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MHT CET2018PhysicsRotational Motion

The moment of inertia of a thin uniform rod of length L and mass M about an axis passing through a point at a distance of L 3 from one of its ends and perpendicular to the rod is

Options

  1. AM L 2 12
  2. BM L 2 9
  3. C7 M L 2 48
  4. DM L 2 48

Correct answer

B. M L 2 9

Step-by-step solution

I C M = M L 2 12 (about middle point) Using parallel axis theorem. ∴ I = I C M + M x 2 = M L 2 12 + M L 6 2 I = M L 2 9

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