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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

The radius of gyration of a uniform thin rod of length \( L \) about an axis perpendicular to the rod and passing through its midpoint is:

  1. \( \frac{L}{\sqrt{6}} \)
  2. \( \frac{L}{\sqrt{3}} \)
  3. \( \frac{L}{2} \)
  4. \( \frac{L}{2\sqrt{3}} \)

Correct answer · Option 4

\( \frac{L}{2\sqrt{3}} \)

Explanation

\( I = \frac{M L^2}{12} = M k^2 \implies k = \frac{L}{\sqrt{12}} = \frac{L}{2\sqrt{3}} \).
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