# Download GTU B.Tech 2020 Summer 3rd Sem 3131906 Kinematics And Theory Of Machine Question Paper

Download GTU (Gujarat Technological University Ahmedabad) B.Tech/BE (Bachelor of Technology/ Bachelor of Engineering) 2020 Summer 3rd Sem 3131906 Kinematics And Theory Of Machine Previous Question Paper

Seat No.: ________
Enrolment No.___________

GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER? III EXAMINATION ? SUMMER 2020
Subject Code: 3131906 Date:04/11/2020
Subject Name: Kinematics and Theory of Machine
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.

2. Make suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

MARKS
Q.1 (a) Define the following terms:
03
(1) Module of gear
(2) Pressure angle in cam-profile
(3) Self-locking brake.

(b) Define the following terms
04
(1) Lower pair
(2) Higher pair
(3) successfully constrained motion
(4) completely constrained motion

(c) Explain the working principle of any quick return mechanism with net sketch.
07

Q.2 (a) Explain the relation between linear and angular terms: displacement, velocity
03
and acceleration

(b) In a crank and slotted lever quick return mechanism, the distance between the
04
fixed centers is 300 mm and the length of the driving crank is 150 mm.
Determine the ratio of the time taken on the cutting and return strokes

(c) The crank of a slider crank mechanism rotates clockwise at a constant speed
07
of 10 rad/s. The crank OA is 150 mm and connecting rod AB is 600 mm long.
Determine the acceleration of connecting rod AB, acceleration of slider B.
When crank is at 45o from inner dead center position.

OR

(c) A four-bar mechanism ABCD, the length of the various links is given as AB
07
=190 mm, B
C = CD =280 mm, AD = 500 mm. BAD = 550. The crank
rotates at 10 rad/s in the clock wise direction. Determine...
(a) the acceleration of link BC and CD and
(b) the angular acceleration of link BC and CD.
03

(b) State and prove `Aronhold Kennedy's Theorem' of three instantaneous
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centers.

(c) Synthesize a four-bar mechanism to meet the following instantaneous
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2 = 600, 4 = 900
2 = -1 rad/sec2, 4 = 0
1

OR

Q.3 (a) Define rubbing velocity at a pin joint. What will be the rubbing velocity at
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pin joint when the two links move in the same and opposite directions?

(b) Explain in brief Function, Path & Motion Generation
04

(c) Design a four-bar chain mechanism, governed by the function y= 2x2 for the
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range 2 x 4
Assuming vary between 400 and 1200 for the input link and vary between
600 and 1320 for the output link. Find the value of x , y , and corresponding
to three precision point.
Q.4 (a) What do you understand by the term "interference" as applied to the gear?
03

(b) Bridges and roof of workshop uses structure element, justify with reason.
04

(c) Draw the cam profile operating knife edge follower from following data
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(i) Follower to move out through distance of 40mm during 100?
(ii) Follower to dwell for next 80?.
(iv) Follower to dwell for remaining cam rotation
The cam shaft rotates at 900rpm. The minimum radius of cam is 50mm and
line of follower is offset 15mm from the axis of the cam and displacement
to take place with uniform acceleration and retardation for both inward and
outward stroke.

OR

Q.4 (a) Define the following terms: (1) Dry friction (2) Film friction (3) Limiting
03
angle of friction

(b) Find maximum velocity and acceleration for outward and return stroke for
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the data given in above problem 4(c) and draw the displacement, velocity and
acceleration diagram.

(c) Explain with sketches the different types of cams and followers
07
Q.5 (a) Show that velocity ratio for compound belt drive is given by
03

(b) Derive an expression for the length of path of contact for two involutes
04
profile gear in mash.

(c) The pressure
angle of two gear in mesh is 200 and have a module of 10mm.
07
The number of teeth on pinion are 24 and on gear 60. The addendum of
pinion and gear is same and equals to one module. Determine ...
(a) the number of pairs of teeth in contact
(b) the angle of action of the pinion and gear.

OR
Q.5 (a) Explain the phenomena of slip and creep in a belt drive.
03
(b) Explain with the neat sketch the "sun and planet wheel".
04
(c) Find the power transmitted by a belt running over a pulley of 600mm
07
diameter at a speed of 200 rpm. The coefficient of friction between belt and
the pulley is 0.25, angle of lap 160? and maximum tension in the belt is 2500
N.
2