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JEE Main2015PhysicsRotational MotionActual

Consider a thin uniform square sheet made of a rigid material. If its side is a , mass m and moment of inertia I about one of its diagonals, then:

Options

  1. AI = m a 2 24
  2. Bm a 2 24 < I < m a 2 12
  3. CI > m a 2 12
  4. DI = m a 2 12

Correct answer

D. I = m a 2 12

Step-by-step solution

In a uniform square plate due to symmetry moment of Inertia about all the axis passing through centre and lying in the plane of the plate is same. &#8756; &#160; &#160; &#160; &#160; I d i a g o n a l = m a 2 12

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