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Q.

Four identical thin rods each of mass M and length l, from a square frame. Moment of inertia of this frame about an axis through the center of the square and perpendicular to its plane is:

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a

43ML2

b

23ML2

c

133ML2

d

13ML2

answer is B.

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Detailed Solution

Question Image

Moment of inertia of rod A about given axis, IA

so, IA+IC+Md2

IA=Ml212+Ml22=Ml212+Ml24

IA=Ml23 so, I=4×IA=43Ml2

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