Problem

Consider the collision of two rigid bodies A and B, which, referring to Example 8.10 on p....

Consider the collision of two rigid bodies A and B, which, referring to Example 8.10 on p. 635, models the docking of the Space Shuttle (body A) to the International Space Station (body B). As in Example 8.10, we assume that B is stationary relative to an inertial frame of reference and that A translates as shown. In contrast to Example 8.10, here we assume that A and B join at point Q but, due to the flexibility of the docking system, can rotate relative to one another. Determine the angular velocities of A and B right after docking if υ0 = 0.03 m/s. In solving the problem, let C and D be the centers of mass of A and B, respectively. In addition, let the mass and mass moment of inertia of A be mA = 120 × 103 kg and IC = 14 × 106 kg·m2, respectively, and the mass and mass moment of inertia of B be mB = 180 × 103 kg and ID = 34 × 106 kg·m2, respectively. Finally, use the following dimensions: ℓ = 24 m, d = 8 m, ρ = 2.6 m, and δ = 2.4 m.