The solid cone of mass m, base radius r, and altitude h is spinning at a high rate p abo...

The solid cone of mass m, base radius r, and altitude h is spinning at a high rate p about its own axis and is released with its vertex O supported by a horizontal surface. Friction is sufficient to prevent the vertex from slipping in the x-y plane. Determine the direction of the precession Ω and the period of one complete rotation about the vertical z-axis.