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The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its mid-point and perpendicular to its length is I₀ . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is

Options

  1. AI₀+M L^2 / 4
  2. BI₀+2 M L^2
  3. CI₀+M L^2
  4. DI₀+M L^2 / 2

Correct answer

A. I₀+M L^2 / 4

Step-by-step solution

The theorem of parallel axis for moment of inertia. aligned & I=I_ CM +M h^2 & I=I₀+M ( L 2 )^2 aligned I=I₀+ M L^2 4

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