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Abarak
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Homework Statement
An object of mass M = 3.00 kg is attached to a spring with spring constant k = 132 N/m whose unstretched length is L = 0.170 m, and whose far end is fixed to a shaft that is rotating with an angular speed of omega = 2.00 radians/s. Neglect gravity and assume that the mass also rotates with an angular speed of 2.00 radians/s as shown.
http://img337.imageshack.us/img337/4482/6172alq9.jpg
Question:
Given the angular speed of omega = 2.00 radians/s, find the radius R([tex]\omega[/tex]) at which the mass rotates without moving toward or away from the origin.
Homework Equations
[tex]k(R-L)[/tex]
The amount of force a spring exerts is proportional to the distance it is stretched or compressed with respect to its equilibrium length ( L = 0.170 m in this case).
so...
[tex]F_{spring}(R)=k(R-L)[/tex]
The Attempt at a Solution
"force a spring exerts is proportional to the distance it is stretched or compressed with respect to its equilibrium length" I am having problems with this part. I cannot figure out what the other side of the equation is.
I tried [tex]R-L=k(R-L)[/tex] but this does not work.
Any ideas?
-- Abarak
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