A small object of mass m1 moves in a circular path of radius r on a frictionless horizontal tabletop. It is attached to a string that passes through a frictionless hole in the center of the table. A second object with a mass of m2 is attached to the other end of the string. Derive an expression for r in terms of m1, m2, and the time T for one revolution. (Use any variable or symbol stated above along with the following as necessary: g.)
The Attempt at a Solution
Not really sure of even where to start here. I drew FBD for both objects but I'm not sure where that even gets me.