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Q.

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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a

$\frac{3}{2} {ml}^{2}$

b

$\frac{5}{4} {ml}^{2}$

c

2 ml²

d

$\frac{3}{4} {ml}^{2}$

answer is B.

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Detailed Solution

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$I_{AX} = {ml}^{2} + m (l / 2)^{2} + m (0)^{2} = \frac{5}{4} {ml}^{2}$

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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 :