Serway & Jewett — Angular Momentum: Problem 48

A solid cube of wood of side \(2a\) and mass \(M\) is resting on a horizontal surface. The cube is constrained to rotate about a fixed axis \(AB\) (Fig. P11.48). A bullet of mass \(m\) and speed \(v\) is shot at the face opposite \(ABCD\) at a height of \(4a/3\). The bullet becomes embedded in the cube. Find the minimum value of \(v\) required to tip the cube so that it falls on face \(ABCD\). Assume \(m \ll M\).