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An object of mass M = 5.00 kg is attached to a spring with spring constant...

An object of mass M = 5.00 kg is attached to a spring with spring constant k = 1380 N/m whose unstretched length is L = 0.130 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ? = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s as shown. (Figure 1)When solving this problem use an inertial coordinate system, as drawn here.

Q. Given the angular speed of ? = 5.00 radians/s , find the radius R(?) at which the mass rotates without moving toward or away from the origin.

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