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Q.

A straight thin uniform rod of length 4L and mass 4M is bent into a square. Its M.I about one side is 

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a

Ma23

b

ML248

c

76ML2

d

53ML2

answer is A.

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Detailed Solution

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The length of each side is 4L4=L Now each side has mass of 4M4=M MI of side opposite to the axis is ML2 MI of side along the axis is 0 MI of two sides adjacent to the axis is 2×ML2  3=2ML2 3 So total MI of the system is ML2  +2ML23=5ML23

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