Three particles, each of mass \( m \) are situated at the vertices ...

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Three particles, each of mass \( m \) are situated at the vertices of an equilateral triangle
P \( \mathrm{ABC} \) of side 1 (as shown in the figure).

W
The moment of inertia of the system about a line \( A X \) perpendicular to \( A B \) and in the plane of \( \mathrm{ABC} \), will be:
(1) \( 2 \mathrm{ml}^{2} \)
(2) \( \frac{5}{4} m l^{2} \)
(3) \( \frac{3}{2} m l^{2} \)
(4) \( \frac{3}{4} m l^{2} \)
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