$(2)$

The uniform slender pole undergoes plane motion with the velocity and acceleration of point A shown in the figure. The angular velocity $$ of the pole is constant at $1ra\frac{d}{s}.$

$($a$)$ Locate the instantancous center of zero velocity IC

$($b$)$ Calculate the acceleration a IC ${?}^{ofIC(rectangular\text{c}\text{o}\text{o}\text{r}\text{d}\text{.})}$

$($c$)$ Calculate the radius of gyration $K_{IC}$ of the pole about IC