A top of mass M spins with angular speed !s about its axis. The moment of inertia of the top about its spin axis is I0. The top is in an elevator, with its tip held to the elevator oor by a frictionless pivot. The center of mass of the top is a distance l away from the pivot point. The axis is inclined at an angle w.r.t. the vertical and the top is undergoing uniform precession. Find the precession rate in each of the following cases: (a) The elevator is at rest. (b) The elevator accelerates down at rate 2g.
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