GATE PH 2023 PH Q41: Classical Mechanics

A symmetric top has principal moments of inertia

about a set of principal axes 1, 2, 3, respectively, passing through its center of mass, where

is a positive constant. There is no force acting on the body and the angular speed of the body about the 3-axis is

rad/s. With what angular frequency in rad/s does the angular velocity vector

precess about the 3-axis?

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