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Q.

Three particles, each of mass M are situated at the vertices of an equilateral triangle ABC of side L. Find moment of Inertia of system about an axis passing through the centroid and perpendicular to plane of the triangle ABC.

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a

ML2

b

4ML2

c

3ML2

d

2ML2

answer is A.

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Detailed Solution

Distance of centroid from all the particles is L3 . MOI about an axis and passing through centroid  perpendicular to plane of triangle ABC  Ic=3×mL32=mL2

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