1. The problem statement, all variables and given/known data A uniform rod of length L1 and mass M = 0.75 kg is supported by a hinge at one end and is free to rotate in the vertical plane (Figure). The rod is released from rest in the position shown. A particle of mass m = 0.5 kg is supported by a thin string of length L2 from the hinge. The particle sticks to the rod on contact. What should be the ratio L2/L1 so that θmax = 60o after the collision? 2. Relevant equations Kf − Ki +Uf −Ui = 0 3. The attempt at a solution I used energy concept to get Kf +Uf −Ui = 1/2(1/3ML)ω^2 +MgL1/2 − MgL1 = 0 I do not know where to go from here though and the teacher said there would be a cubic equation.