0. What do you mean by asymptotes of coupler curve? 3 5. a. State and prove Robert's

law of cognate linkages 5 b. Showthat any coupler curve of a four bar mechanism can be traced

by an 4 equivalent five bar mechanism.

6.

a. Obtain relations for cam contact force and torque applied for eccentric cam 4 systems
in SHM from first principles. Also plot them along with displacement, velocity and
acceleration against crank angle.

0. Derive relations for follower response considering effects of follower elasticity. 5
Plot and compare the follower response with cam motion. PART C

a. Determine the proportions of four bar mechanism, by using three precision 6 points,

to generate ۷ = xls, where x varies between 1 and 4. Assume 30°; A8— 90° 90°; and =

90°. Take length of the fixed link AD as 25 mm.

0. Design 2 four bar mechanism using graphical method to co-ordinate the input 6 and

output angles as follows :Input angles = 15°, 30°and 45°; Output angles= 30°, 40°
and55°.

a. Derive an expression for transmission angle of a four bar mechanism in terms 6 of link
lengths. Determine the maximum and minimum transmission angles

b. The mechanism shown in Fig.2 has AoBo fixed and is driven by turning AOA.

6
Find out geometrically the maximum and minimum transmission angles. AoBo = 6
cm, AoA = 4cm, AB 3 cm and BOB = 8 cm.

B

An BoAo
Fig.2

a. Derive relations for angular momentum of a rigid body in three dimensions 4 0. Derive
reladons for kinetic energy of a rigid body in three dimensions. How 4 will they change

fora rigid body with fixed point?

c, Derive the Euler's equations of motion.