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MHT CET202014 Oct 2020Evening ShiftPhysicsRotational MotionActual

A thin uniform rod of length 'L' and mass 'M' is bent at the middle point ' 0 ' at an angle of 45^ as shown in the figure. The moment of inertia of the system about an axis passing through '0' and perpendicular to the plane of the bent rod, is

Options

  1. AML ² 12
  2. BM L² 24
  3. CM L ² 3
  4. DM L² 6

Correct answer

A. ML ² 12

Step-by-step solution

Moment of inertia of each half of the rod about the mid point is given by I₁= M 2 ( L 2 )² 3 = M L² 24 Total moment of inertia = I =2 I ₁= ML ² 12

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