Question

An object of mass M = 4.00 kg is attached to a spring with spring constant k = 1100 N/m whose unstretched length is L = 0.150 mm , and whose far end is fixed to a shaft that is rotating with an angular speed of (ω) omega = 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. (Figure 2)

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.

Answer 1