Consider a cam$-$follower displacement with a full SHM rise of $25$ mm over $\backslash$pi rad and then full SHM return over the remaining $\backslash$pi rad. The cam has a prime circle radius R$0$ and rotates at a con$-$ stant speed of $200$ rpm$.$

Knive edge follower:

$($a$)$ Givepolarequationofcamoutliner$(\backslash$theta $)$

$($b$)$ Maximumfolloweracceleration?

Flat face follower:

$($c$)$ Minimumprimecircleradius,R$0?$

$($d$)$ Minimiumfollowerfacewidth?

$($e$)$ Maximumfolloweracceleration?

Full rise $SHM$

$y=\frac{L}{2}(1-cos(\frac{}{}))$

$\frac{dy}{(d)}=\frac{L}{2}sin(\frac{}{})$

$\frac{d^{2}y}{(d){}^2}=\frac{{}^{2}L}{2{}^2}cos(\frac{}{})$

Full return SHM

$y=\frac{L}{2}(1+cos(\frac{}{}))$

$\frac{dy}{(d)}=-\frac{L}{2}sin(\frac{}{})$

$\frac{d^{2}y}{(d){}^2}=-\frac{{}^{2}L}{2{}^2}cos(\frac{}{})$