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Question

Physics Question on System of Particles & Rotational Motion

Value of radius of gyration of a uniform rigid body depends on axis of rotation. Radius of gyration is root mean square distance of particles of the body from the axis of rotation.

A

If both assertion and reason are true and reason is the correct explanation of assertion

B

If both assertion and reason are true but reason is not the correct explanation of assertion

C

If assertion is true but reason is false

D

If both assertion and reason are false

Answer

If both assertion and reason are true and reason is the correct explanation of assertion

Explanation

Solution

Radius of gyration of a body about a given axis is equal to K=r12+r22+......rn2nK = \frac{\sqrt{r_{1}^{2} +r_{2}^{2} +......r_{n}^{2}}}{n} It thus depends upon shape and size of the body, position and configuration of the axis of rotation and also on distribution of mass of body w.r.t. the axis of rotation.