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MHT CET202411 May 2024Evening ShiftPhysicsRotational MotionActual

Four thin metal rods each of mass ' M ' and length ' L ', are welded end to end to form a square. The moment of inertia of the system about an axis passing through the centre of the square and perpendicular to its plane is

Options

  1. AML ^2 3
  2. B2 ML ^2 3
  3. C2 ML ^2 9
  4. D4 ML ^2 3

Correct answer

D. 4 ML ^2 3

Step-by-step solution

Moment of inertia of the system about an axis passing through O aligned I ₀ & =4 [ MI of rod + m ( ~L 2 )^2 ] & =4 [ ML ^2 12 + ML ^2 4 ] & = 4 3 ML ^2 aligned

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