Design a cam-follower mechanism that rises 1.0 inch in 1.75 sec, dwell for 0.75 sec, fall 0.5 inch in 0.75 sec, dwell for 0.5 sec, and fall 0.5 inch in 1.0 sec. Assume a cycloidal motion to design the cam, and use a knife-edge follower type. Using Matlab software (a) plot the follower s-v-a-j diagram, and (b) plot the cam shape. Submit your detailed work with plots