Q. A small .500 kg object moves on a frictionless horizontal table in a circular path of radius 1 m. The angular speed is 6.28 rad/s. The object is attached to a string of negligible mass that passes through a small hole in the table at the center of circle. Someone under the table begins to pull the string downward to compose the circle smaller. If the string will tolerate a tension of no more than 105 N, what is the radius of the smallest possible circle on which the object can move?