The thin circular disk of radius $r=135mm$ is rotating about its $z-$axis with a constant angular velocity $p=41ra\frac{d}{s},$ and the yoke in which it is mounted rotates about the $x-$axis through $OB$ with a constant angular velocity ${}_1=3\mathrm{.}5ra\frac{d}{s}.$ Simultaneously, the entire assembly rotates about the fixed $Y-$axis through $O$ with a constant angular velocity ${}_2=2\mathrm{.}3ra\frac{d}{s}.$ Determine the kinetic energy $T$ and the angular momentum $H_O$ with respect to $O$ of the disk for the instant represented, when the $x-y$ plane coincides with the $x-Y$ plane. The mass of the disk is $m=4\mathrm{.}1kg$ and the distance $b$ is $270$ mm $.$