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AP EAMCET202422 May 2024Morning ShiftPhysicsRotational MotionActual

The moment of inertia of a rod about an axis passing through its centre and perpendicular to its length is 1 12 M L^2 , where M is the mass and L is the length of the rod. The rod is bent in the middle so that the two halves make an angle of 60^ . The moment of inertia of the bent rod about the same axis would be

Options

  1. A1 48 M L^2
  2. B1 12 M L^2
  3. C1 24 M L^2
  4. D1 8 3 M L^2

Correct answer

B. 1 12 M L^2

Step-by-step solution

The moment of inertia of bend rod is aligned & I = 1 3 ( M 2 ) ( L 2 )^2+ 1 3 ( M 2 ) ( L 2 )^2 & = 1 24 ML ^2+ 1 24 ML ^2= 1 12 ML ^2 aligned

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