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

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

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

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