Question:

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.

Updated On: Jul 28, 2022
  • 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
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The Correct Option is A

Solution and Explanation

Radius of gyration of a body about a given axis is equal to $K = \frac{\sqrt{r_{1}^{2} +r_{2}^{2} +......r_{n}^{2}}}{n}$ 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.
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Concepts Used:

System of Particles and Rotational Motion

  1. The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
  2. The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.