On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance of 0.605m from the axis of rotation of the stool. She is given an angular velocity of 3.05rad/s , after which she pulls the dumbbells in until they are only 0.205m distant from the axis. The woman's moment of inertia about the axis of rotation is 5.05kg*m^2 and may be considered constant. Each dumbbell has a mass of 5.05kg and may be considered a point mass. Neglect friction.
Part A What is the initial angular momentum of the system?
Part B What is the angular velocity of the system after the dumbbells are pulled in toward the axis?
Part C Compute the kinetic energy of the system before the dumbbells are pulled in.