A small object of 0.500 kg moves on the frictionless horizontal table in a circular path of radius 1.00m. The angular speed is 6.28 rad/s. The object is joined to a string of negligible mass which passes via a small hole in the table at the center of the circle. Someone beneath the table starts to pull the string downward to make the circle smaller. When the string will tolerate a tension of no more than 105 N, determine the radius of the smallest possible circle on which the object can move?