An object of mass M = 2.00 kg is attached to a spring with spring constant k = 550 N/m whose unstretched length is L = 0.140 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s as shown. Given the angular speed of ω = 5.00 radians/s , find the radius R(ω) at which the mass rotates without moving toward or away from the origin.

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06-11-2022
Physics

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An object of mass M = 2.00 kg is attached to a spring with spring constant k = 550 N/m whose unstretched length is L = 0.140 m , and whose far end is fixed to a shaft that is rotating with an angular speed of ω = 5.00 radians/s . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 radians/s as shown. Given the angular speed of ω = 5.00 radians/s , find the radius R(ω) at which the mass rotates without moving toward or away from the origin.

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