Problem $5/24$

The concrete pier $P$ is being lowered by the pulley$-$and$-$cable arrangement shown. If points A and $B$ have velocities of $0\mathrm{.}4\frac{m}{s}$ and $0\mathrm{.}2\frac{m}{s},$ respectively, compute the velocity of $P,$ the velocity of point $C$ for the instant represented, and the angular velocity of the pulley.

$($Please show your steps and wirte the explenation$)$