Two 1.70 kg balls are attached to the ends of a thin rod of length 70.0 cm and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its center. With the rod initially horizontal (the figure), a 32.0 g wad of wet putty drops onto one of the balls, hitting it with a speed of 1.56 m/s and then sticking to it. (a) What is the angular speed of the system just after the putty wad hits