A top in the form of a cone is spinning about its symmetry axis at a rate �, while precessing about the vertical axis at a rate
�. Assume that the nutation angle � is constant. Assume that the moments of inertia of the top about the symmetric and the transverse axes are given by Is and It respectively about the center of mass C. a) Given that the floor on which the top is precessing is smooth, find a relationship between the spin rate and the precession rate. [30] b) How does the answer change if you were told now that the floor had friction, and the top was precessing with its vertex O fixed?
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