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Four point masses, each of value m, are placed at the corners of a square ABCD of side l. The moment of inertia of the system about an axis passing through A
and parallel to BD is

a
2ml2
b
3ml2
c
3ml2
d
ml2

detailed solution

Correct option is C

IXX′=m(DP)2+m(BQ)2+m(CA)2=m22l2+m22l2+m(2l)2=ml22+ml22+2ml2=3ml2

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Three point masses, each of m, are placed at the corners of an equilateral triangle of side l. Then the moment of inertia of this system about an axis along one side of the triangle is


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