The uniform circular disk of 4 -in. radius and small thickness weighs 8 lb and is spinning about its $y^{\prime}$ axis at the rate $N=300$ rev/min with its plane of rotation tilted at a constant angle $\beta=20^{\circ}$ from the vertical $x-z$ plane. Simultaneously, the assembly rotates about the fixed $z$ -axis at the rate $p=60$ rev/min. Calculate the angular momentum $\mathbf{H}_{O}$ of the disk alone about the origin $O$ of the $x-y-z$ coordinates. Also calculate the kinetic energy $T$ of the disk.