1.A follower is required to rise through a total displacement of 6 inches with half cycloidal motion in 100 of cam rotation and dwell at 6 inches for 60°. Then the follower should return to the zero position with half cycloidal motion in 160° of cam rotation and finally dwell for 40° before repeating the cycle. a. You must select half cycloids that result in a smooth transition across the boundaries. b. Determine the range and Beta for each segment. c. In an Excel spreadsheet determine the heights in each of the above segments for arrange of 0≤0 ≤360° in 10° increments. d. Using Excel plot the above profile 0≤0≤360°