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Question

A circular disc rolls on a horizontal floor without slipping and the centre of the disc moves with a uniform velocity v. Which of the following values of the velocity at a point on the rim of the disc can have

A
v
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B
v
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C
2v
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D
zero
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Solution

The correct options are
A v
C 2v
D zero
Given the velocity of the center of mass of a circular disc rolls on a horizontal floor without slipping is v.So velocity at a point on the rim of the disc will be the vector sum of the velocity of the center of mass and velocity due to circular motion. i.e can have from 0 to 2v.
Therefore, A, C, and D are correct options.

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