Problem $3($bonus $+2$ p$.)$

Frame $xyz$ rotates with angular velocity ${}_p($constant$)$

about the $Z$ axis of the inertial frame $xYZ,$ with a spin$-$

ning top that is spinning around its axis of symmetry

$($aligns with $z-$axis$)$ with angular velocity ${}_s($constant$).$

Angle $$ stays constant. In this case the angular velocity

of the spinning top ${}_t={}_{p}sin{u}_y+({}_{p}cos+{}_s)u_z.$

Solve the angular acceleration ${}_t={}_t^{}$ of the spinning

top.

Solution: $={}_s{}_{p}sin{u}_x$