Chapter 17.2, Problem 17.83P

A 1.6-kg tube AB can slide freely on rod DE, which in turn can rotate freely in a horizontal plane. Initially, the assembly is rotating with an angular velocity of magnitude to $\omega =5$ rad/s and the tube is held in position by a cord. The moment of inertia of the rod and bracket about the vertical axis of rotation is 0.30 kg $\cdot$ m² and the centroidal moment of inertia of the tube about a vertical axis is 0.0025 kg $\cdot$ m². If the cord suddenly breaks, determine (a) the angular velocity of the assembly after the tube has moved to end E, (b) the energy lost during the plastic impact at E.