Problem $2$: For the mechanism shown below, determine

a$.$ The speed of point $C$ as a function of ${}_2$

b$.$ The magnitude of the relative velocity of $B_4$

with respect to $B_2$ as a function of ${}_2$

c$.$ The magnitude of the sliding acceleration of

$B_4$ with respect to $B_2$ as a function of ${}_2$

d$.$ The maximum magnitude of the sliding

velocity of $B_4$ with respect to $B_2$ during a

complete rotation of link $2,$ and the

corresponding value$($s$)$ of ${}_2$ where this

takes place $($Hint: use the expression from

part $($c$)$ to determine the value$($s$)$ of ${}_2$

where the sliding acceleration is zero$)$

Use a complex number approach

$r_{O_{2}B}=1\mathrm{.}5in$

${}_2^{}=75rpmCW($ constant $)$