Problem 1.190

A smooth horizontal disc rotates with a constant angular velocity $\omega$ about a stationary vertical axis passing through its centre the point $O .$ At a moment $t=0$ a disc is set in motion from that point with velocity $v_{0}$. Find the angular momentum $M(t)$ of the disc relative to the point $O$ in the reference frame fixed to the disc. Make sure that this angular momentum is caused by the Coriolis force.