Physics System of Particles Rotational Motion Angular Displacement, Velocity and Acceleration,Speed MCQ (Single Correct)

When a solid sphere rolls without slipping down an inclined plane making an angle with the horizontal, the acceleration of its centre of mass is a. If the same sphere slides without friction, its acceleration a’ will be

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The correct answer is:
C

: Acceleration of the solid sphere when it rolls without slipping down an inclined plane is.

For a solid sphere,

…(i)

Acceleration ofj the same sphere when it slides when it slides without friction down an same inclined plane is , …(ii)

Divide (ii) by (i), we get,

or

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