A cam drives a flat reciprocating follower in the following manner:
During first 120º rotation of the cam, the follower moves outwards through a distance of 20mm with simple harmonic motion. The follower dwells during next 30º of cam rotation. During next 120º of cam rotation, the follower moves inwards with simple harmonic motion. The follower dwells for the next 90ºof cam rotation. The minimum radius of the cam is 25mm.
Draw the profile of the cam.