Question:

The figure shows a uniform circular disk with angular velocity components ${}_1=3ra\frac{d}{s},$

${}_2=5ra\frac{d}{s},$ and ${}_3=8ra\frac{d}{s}.$ Determine the kinetic energy $T$ and the angular

momentum $H_O$ of the disk with respect to point $O$ at the instant when the x$-$y plane coincides

with the X$-$Y plane. The disk has a mass of $m=10kg,$ a radius of $r=0\mathrm{.}2m,$ and the

distance $b=1m.$