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Four thin rods of same mass M and same l...

Four thin rods of same mass M and same length l, form a square as shown in figure. Moment of inertia of this system about an axis through centre O and perpendicular to its plane is

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Moment of inertia of rod AB about point `P=1/12Ml^2`M.1. of rod AB about point`O=(Ml^2)/12+M(L/2)^2=1/3Ml^2`[by the theorem of parallel axis] and the system consists of 4 rods of similar type so by the symmetry `I_(System)=4/3Ml^2`.
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