A top in the form of a cone is spinning about its symmetry a

A top in the form of a cone is spinning about its symmetry axis at a rate Psi while processing about the vertical axis at a rate phi. Assume that the nutation angle theta is constant. Assume that the moments of inertia of the top about the symmetric and the transverse axes are given by I_s and I_t respectively about the center of mass C. Given that the floor on which the top is processing is smooth, find a relationship between the spin rate and the precession rate. How does the answer change if you were told now that the floor had friction, and the top was processing with its vertex 0 fixed?

Solution

Spin=4times pression rate

2nd spin rate= 1.5 times precision rate

From the given data.