The spacecraft in Figure 11.35 is of mass m shaped as a cylindrical rod of length L and radius R = L/6. It is moving with velocity of v0 in the x direction and also spinning about the x axis with...

The spacecraft in Figure 11.35 is of mass m shaped as a cylindrical rod of length L and radius R = L/6. It is moving with velocity of v0 in the x direction and also spinning about the x axis with angular velocity ω = v0/50L. A meteorite of mass m/80 traveling with velocity v = −v0/3j+v0/5k impacts the spacecraft and miraculously gets lodged onto point O, without damaging the spacecraft. Calculate the angular velocity and velocity of point O immediately after impact.