# Pendulum's moment of inertia

A nearly massless rod $$(XY)$$ of length $$L$$ is pivoted at one end $$X$$ so that it can swing free as a pendulum. Three masses $$A(m),$$ $$B(2m)$$ and $$C(3m)$$ are attached to it at the distances $$\frac{L}{4},$$ $$\frac{L}{3}$$ and $$\frac{L}{2},$$ respectively, from end $$X.$$ The rod is held horizontal and then it is released. Find the moment of inertia of the system about the pivoted end.

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