{10%) Problem 9: A uniform rod of mass Mg and length L is free to rotate about an axis at one end. A small sphere with mass Misphere 15 attached to the other end of the rod. The rod makes an angle with vertical and is released from rest. Axis Mo Msphere = $& 33% Part (a) Determine an expression for the difference in potential energy of the system before the rod is released and the system when the sphere is at its lowest point. Your answer will be in terms of Msphere, Mrod, L and g. Kb Grade Summary = Deductions 0% Potential 100% cos(a cos cos(6 )| 7 | 8 | 9 | HOME os(e) 0s(9) ) ( | Submissions sin(ct) sin() sin(0) R 4 | 5 Attempts remaining: 293 0 b g (| o= | 12 (0% per attempt) detailed view L | ey | Mape | +]-] 0 | a0 1 0% n q X V)| BAcksPacE | om | crEaR 3 0% 3 0% Submit Hint | Feedback | Igiveup! 5 0% Hints: 0% deduction per hint. Hints remaining: 2 Feedback: 3 fora 0% deduction No meaningful feedback available for the current submission. [ 4y 33% Part (b) Asthe system swings through the point where the rod is vertical, its angular speed is . Determine an expression for the rotational kinetic energy of the system as it moves through this point. Your answer will be in terms of Msphere , Mrod, L and . [ 4y 33% Part (c) Determine an expression for the angular speed at the bottom of the swing