Handle the putty wad with care!

The \(2.00 kg\) balls are attached to the ends of a thin rod of length \(50.0 cm \) and negligible mass. The rod is free to rotate in a vertical plane without friction about a horizontal axis through its centre . With the rod initially horizontal, a \(50.0 g\) wad of wet putty drops onto one of the balls, hitting it with a speed of \(3.00 m/s\) and then sticking to it. Through what angle (in degrees) will the system rotate before it momentarily stops?


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