Spinning mass on a spring?

An object of mass M = 2.00kg is attached to a spring with spring constant k = 198N/m whose unstretched length is L = 0.180m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 3.00radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of... show more An object of mass M = 2.00kg is attached to a spring with spring constant k = 198N/m whose unstretched length is L = 0.180m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 3.00radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 3.00radians/s. When solving this problem use an inertial coordinate system.

1) Given the angular speed of ω = 3.00radians/s , find the radius R(ω) at which the mass rotates without moving toward or away from the origin.

2)Assume that, at a certain angular speed ω2, the radius R becomes twice L. Find ω2.

Express your answer in radians per second.
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