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Three point-masses m are placed at the vertices of an equilateral triangle of side L Moment of inertia of the

system 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

a
2mL2
b
23mL2
c
54mL2
d
74mL2

detailed solution

Correct option is C

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

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