Problem 1.259

In the arrangement shown in Fig. 1.65 a weight \(A\) possesses mass \(m\). a pulley \(B\) possesses mass \(M\). Also known are the moment of inertia \(I\) of the pulley relative to its axis and the radii of the pulley \(R\) and \(2 R .\) The mass of the threads is negligible. Find the acceleration of the weight \(A\) after the system is set free.