A solid, horizontal cylinder of mass 9.0 kg and radius 1.30 mrotates with an angular speed of 6.00 rad/s about a fixed verticalaxis through its center. A 0.250 kg piece of putty is droppedvertically onto the cylinder at a point 0.900 m from the center ofrotation, and sticks to the cylinder. Determine the final angular speed of the system.