$15\mathrm{.}148$ and $15\mathrm{.}149$ Pin $P$ is attached to the wheel shown and slides in a slot cut in bar $BD.$ The wheel rolls to the right without slipping with a constant angular velocity of $20ra\frac{d}{s}.$ Knowing that $x=480mm$ when $=$ Q$.$ determine the angular velocity of the bar and the relative velocity of pin $P$ with respect to the rod for the given data.

$15\mathrm{.}148($a$)=0,($b$)=90.$

$15\mathrm{.}149,=30.$