In the following sketch, the disk cam is used to position the radial flat-faced follower in a computing mechanism.

In the following sketch, the disk cam is used to position the radial flat-faced follower in a computing mechanism. The cam profile is to be designed to give a follower displacement S for a counterclockwise cam rotation according to the function S=k2 starting from dwell. For 60 cam rotation from the starting position, the lift of the follower is 10 mm. For the next 60 cam rotation back to the starting position and the dwell will cover the rest 240cam rotation. From the starting position, the lift of the follower is 10 mm. By analytical methods, determine the distances R and l when the cam has been turned 45 from the starting position. Also calculate whether cusps in the cam profile would occur in the total cam rotation of 60.Print out the entire cam surface design with a Matlab code implementation.