Problem 4. A small turntable with I = 10 kg m² is rotating at 5 rad/s (see figure on next page).A small piece of clay (assumed to be a point

mass) of mass m = 2 kg is dropped onto the turn table a distance D = 1.5m from the center. The clay sticks to the turntable and both ultimately rotate at the same angular velocity. Determine that final angular velocity and determine the change in kinetic energy due to this process. Additionally, explain why the kinetic energy increased or decreased.Your explanation should be a physical answer, not a mathematical answer.

Fig: 1