A thin uniform cylindrical turn-table of radius 2.5 m and mass 19 kg rotates in the horizontal plane with the initial angular speed of 9.3 rad/s. The turn-table bearing is friction-less. A clump of clay of mass 5.1 kg is dropped to the turn-table and sticks at a point 1.7 m from the point of rotation.
Determine the angular speed of the clay and turn-table.