In this passage a brief idea is given of the motion of the rolling bodies on an inclined plane. ...

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In this passage a brief idea is given of the motion of the rolling bodies on an inclined plane. We will consider three cases: objects are released on an incline plane
P
Case-A: which is smooth.
Case-B: where friction is insufficient to provide pure rolling.
W
Case-C: where friction is sufficient to provide pure rolling.
Force diagram for three cases are as follows: (where symbols have their usual meanings)
We have four objects: a solid sphere, a hollow sphere, a ring and a disc, all of same radius. When these are released on an inclined plane, it may happen that all of them do not perform pure rolling. But from the information of pure rolling, if one object can be confirmed to be purely rolling then it can be said that rest all will perform pure rolling. This object whose pure rolling confirms pure rolling of all other objects is
(1) hollow sphere
(2) solid sphere
(3) ring
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