Follower motion for problem $4$ and $5$

$\backslash$table$[[$interval$,$Initial angle,$\backslash$table$[[$Final$],[$angle$]],$Motion type,Rise$(+)$ or return$(-)],[1,0^0,{100}^0,$Cycloidal,$2\mathrm{.}5$ cm$],[2,{100}^0,{180}^0,$Dwell,$0],[3,{180}^0,{240}^0,$Uniform,$-1\mathrm{.}0$ cm$],[4,{240}^0,{360}^0,$Harmonic,$-1\mathrm{.}5$ cm$]]$

For a disc cam to provide the follower motion listed above with a translating roller follower, the diameter of roller $dr=1\mathrm{.}0cm,$ the diameter of base circle $d_b=4\mathrm{.}0cm,$ offset $S=0\mathrm{.}4cm$;

$($a$)$ Employ program Cam Design to find cam profile $($orientation angle $=60,200$ and $270)$

$($b$)$ Use analytical method to find contact points $($Xc$,$ Yc$)$ at $=60,200$ and $270.$ Also check your analytical results with results from $($a$).$