A cam is required to a lift of 30 mm for a rotation range of 60^o. The follower then dwells at this level for a further 90^o and then falls over the next 60^o. Finally the rest of  rotation of the cam is applied to complete a single cycle. The base circle of the cam is 100 mm diameter. The velocity of the lift and fall is kept constant for both rising and falling periods.

(a). Design a cam profile to satisfy the requirements.  

(b). If the speed of the rotation is 10 rev/min determine the velocity of the follower.

(c). Draw the displacement, velocity and acceleration diagrams for the follower.

Necessary calculations and descriptions are expected showing the details of the design.

A roller 0.4 m diameter rolls down a slope starting from rest. It takes 12 seconds make 6 complete rotations along the sloping surface accelerating uniformly as it moves. Calculate the following:

(1). The angular velocity at the end.

(2). The linear velocity at the end.

(3). The angular acceleration.

(4). The linear acceleration.

(5). The distance travelled.