A cylindrical rod of length 2.0 m, radius 0.5 m, and mass 1.7 kg has two spheres attached on its ends. The centers of the spheres are 1.0 m from the center of the rod. The mass of each sphere is 0.68 kg. The rod is capable of rotating about an axis passing through its center and perpendicular to the plane of the page, but the set up is stationary to begin with.
A small mass of value 0.15 kg moving with a velocity v = 2.3 m/s strikes the bottom mass of the dumbbell and sticks to it. At the same instant, a second mass of equal value but moving with twice the velocity strikes the top mass of the dumbbell and sticks to it. The entire system starts to rotate. Determine the magnitude and direction of the angular velocity of the system after the collision. Treat the two moving masses and the masses at the end of the rod like point particles.
