Three charges q, uniform circular motion

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SUMMARY

The discussion revolves around calculating the magnitude of charge q for two positively charged spheres in uniform circular motion with a stationary negatively charged sphere between them. The spheres move at a constant velocity of 12.0 m/s, and the relevant equations include the electric force formula, centripetal force, and gravitational force. The user initially assumed a mass of 1 kg for the spheres but later suggested using a variable mass "m" to derive a more general solution for charge q.

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  • Knowledge of centripetal force and its relationship to circular motion
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Homework Statement



Two spheres have a charge of q a stationary sphere between them has a charge of -q. The 2 positive spheres move like conical pendulums at a constant velocity of 12.0m/s in uniform circular motion. What is the magnitude of charge q?


Homework Equations



Electric Force = kq1q2/(r^2)
(mv^2)/r = Centripetal Force
Fg = mg

The Attempt at a Solution



I did some calculations but found difficulty because I don't know that mass of the two side spheres were.
 

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I would call them 1kg, to get a solution ; later you change them to ½kg, or "m"
(the charge will or course be different; this will get you the dependence on m)
 

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