A rotating uniform-density disk of radius 0.8 m is mounted in the vertical plane. The axle is held up by supports that are not shown, and the disk is...

A rotating uniform-density disk of radius 0.8 m is mounted in the vertical plane. The axle is held up by supports that are not shown, and the disk is free to rotate on the nearly frictionless axle. The disk has mass 3.4 kg. A lump of clay with mass 0.5 kg falls and sticks to the outer edge of the wheel at location A, < -0.56, 0.571, 0 > m. Just before the impact the clay has a speed 8 m/s, and the disk is rotating clockwise with angular speed 0.62 radians/s.Just after impact what is the angular velocity of the wheel?