Angular acceleration

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 angular acceleration of the rod at the instant it is released.

The gravitational acceleration is \( g. \)

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