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Q.

An equilateral triangle ABC is fabricated by three identical rods each of mass m and length l. Then the moment of inertia of the triangular frame about an axis passing through vertex A and perpendicular to the plane of the triangular frame is

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a

43ml2

b

34ml2

c

23ml2

d

32ml2

answer is D.

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Detailed Solution

IA=IAB+IBC+IACNow AM=lsin60o=3l2∴ IA=13ml2+112ml2+m3l22+13ml2=23ml2+56ml2=32ml2
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