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When a body is rolling without slipping on a rough horizontal surface, the work done by 'friction is
(a)Always zero
(b)May be zero
(c)Always positive
(d)Always negative

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Important Questions on System of Particles and Rotational Motion
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A solid spherical ball is rolling without slipping down an inclined plane. The fraction of its total energy associated with rotation is

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A solid cylinder of mass M and radius R rolls down the inclined plane from height h without slipping. The speed of its centre of mass when it reaches the bottom is:

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An inclined -plane makes an angle of with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to

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An object slides down a smooth incline and reaches the bottom with velocity . If same mass is in the form of a ring and it rolls down an inclined plane of same height and angle of inclination, then its velocity at the bottom of inclined plane will be

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A swimmer while jumping into river from a height easily forms a loop in air if

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The centre of mass of a body

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A child sitting at the centre of a rotating stool has his arms stretched. If he folds his arms, his angular speed about the axis of rotation,

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The position vector of three particles of masses, and are and respectively. The position vector of their center of mass is,
