Frictional torque

A uniform solid right-circular cone of mass \(M\) and radius \(R\) is kept on a rough horizontal floor (coefficient of friction \(\mu\)) on its circular base. It is spun with initial angular velocity \(\omega_{0}\) about its symmetry axis. Neglecting toppling effects (if any), find the time after which it stops spinning.

Details and Assumptions:

  • Take the moment of inertia of the cone about its symmetry axis as \(I\).

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