given instance with reference to a fixed point or another vibrating part. In a
practical sense, phase measurements offer a convenient way to compare one vibration motion
with another; or to determine how one part is vibrating relative to another part.

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Vibration spike energy:
Spike energy measurements include very short duration, high frequency, spike like

74 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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pluses of vibration energy that occur in machinery as a result of,
1. Surface flows in rolling elements of bearings or gears.
2. Rubs, impact and metal to metal contact in rotating machine.
3. High pressure steam or air leaks.
4. Cavitation of flow turbulence in fluids.

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Spike energy measurement has its own unique units of measurement. Although spike energy
measurements are basically a measure of vibration acceleration. For this reason spike energy
measurements are expressed in ?g-SE? units.
Vibration analysis data acquisition:
Vibration analysis is a 2 step process involving the acquisition and interpretation of machinery

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vibration data. Its purpose is to determine the mechanical condition of a machine and pinpoint any
specific mechanical or operational defects.
Digital stroboscope:
Digital stroboscope is a microprocessor circuit design. High accuracy, digital readout, light duty. It
is ideal for inspecting and measuring the speed of moving gears, fan centrifuges, pump, motors

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and other equipment used in general industrial maintenance, production, quality control.
This stroboscope employs an exclusive chip of microcomputer LSI circuit & crystal control time
base which results in accuracy over a wide dynamic range.
Result:
Thus the study of vibration, causes and its characteristics was studied.

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Outcome:
From this experiment, students will be able to demonstrate the vibration, causes and its
characteristics
Application:
The vibration concept comes in designing of every mechanical equipment like lathe, drilling, tool

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box, gear box.

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75 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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1. What are the causes and effect of vibration?
2. Define - Free vibration
3. What are the different types of vibrations?
4. State different methods of finding natural frequency of a system

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5. What is meant by free vibration and forced vibration?
6. What is meant by damping and damped vibrations?
7. What is meant by degrees of freedom in a vibrating system?
8. Define - Steady state vibration
9. Define - Transient vibration

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10. What are the areas of application of transient vibration?
11. What is equivalent spring stiffness?
12. List the various methods of finding the natural frequency of free longitudinal vibrations.
13. What is the natural frequency of simple spring ? mass system?
14. What is the effect of inertia on the shaft in longitudinal and transverse vibrations?

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15. State the expression for the frequency of simple pendulum.

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Viva-voce


76 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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Expt. No.24 STROBOSCOPE
Aim:
To study of speed measurement by using stroboscope
Apparatus required:

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Digital stroboscope, variable speed motor variable motor, speed control
Tabulation:
Observation Table:
Sl. No.
Variable speed motor

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Controller
(in Volts)
Stroboscope reading
(in RPM)
Contact Tachometer

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(in RPM)


Graph:
1. Variable speed motor controller (rpm) Vs stroboscope reading (rpm)

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2. Stroboscope reading (rpm) Vs non-contact type tachometer (rpm)
Procedure:
3. Preparation of the Set Up:
a. Plug unit into a properly power source.
b. Turn the power switch to ?ON? position.

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c. Determine the range switch to ?low? or ?high? position.
3. Checking speed:
When checking speed, care must be taken to ensure that stroboscope is flashing in unison
with the object being monitored. A stroboscope will also stop motion at 2:1,3:1, 4:1 etc.; this is
normally referred to as harmonics. To be sure of unison, turn the dia., until 2 images appears

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this is the actual speed.

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4. Connect the motor cable in to motor controller

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5. Keep variable knob to zero volts.
6. Plug into 230V A.C. power supply.
7. Keep required speed.
8. Note down the reading in tabular column.
9. Make a graph.

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Result:
Thus the study of speed measurement by using stroboscope was conducted.
Outcome:
From this experiment, students will be able to demonstrate speed measurement by using
stroboscope

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Application:
1. Stroboscopes play an important role in the study of stresses on machinery in motion.
2. They are used to measuring instruments for determining cyclic speed.
3. In medicine, stroboscopes are used to view the vocal cords for diagnosis of conditions that
have produced dysphonia (hoarseness)

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78 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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4. What is step ratio?
5. What are preferred numbers?
6. What kinematic arrangement is as applied to gear boxes?
7. What does the ray ? diagram of gear box indicates?

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8. What is a speed reducer?
9. What do you understand by dynamically equivalent system?
10. What is the function of a flywheel?
11. What do you infer from the term cam dynamics?
10. What do you understand by out ? of ? balance?

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11. State conditions for the complete balancing of rotating masses.
12. How are the different masses rotating in different planes are balanced?
13. Explain reasons in detail for partial balancing of reciprocating masses.
14. What do you mean by balancing linkages?
15. What is mean by over damping?

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16. Define - Amplitude
17. Define - Free vibrations
18. What do you mean by correction couple?
19. Define - Power of a governor
20. Define - Unbalance and spring surge

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21. Why flywheels are needed in forging and pressing operations?

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Viva-voce


79 Format No.: FirstRanker/Stud/LM/34/Issue: 00/Revision: 00

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? Create a four bar linkage and demonstrate its motion with a hand crank.

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? Design, build and test a system to isolate a sensitive instrument from ground ? borne
vibrations.
? Shock Absorber Design for Rickshaw.
? Design a Gearless power transmission
? Various types of Governor arrangement

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? Create a Whitworth quick return mechanism
? Create a Cam profile mechanism
? Create a Crank slotted link mechanism
? Create an Open and cross belt drive mechanism

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