A solid cylinder (I = 1/2 MR^2) having mass 4.00 kg and radius .650m rotates with angular speed of 7.00 rad/s around its axis. The rotation axis is vertical. A piece of putty of 0.430 kg is dropped vertically to the cylinder at a point 0.570 m from the center of rotation and sticks to the cylinder. Determine the final angular speed of the system?