A cycloidal displacement cam is to be designed with the following specifications:

rise $,12mm$ in $90$

dwell at $12$ mm displacement for $90$

fall $12$ mm in $180$

cam $,2ra\frac{d}{s}$

The peak velocity and peak acceleration of the follower are:

a$)15\mathrm{.}3m\frac{m}{s},30\mathrm{.}6m\frac{m}{s^2}$

b$)12\mathrm{.}0m\frac{m}{s},24\mathrm{.}0m\frac{m}{s^2}$

c$)12\mathrm{.}0m\frac{m}{s},30\mathrm{.}6m\frac{m}{s^2}$

d$)7\mathrm{.}6m\frac{m}{s},7\mathrm{.}6m\frac{m}{s^2}$

$U_{\text{m}\text{a}\text{x}}=\frac{h}{}(1-(-1))=\frac{2h}{}=1$

$a_{\text{m}\text{a}\text{x}}=2\frac{h}{2}=2(12)=81$