PROBLEM $2$

A cam with translating follower as shown above on the left is to produce the motion shown in the figure above on the right. The cam is to operate at a constant speed of $1720$ rpm$.$

The cam motion is to be of the $3-4-5$ polynomial type.

a$)$ What is the displacement of the follower at cam angle $=20?$

b$)$ What is the acceleration at a cam angle of $=30?$