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Four identical rods are joined end to end to form a square. The mass of each rod is M. The moment of inertia of the system about one of the diagonals is

a
2Ml23
b
13Ml23
c
Ml26
d
13Ml26

detailed solution

Correct option is A

The moment of inertia about CM system perpendicular to plane is Iz=4ml212+ml22=43Ml2From perpendicular axis theorem,43Ml2=Id1+Id2 due to symmetry , Id1=Id2=Id⇒Id=23Ml2

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