I need help with part b. assume that, at a certain. angular speed W2, the radius

Question

I need help with part b. assume that, at a certain. angular speed W2, the radius R becomes twice L. find W2.
R (w) =0.132m

An object of mass M=5.00kg is attached to a spring with spring constant k=880N/m whose unstretched length is L=0.120 m, whose far end is fixed to a shaft that is rotating with an angular speed of w = 4.00 radians/s. Neglect gravity and assume that the mass also rotates with an angular speed of 4.00 radians/s as shown. (Figure 1) When solving this problem use an inertial coordinate system, as drawn here. (Figure 2) without moving toward or away from the origin. Express your answer In meters. R(w)=0.132 m Part B Assume that, at a certain angular speed w2, the radius R becomes twice L. Find w2. Express your answer in radians per second. w2= randians/s

Explanation / Answer

In Part B,

kx = m w^2 (2L)

As the unstretched length is L, then the amount of stretch to make it 2L is L. Thus, x = L,

kL = m w^2 (2L)

Solving for w,

w = sqrt (k / 2m)

= 9.38 rad/s   [ANSWER]

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