A rotating uniform-density disk of radius R = 0.55 m and mass M = 6 kg is mounted in the vertical plane. A lump of clay with mass m = 0.5 kg falls and sticks to the outer edge of the wheel at the location A = (-0.5, 0.229129, 0) m (choice of axes: x to the right, y up, z out of the page; origin at the center of the axle). Just before the impact, the clay has speed v0 = 9 m/s, and the disk is rotating clockwise with angular speed w0 = 0.4 rad/s. Just after the impact, what is the angular speed of the combined system of wheel plus clay?