Design a four-dwell cam to move a follower of mass= 3 kg from 0 to 40 mm in 40°, dwell for 100°, fall20 mm in 90°, dwell for 20°, fall 10 mm in 30°, dwell for 40°, fall 10 mm in 30°, and dwell for the remainder. The total cycle must take 10 sec. Choose suitable programs for rise and fall to minimize dynamic forces and torques. Size a return spring and specify its preload to maintain contact between cam and follower. Calculate and plot the dynamic force and torque. Assume damping of 0.25 times critical. Repeat for a form-closed cam. Compare the dynamic force, torque, and natural frequency for the form-closed design and the force-closed design.