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MHT CET202123 Sep 2021Evening ShiftPhysicsRotational MotionActual

Three solid spheres each of mass ' M ' and radius ' R ' are arranged as shown in the figure. The moment of inertia of the system about YY' will be

Options

  1. A16 5 MR ^2
  2. B21 5 MR ^2
  3. C7 5 MR ^2
  4. D11 5 MR ^2

Correct answer

A. 16 5 MR ^2

Step-by-step solution

Moment of inertia of the upper sphere = 2 5 MR ^2 For each lower sphere M.I. = 2 5 MR ^2+ MR ^2= 7 5 MR ^2 Total moment of inertia I = 2 5 MR ^2+2 7 5 MR ^2= 16 5 MR ^2

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