A sphere is moving towards the positive \(x\)-axis with a velocity \(v_{c}\) and rotates clockwise with…
A sphere is moving towards the positive \(x\)-axis with a velocity \(v_{c}\) and rotates clockwise with angular speed \(\omega\) as shown in figure, such that \(v_{c} > \omega R\). The instantaneous axis of rotation will be
on point \(P\)
on point \(P^{\prime}\)
inside the sphere
outside the sphere
Solution
The instantaneous axis of rotation will fall on the outside of the sphere. Since in case of pure rotation, the instantaneous axis of rotation will be on the centre. In case of pure rolling, the instantaneous axis of rotation will be on P. But if \(\mathrm{v}_{\mathrm{c}} > \omega \mathrm{R}\), then the instantaneous axis of rotation will fall out of the sphere.
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Asked in: JEE Mains - Rotational Motion - Chapter Test
