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MHT CET202020 Oct 2020Evening ShiftPhysicsRotational MotionActual

The moment of inertia of a uniform square plate about an axis perpendicular to its plane and passing through the centre is Ma ² 6 where M is the mass and a ^ ' is the side of square plate. Moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corner is

Options

  1. AMa ² 3
  2. B3 Ma ²
  3. C3 Ma ² 2
  4. D2 Ma ² 3

Correct answer

D. 2 Ma ² 3

Step-by-step solution

I_ o = M a² 6 A B= 2 a² = 2 a A O= a 2 =h I_ A =I_ o +M h²= Ma ² 6 + Ma ² 2 = Ma ²+3 Ma ² 6 = 4 Ma ² 6 = 2 Ma ² 3

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