Continue the problem from Homework $8$ with the following.

$($a$)$ Generate computer plots for $y^{\text{'}}{y}^{\text{'}},$ and $y^{\text{'}\text{'}}$ versus $,$ using an increment no bigger than $5$ degrees.

$($b$)$ Assume a reciprocating roller follower with a $0\mathrm{.}6$ in radius is to be used with the plate cam. Determine suitable values for the prime circle radius and eccentricity to minimize cam size, while keeping the magnitude of the pressure angle less than $20,$ and the magnitude of the cam pitch curve radius of curvature greater than $2\mathrm{.}0$ inches. Generate plots of the pressure angle, cam radius of curvature, and the cam pitch curve.

Here are values for Betas and Ls that you should have obtained from Homework $8.$

$L1=6\mathrm{.}8$ in

$L2=0$ in

$L3=2\mathrm{.}34$ in

L$4=1$ in

$L5=3\mathrm{.}46$ in

Betal$=3\mathrm{.}52$ rad

Beta$2=0\mathrm{.}44$rad

Beta$3=0\mathrm{.}98$rad

Beta$4=0\mathrm{.}21$ rad

Beta$5=1\mathrm{.}14$ rad