A small 0.480-kg object moves on a frictionless horizontal table in a circular path of radius 9.40 m. The angu?

A small 0.480-kg object moves on a frictionless horizontal table in a circular path of radius 9.40 m. The angular speed is 9.71 rad/s. The object is attached to a string of negligible m that pes through a small hole in the table at the center of the circle. Someone under the table begins to pull the string downward to make the circle smaller. If the string will tolerate a tension of no more than 1300 N, what is the radius of the smallest possible circle on which the object can move?