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An object of mass MM = 3.00 kgkg is attached to a spring with spring constant...

An object of mass MM = 3.00 kgkg is attached to a spring with spring constant kk = 33.0 N/mN/m whose unstretched length is LL = 0.140 mm , and whose far end is fixed to a shaft that is rotating with an angular speed of ωω = 1.00 radians/sradians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 1.00 radians/sradians/s as shown. (Figure 1)When solving this problem use an inertial coordinate system, as drawn here.

Given the angular speed of  ωω = 1.00 radians/sradians/s , find the radius R(ω)R(ω) at which the mass rotates without moving toward or away from the origin.

Express your answer in meters.

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