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.
If both assertion and reason are true and reason is the correct explanation of assertion
If both assertion and reason are true but reason is not the correct explanation of assertion
If assertion is true but reason is false
If both assertion and reason are false
If both assertion and reason are true and reason is the correct explanation of assertion
Solution
Radius of gyration of a body about a given axis is equal to K=nr12+r22+......rn2 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.