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Three particles, each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side l cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-cm² units will be
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3 Ml² 2 -
3 Ml² 4 - 2Ml²
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5 Ml² 4
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Correct Option: D
IAX = m(AB)² + m(OC)²
= ml² + m (l cos 60º)²
= ml² + ml²/4 = 5/4 ml²