A round uniform body of radius , mass and moment of inertia , rolls down (without slipping ) an inclined plane making an angle with the horizontal. Then its acceleration is |
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a) |
b) |
c) |
d) |

A round uniform body of radius , mass and moment of inertia , rolls down (without slipping ) an inclined plane making an angle with the horizontal. Then its acceleration is |
||||||||

a) |
b) |
c) |
d) |

1 Answer

127 votes

**(a)**

Assuming that no energy is used up against friction, the loss in potential energy is equal to the total gain in the kinetic energy.

Thus,

or

or

If be the distance covered along the plane,

Now,

or

127 votes

127