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B.TECH DEGREE EXAMINATION

MODEL QUESTION PAPER

ME 010 504: Kinematics of Machinery(Drawing sheet may be provided)

Time: 3hrsMax. Marks: 100

PART A (3x5)

(Answer All Questions)

1. What is meant by a Grashof mechanism?

2. What is meant by instantaneous center of rotation? How do we know

the number of instantaneous centers in a mechanism?

3. What is the significance of Chebychev spacing in linkage synthesis?

4. How do you classify cam followers according to shape?

5. Define pressure angle of a gear.

PART B (5x5)

(Answer All Questions)

6. What are straight line mechanisms? Describe one type of exact

straight line motion mechanism with the help of a sketch.

7. State and prove Arohnold Kennedys theorem.8. Explain the overlay method of graphical synthesis.

9. Deduce the expressions for the velocity and acceleration of a cam

follower when it moves with simple harmonic motion.

10. State and derive the law of gearing.

PART C (12x5)

Module I

11. Explain the different inversions of the slider crank mechanism.

Or

12. A crank rocker linkage has a 100mm frame, a 25mm crank, a

90mm coupler, and a 75mm rocker. Draw the linkage and find the

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maximum and minimum values of transmission angle .Locate the

both toggle positions and record the swing angle of the rocker.

Module II

13. Find the velocities of points B, C, and D of the double slidermechanism shown in figure if crank rotates at 42 rad/s ccw. Also

find the acceleration of the point D.

Or

14. What is meant by Coriolis component of acceleration? Derive the

expression for the

same.

Module III

15. Synthesize a function generator to solve the equation y = 1/x, 1< x < 2 using three

precision points.

Or

16. a) Which are the different steps in kinematic synthesis? (6)

b) Draw a crank rocker to give 45 rocker rotations with equal time

forward and backward.

(6)

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Module IV

17. Draw the profile of a cam which raises a valve with SHM through 3cm in 1/3 of

revolution, keep it fully raised through 1/12 revolution and it is closed in next 1/3

revolution with SHM. The valve remains closed during the rest of revolution. The

diameter of the roller is 1cm and minimum radius of the cam is to be 2cm.The axis of

the valve rod is offset by 1cm from the axis of the cam shaft.

Or

18. A cam with a minimum radius of 25mm is to be designed for a knife edge follower

with the following data:

i) To raise the follower through 35mm during 60 rotation of the cam

ii) Dwell for next 40 of the cam rotation

iii) Descending of the follower during the next 90 of the cam rotation

iv) Dwell for the rest of the cam rotation

Draw the profile of the cam if the ascending and descending of the cam is with simple

harmonic motion and the line of stroke of the follower is offset 10mm from the axis

of the shaft

Module V

19. A 20 involute pinion with 20 teeth drives a gear having 60 teeth .Module is 8mm and

addendum of each gear is 10mm.

i) Show whether interference occurs or not

ii) Find the length of path of approach and arc of approach if pinion is the driver.

Or

20. In an epicyclic gear train an annular wheel A having 54 teeth

meshes with a planet wheel B which gears with a sun wheel C, the

wheels A and C being coaxial. The wheel B is carried on a pin fixed

on one end of arm P which rotates about the axis of the wheels A

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and C.If the wheel A makes 20 r.p.m in a clockwise sense and the

arm rotates at 100 r.p.m in the anticlockwise direction and the

wheel C has 24 teeth, determine r.p.m and sense of rotation of C