Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2019 Winter 4th Sem Old 142001 Kinematics And Dynamics Of Machines Previous Question Paper
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (Old) EXAMINATION ? WINTER 2019
Subject Code: 142001 Date: 13/12/2019
Subject Name: Kinematics And Dynamics Of Machines
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Classify the types of cam followers with neat sketch. 07
(b) Sketch & explain various inversions of four bar chain mechanism. 07
Q.2 (a) Differentiate the following with suitable example & neat sketches.
(I) Lower & Higher Pairs (II) Closed & unclosed pairs
(III) Machine & Structure
07
(b) A shaft carries four masses in parallel planes A, B, C and D in this order along
its length. The masses at B and C are 18 kg and 12.5 kg respectively, and each
has an eccentricity of 60 mm. The masses at A and D have an eccentricity of 80
mm. The angle between the masses at B and C is 100
0
and that between the
masses at B and A is 190
0
, both being measured in same direction. The axial
distance between the planes A and B is 100 mm and that between B and C is 200
mm. If the shaft is in complete dynamic balance, Determine: (1) The magnitude
of the masses at A and D (2) The distance between planes A and D and (3) The
angular position of mass at D.
07
OR
(b) By using Klein?s construction method, explain the procedure to determine
velocity and acceleration of a slider crank mechanism.
07
Q.3 (a) Define contact ratio and derive an equation for length of path of contact for
involute gears.
07
(b) Derive the condition for maximum power transmitted by a belt drive considering
the effect of centrifugal tension.
07
OR
Q.3 (a) Explain different types of flat belt drives with neat sketches. 07
(b) A ship propelled by a turbine rotor which has a mass of 5 tonnes and a speed of
2100 r.p.m. The rotor has a radius of gyration of 0.5 m and rotates in a clockwise
direction when viewed from the stern. Find the gyroscopic effects in the
following conditions:
1. The ship sails at a speed of 30 km/h and steers to the left in a curve having 60
m radius.
2. The ship pitches 6 degree above and 6 degree below the horizontal position.
The bow is descending with its maximum velocity. The motion due to pitching
is simple harmonic and the periodic time is 20 seconds.
3. The ship rolls and at a certain instant it has an angular velocity of 0.03 rad/s
clockwise when viewed from stern.
Determine also the maximum angular acceleration during pitching. Explain how
the direction of motion due to gyroscopic effect is determined in each case.
07
Q.4 (a) State the law of gearing and Define the following gear terminologies with suitable
sketch.(i) Pitch circle (ii) Module (iii) Addendum (iv) Pressure angle
07
(b) A cam is to give the following motion to a knife-edged follower :
(i) Outside during 60
0
of cam rotation.
(ii) Dwell for the next 30
0
of cam rotation.
07
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Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ? IV (Old) EXAMINATION ? WINTER 2019
Subject Code: 142001 Date: 13/12/2019
Subject Name: Kinematics And Dynamics Of Machines
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Classify the types of cam followers with neat sketch. 07
(b) Sketch & explain various inversions of four bar chain mechanism. 07
Q.2 (a) Differentiate the following with suitable example & neat sketches.
(I) Lower & Higher Pairs (II) Closed & unclosed pairs
(III) Machine & Structure
07
(b) A shaft carries four masses in parallel planes A, B, C and D in this order along
its length. The masses at B and C are 18 kg and 12.5 kg respectively, and each
has an eccentricity of 60 mm. The masses at A and D have an eccentricity of 80
mm. The angle between the masses at B and C is 100
0
and that between the
masses at B and A is 190
0
, both being measured in same direction. The axial
distance between the planes A and B is 100 mm and that between B and C is 200
mm. If the shaft is in complete dynamic balance, Determine: (1) The magnitude
of the masses at A and D (2) The distance between planes A and D and (3) The
angular position of mass at D.
07
OR
(b) By using Klein?s construction method, explain the procedure to determine
velocity and acceleration of a slider crank mechanism.
07
Q.3 (a) Define contact ratio and derive an equation for length of path of contact for
involute gears.
07
(b) Derive the condition for maximum power transmitted by a belt drive considering
the effect of centrifugal tension.
07
OR
Q.3 (a) Explain different types of flat belt drives with neat sketches. 07
(b) A ship propelled by a turbine rotor which has a mass of 5 tonnes and a speed of
2100 r.p.m. The rotor has a radius of gyration of 0.5 m and rotates in a clockwise
direction when viewed from the stern. Find the gyroscopic effects in the
following conditions:
1. The ship sails at a speed of 30 km/h and steers to the left in a curve having 60
m radius.
2. The ship pitches 6 degree above and 6 degree below the horizontal position.
The bow is descending with its maximum velocity. The motion due to pitching
is simple harmonic and the periodic time is 20 seconds.
3. The ship rolls and at a certain instant it has an angular velocity of 0.03 rad/s
clockwise when viewed from stern.
Determine also the maximum angular acceleration during pitching. Explain how
the direction of motion due to gyroscopic effect is determined in each case.
07
Q.4 (a) State the law of gearing and Define the following gear terminologies with suitable
sketch.(i) Pitch circle (ii) Module (iii) Addendum (iv) Pressure angle
07
(b) A cam is to give the following motion to a knife-edged follower :
(i) Outside during 60
0
of cam rotation.
(ii) Dwell for the next 30
0
of cam rotation.
07
2
(iii) Return stroke during next 60
0
of cam rotation and
(iv) Dwell for the remaining 210
0
of cam rotation.
The stroke of the follower is 40 mm and the minimum radius of the cam is 50
mm. The follower moves with uniform velocity during both outstroke and
return stokes. Draw the profile of the cam when the axis of the follower passes
through the axis of the cam shaft.
OR
Q.4 (a) Explain the effect of gyroscopic couple on a naval ship during steering. 07
(b) PQRS is a four bar chain with link PS fixed. The lengths of the links are PQ =
62.5 mm ; QR = 175 mm ; RS = 112.5 mm ; PS = 200 mm . The crank PQ rotates
at 10 rad/s clockwise. Draw the Velocity and Acceleration diagram when angle
QPS =60? and Q and R lie on the same side of PS. Find the angular Acceleration
of links QR and RS.
07
Q.5 (a) Classify various gear trains and explain Reverted gear train with neat sketch. 07
(b) Four masses m1, m2, m3 and m4 are 200 kg, 300 kg, 240 kg and 260 kg
respectively. The corresponding radii of rotation are 0.2 m, 0.15 m, 0.25 m and
0.3 m respectively and the angles between successive masses are 45?, 75? and
135?. Find the position and magnitude of the balance mass required, if its radius
of rotation is 0.2 m.
07
OR
Q.5 (a) Define Free vibration and Force Vibration. Determine Natural Frequency of Free
Longitudinal Vibrations system.
07
(b) Two pulleys, one 450 mm diameter and the other 200 mm diameter are on parallel
shafts 1.95 m apart and are connected by a crossed belt. Find the length of the
belt required and the angle of contact between the belt and each pulley. What
power can be transmitted by the belt when the larger pulley rotates at 200
rev/min, if the maximum permissible tension in the belt is 1 kN, and the
coefficient of friction between the belt and pulley is 0.25?
07
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This post was last modified on 20 February 2020