Chapter 18.1, Problem 18.33P

The coordinate axes shown represent the principal centroidal axes of inertia of a 3000-lb space probe whose radii of gyration are k_x = 1.375 ft, k_y = 1.425 ft, and k_z = 1.250 ft. The probe has no angular velocity when a 5-oz meteorite strikes one of its solar panels at point A with a velocity v₀ = (2400 ft/s)i − (3000 ft/s)j + (3200 ft/s)k relative to the probe. Knowing that the meteorite emerges on the other side of the panel with no change in the direction of its velocity, but with a speed reduced by 20 percent, determine the final angular velocity of the probe.

Fig. P18.33 and P18.34