4.

5.

PART 8 (Module 111 ഭഗ)
a. Derive the equation for the coupler curve, (6 marks)

b. Show that the coupler curve has multiple points at each of its intersecadons with

the circle of foci. ( 2 marks) ೦. Explain double points. (1 marks)

a. Explain Roberts Chebychev theorem. Draw a6 bal and 5 bar cognates to a four bar

mechanism. (5 marks)

6.

* 2.

0. Derive the equation for the contact force of an eccentriccam. (4 marks)

a. Explain cross over shock ) 1 marks)

0. Explain wind up incams.( 1 marks)

©. A dwell rise cam has a rise of 30 mm and moves ۷۷۵۰+ cycloid motion for 130 0 cam
rotaHon. The follower is assembled with a retaining spring with necessary pre
compression. stiffness of the spring is 50 N/mm. The equivalent mass and stiffness
of the follower train are O. 3 kg and 75 N/ mm respectively. Determine the
follower response when the cam rotates at 3000 r.p.m.

( 7 marks)
PART C (Module V & VI)

Design a double lever mechanism to obtain the following input and output
coordination. Input angles 912 —45 0 cw, —80 0 cw and —110 0 cw and output
angles 12=30 cw, 0 cw, 14 —50 cw. Take fixed frame length as 75 mm.

(9 marks)
b. Show the different positions of the above designed mechanism with required
coordinaaon. (3 marks)
a. Derive the equation for the kinetic energy of rigid body in 3 dimension.
( 6 marks) b.
Explain gyroscopic effect. What are the applications of this effect? Mention the places
where its effect is to be considered seriously. (3 marks)

c. What is steady precession of a gyroscope? Explain how the crushing force in a
crushing mill is magnified. (3 marks)

a. Derive the equation for the angular momentum of a rigid body in 3 dimensions, ( 6
marks)
b. Derive the scalar equations for the rotation of a rigid body about a fixed axis.

(3 marks) ൦.
Explain the principle of impulse and momentum for the plane motion of a rigid
body.

(3 marks)