Draw the displacement schedule for a follower that rises through a total displacement of 20mm with constant acceleration for 1/8 revolution, constant velocity for 1/4 revolution, and constant deceleration for 1/8 revolution of the cam. The cam then dwells for 1/4 revolution and returns with simple harmonic motion in 1/4 revolution of the cam. Additionally, show all calculations used to find exact curves for this motion.