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.