An object of mass M= 4.00 is attached to a spring with spring constant k= 1100 w

Question

An object of mass M= 4.00 is attached to a spring with spring constant k= 1100 whose unstretched length is L = 0.190 , and whose far end is fixed to a shaft that is rotating with an angular speed of w= 5.00 . Neglect gravity and assume that the mass also rotates with an angular speed of 5.00 rads/s. Given the angular speed of w= 5.00 , find the radius R(w) at which the mass rotates without moving toward or away from the origin. http://session.masteringphysics.com/problemAsset/1011198/17/6172_a.jpg

Explanation / Answer

Equate the centripetal force Fc with the tension force in the spring Ft:

Let R be R(omega). Then

Fc = M * w^2 * R

Ft = k (R

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