Determine the polarizability of a wire segment.

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The discussion revolves around calculating the polarizability of a short, thin copper wire segment influenced by a negatively charged spherical metal ball. The relevant equations include the electric field generated by the charge and the force on the induced charges at the wire's ends. Participants express frustration over the complexity of the variables involved, indicating difficulty in deriving values from the equations provided. The need for clarification and guidance on how to approach the problem is emphasized. Overall, the thread highlights challenges in applying theoretical concepts to practical homework problems in electrostatics.
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Homework Statement



The center of the spherical metal ball of
radius R, carrying a negative charge -Q, is
located a distance r from the center of a short,
thin, neutral copper wire of length L. The
induced charges at the two ends of the wire is
±q. Determine the polarizability of the wire
segment which has a length L = 0.0105 m.

Homework Equations



E = k*2qL/r^3
F = qE
E(dipole) = k*2*alpha*E(sphere)/r^3

The Attempt at a Solution



I am given so many variables that I could not find a way to get any values from these equations.
 
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Bump, this question is driving me crazy, I would love some input.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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