A cam operating a knife-edged follower has the following data :
(a) Follower moves outwards through 40 mm during 60° of cam rotation.
(b) Follower dwells for the next 45°.
(c) Follower returns to its original position during next 90°.
(d) Follower dwells for the rest of the rotation.
The displacement of the follower is to take place with simple harmonic motion during both the
outward and return strokes. The least radius of the cam is 50 mm. Draw the profile of the cam when
1. the axis of the follower passes through the cam axis, and 

2. the axis of the follower is offset 20mm towards right from the cam axis. If the cam rotates at 300 r.p.m, determine the maximum velocity and acceleration of the follower during the outward stroke and the return stroke