A uniform rod of length L1 = 1.9 m and mass M = 3.0 kg is supported by a hinge at one end and is free to rotate in the vertical plane. The rod is released from rest in the position shown. A particle of mass m is supported by a thin string of length L2 = 1.5 m from the hinge. The particle sticks to the rod on contact. After the collision, ?max = 30°. find m? how much energy is dissipated from the collision?