Prob $1.$

A cam drive is used for a mechanism that tests the durability of oven doors. The cam follower must rise outward $2$ in $.$ with harmonic motion in $1$ s $,$ dwell for $0\mathrm{.}5$ s $,$ fall $2$ in$.$ with harmonic motion in $1$ s $,$ dwell for $1$ s $,$ and then repeat the sequence.

Determine the speed of the cam and use the motion equations and a spreadsheet to plot displacement, velocity, and acceleration diagrams of the follower. Also calculate the maximum velocity and acceleration of the follower.