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A sphere is moving towards the positive ...

A sphere is moving towards the positive `x`-axis with a velocity `v_(c)` and rotates clockwise with angular speed `omega` shown in Fig. such that `v_(c)gtomegaR`. The instantaneous axis of rotation will be

A

on point `P`

B

on point `P'`

C

inside the sphere

D

outside the sphere.

Text Solution

Verified by Experts

The instantaneous axis of rotation will fall on the outside of the sphere. Since in case of pure rotation, instantaneous axis of rotation will be on the centre. In case of pure rolling, instantaneous axis of rotation will be on `P`.
But if `v_(c ) gt omega R`, so instantaneous axis of rotation will fall out of the sphere.
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