A follower moves with harmonic motion (H-1) a distance or 25 mm in π/4 rad of cam rotation. The follower then moves 25 mm more with cycloidal motion (C-2) to complete its displacement. The follower dwells and returns 25 mm with cycloidal motion (C-3) and then moves the remaining 25 mm with harmonic motion (H-4) in π /4 rad.
(a) Find the intervals or cam rotation for the cycloidal motions and the dwell by matching velocities and accelerations.
(b) Determine the equation for S as a function of θ for each type of motion. These equations should be written so that the displacement measured from the zero position can be calculated for any cam angle by use of the proper equation.