Four identical thin rods each of mass and length , form a square frame. Moment of inertia of this frame about an axis through the centre of the square and perpendicular to its plane is:
Let us consider one of the four rods. The moment of inertia of a thin rod of mass and length about an axis passing through its own centre of mass and perpendicular to its length is . The perpendicular distance from the centre of the square to the centre of each rod is . According to the parallel axis theorem, the moment of inertia of one rod about the axis passing through the centre of the square and perpendicular to its plane is: Since the square frame consists of 4 identical rods, the total moment of inertia of the frame is:
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