A child buys a top composed of a thin uniform cylinder and a broad uniform disk. The 13.2 g cylinder has a total length of 6.20 cm. The 44.0 g disk has a radius of 2.40 cm, and its Macmillan Learning center of mass is located a distance of 1.96 cm from the tip at the bottom of the thin cylinder. The child places the top on its pedestal and gives it an angular speed of 75.5 rad/s. When she turns to show her parents, she accidentally bumps the top, which begins to precess about a vertical axis through the point where the top contacts the pedestal. As the top precesses, it makes an angle d = 21.6' with the vertical axis. Determine the precessional angular speed mo of the top. Use g = 9.81 m/s-for the acceleration due to gravity, and assume that the moment of inertia of the thin cylinder is negligible