Design a follower displacement profile for a double-dwell (RDFD) cam, with these performance specifications: Machine cycle is 5 seconds. Rise from 0 to 30 mm in 60 degrees. Dwell for 60degrees. Fall from 30 mm back to zero in 60 degrees. Dwell for the remainder of the machine cycle. You may use any profile that satisfies the fundamental law of cam design. Write equations for follower displacement (s) as a function of cam angle (θ) for each of the four segments of the cam.