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?????? it\'s wrong? Spinning Mass on a Spring Part A Given the angular speed w,

ID: 1395828 • Letter: #

Question

?????? it's wrong?

Spinning Mass on a Spring Part A Given the angular speed w, find the radius R(u) at which the mass rotates without moving toward or away from the origin An object of mass M is attached to a spring with spring constant k whose unstretched length is L, and whose far end is fixed to a shaft that is rotating with angular speed w. Neglect gravity and assume that the mass rotates with angular speed as shown. (Figure 1) When solving this problem use an inertial coordinate system, as drawn here. (Figure 2) Express the radius in terms of k. L. M. and w MasteringPhysics: Assignment #6 a https://session.masteringphysics.com/myct/itemView?mode-myAnswers&assignme; Submitted Answers ANSWER 1: Deduction:-3% kL Figure 1 of 2 The correct answer does not depend on: Mw ANSWER 2: Deduction:-3% kL The correct answer does not depend on: Mw Return to Current Itemm

Explanation / Answer

when the spring is rotating the spring stretches by a length R-L


the elastic force F = k*(R - L)=

the centripetal force acting = Fc = M*R*w^2


Fc = Fe

M*R*w^2 = K*(R-L)


M*R*w^2 = k*R - k*L


K*R - M*R*w^2 = K*L


R*(K - M*w^2) = K*L

R = KL/(K-Mw^2)

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