1. A cam must produce a constant acceleration of 1 m/s² over a rotation of 30° followed by constant deceleration over the next 30°. The rise over this 60° period must be 16 mm. The cam follower then dwells for 60° and this followed by the fall. The fall is identical to the rise and returns the follower to the base level at 210°. The base circle of the cam is 120 mm diameter. Construct the cam profile and, deduce the speed of rotation and maximum velocity of the follower during the return stroke.