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Question

Any point on the circumference of a rigid body which is rolling without slipping undergoes :

A
a circular path
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B
an elleptic path
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C
a cycloid path
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D
an parabolic path
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Solution

The correct option is C a cycloid path
Any point on the rigid body, undergoing rolling without slipping, will have linear and angular speed, such that
linear speed=distance from CoM×angular speed

Such particles follows cycloid path.

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