A circular wire frame of radius R is rotating about its fixed vertical diameter A bead on the wire remains at rest relative to

Question

A circular wire frame of radius R is rotating about its fixed vertical diameter A bead on the wire remains at rest relative to the wire at a position in which the radius makes an angle with the vertical see figure There is no friction between the bead and the wire frame Prove that the bead will perform SHM in the reference frame of the wire if it is displaced a little from its equilibrium position Calculate the time period of oscillation 0 R

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