PhysicsTwo identical rods each of moment of inertia ‘I’ about a normal axis through centre are arranged in the from of a cross. The M.I. of the system about an axis through centre and perpendicular to the plane of system is

Two identical rods each of moment of inertia ‘I’ about a normal axis through centre are arranged in the from of a cross. The M.I. of the system about an axis through centre and perpendicular to the plane of system is

  1. A

    2I

  2. B

    I

  3. C

    2.5 I

  4. D

    6I

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    Solution:

    Given, the rods are identical, that implies for the cross made of the rods

    Ix=Iy

    If the axes x, y, and z are perpendicular to one another

    I0=I+I=2I

    Hence the correct answer is 2I.

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