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Question

In a rotational motion of a rigid body, all particles move with _____.

A
different linear velocities and different angular velocities
B
same linear velocity and different angular velocity
C
different linear velocities and same angular velocities
D
same linear velocity and same angular velocity
Solution
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Correct option is C. different linear velocities and same angular velocities
In rotational motion of the rigid body, all the particles cover the same angular displacement in a particular interval. So, the angular velocities of all the particles will be the same.
But the linear velocity is also dependent on the distance of particles from axis of rotation. So, linear velocities will be different for all particles as the distances are different for all particles..
Option (C) is correct.

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