Tough physics problem?

An object of m M = 3.00 kg is attached to a spring with spring constant k = 825 N/m whose unstretched length is L = 0.120 m, and whose far end is fixed to a shaft that is rotating with an angular speed of w = 5.00 radians/s. Neglect gravity and ume that the m also rotates with an angular speed of 5.00 radians/s. Given the angular speed of w = 5.00 radians/s, find the radius R(w) at which the m rotates without moving toward or away from the origin. Express your answer in meters.