A cam with 40 mm minimum diameter rotates in clockwise at uniform speed and has to give the following motion to a roller follower 15 mm diameter :
(i) Follower to complete outward stroke of 40 mm during 120o of cam rotation with uniform velocity.
(ii) Follower to dwell for 60o of cam rotation.
(iii) Follower will return to its initial position during 120 of cam rotation with uniform acceleration and retardation.
(iv) Follower will dwell for remaining 60o of cam rotation.
Draw the profile of cam, if the axis of follower passes through the axis of cam.