A sphere moving at some instant with horizontal velocity $v_{c}$ in right and angular velocity in the anti-clockwise sense. If $= | v_{c} | = | R |$ . The instantaneous center of rotation is :

at the bottom of the sphere

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at the top of the sphere

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at the centre of the sphere

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any where inside the sphere

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Solution

The correct option is B at the top of the sphere
Any rotation is a motion of a certain space that preserves at least one point, called center o rotation. A clockwise rotation rotation has a positive magnitude while an anticlockwise turn has a negative magnitude. So, due to horizontal velocity $V_{c}$ in right and anticlockwise sense in angular velocity, the instantaneous center of rotation is at the top of the sphere.
Hence, the answer is at the top of the sphere.

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A sphere moving at some instant with horizontal velocity vc in right and angular velocity in the anti-clockwise sense. If =|vc|=|R| . The instantaneous center of rotation is :

A sphere moving at some instant with horizontal velocity $v_{c}$ in right and angular velocity in the anti-clockwise sense. If $= | v_{c} | = | R |$ . The instantaneous center of rotation is :