일반물리학 1 — Rolling, Torque, and Angular Momentum: Problem 68

68 A top spins at 25 rev/s about an axis that makes an angle of 30° with the vertical. The mass of the top is 0.50 kg, its rotational inertia about its central axis is \(5.0 \times 10^{-4} \text{ kg} \cdot \text{m}^2\), and its center of mass is 4.2 cm from the pivot point. If the spin is clockwise from an overhead view, what are the (a) precession rate and (b) direction of the precession as viewed from overhead?