Draw the profile of the cam when the roller follower moves with cycloidal motion as given below: (i) Outstroke with maximum displacement of 44 mm during 180° of cam rotation.

(ii) Return stroke for the next 150° of cam rotation.

(iii) Dwell for the remaining 30° of cam rotation.

The minimum radius of cam is 20 mm and the diameter of the roller is 10 mm. the axis of the roller follower passes through the cam shaft axis.