Radius of gyration (k) of a body is not dependent on

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ISRO VSSC Technical Assistant Mechanical 14 July 2021 Official Paper
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  1. Shape of the body
  2. Mass of the body
  3. Position of the axis of rotation
  4. Size of the body

Answer (Detailed Solution Below)

Option 2 : Mass of the body
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Explanation:

The radius of gyration (k) of a body is a measure of how the mass of the body is distributed around an axis of rotation. It is defined as the square root of the ratio of the moment of inertia of the body to its mass.

\(k = \sqrt{\frac I m}\)

The radius of gyration depends on the shape of the body, the position of the axis of rotation, and the size of the body. It is independent of the mass of the body. The moment of inertia (I) takes into account the mass distribution and the distance of the mass elements from the axis of rotation, while the radius of gyration reflects how this distribution is spread out.

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