Serway & Jewett — Angular Momentum: Problem 50

A solid cube of side \(2a\) and mass \(M\) is sliding on a frictionless surface with uniform velocity \(\vec{v}\) as shown in Figure P11.50a. It hits a small obstacle at the end of the table that causes the cube to tilt as shown in Figure P11.50b. Find the minimum value of the magnitude of \(\vec{v}\) such that the cube tips over and falls off the table. Note: The cube undergoes an inelastic collision at the edge.