Prob $2.$

A cam drive is used for a mechanism that packs stuffing into shipping boxes. The cam follower must rise outward $1$ in $.$ with cycloidal motion in $1\mathrm{.}5$ s $,$ fall $1$ in $.$ with cycloidal motion in $1$ s $,$ dwell for $0\mathrm{.}5$ 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. Also calculate the maximum velocity and acceleration of the follower.