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Q.

Three point-masses m are placed at the vertices of an equilateral triangle of side L Moment of inertia of thesystem about an axis COD passing through a mass m at O and lying in the plane AOB and perpendicular to OA   as shown in the figure is

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a

2mL2

b

23mL2

c

54mL2

d

74mL2

answer is C.

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Detailed Solution

ICOD=Σmr2=mAL2+mBLcos⁡60∘2=mL2+mL2/4=(5/4)mL2
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