Difficult
Three particles of mass $m$ each are placed at the vertices of an equilateral triangle $ABC$ of side length $\ell$. What is the moment of inertia of the system about the axis $AX$ passing through vertex $A$ and perpendicular to side $AB$ in the plane of the triangle?
- A$2m\ell^2$
- B$\frac{5}{4}m\ell^2$
- C$\frac{3}{2}m\ell^2$
- D$\frac{3}{4}m\ell^2$
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