# Pendulum's moment of inertia

**Classical Mechanics**Level 3

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.