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AP EAMCET202125 Aug 2021Evening ShiftPhysicsRotational MotionActual

Three thin rods each of length L and mass M are placed along X , Y and Z axes in such a way that one end of each of the rods is at the origin. The moment of inertia of this system about Z-axis is

Options

  1. A2 M L^2 3
  2. B4 M L^2 3
  3. C5 M L^2 3
  4. DM L^2 3

Correct answer

A. 2 M L^2 3

Step-by-step solution

The moment of inertia about Z-axis is given by aligned I & =I_x+I_y+I_z I_x & =I_y= 1 3 M L^2 aligned ( Moment of inertia of a rod of mass M and length L about its one end = M L^2 3 ) I_z=0 , as the rod lies in the Z-axis So, I= M L^2 3 + M L^2 3 +0= 2 M L^2 3

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