Calculate Force & Charges for 2 Balls Hanged on Stative

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To calculate the charges of two hanging balls with the same charge, the first step is to determine the forces acting on them, primarily gravitational force and electrostatic force. The gravitational force can be calculated using F=mg, where m is the mass of the balls. The electrostatic force between the balls can be expressed using Coulomb's law, F=k*q1*q2/r^2, where r is the distance between the charges. A free body diagram can help visualize these forces, but the interaction between the balls may be negligible compared to gravitational forces. Ultimately, the solution involves balancing these forces to find the charges.
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Two balls are hanged on a stative from the same point with 5 cm threads. If they both had the same charge they would be 6 cm away from each other. Both balls weigh 10 mg. Find the charges.

I think the first step is to find the amount of force needed, but I don´t know how. Then I should be able to find the charges from F=k*q1*q2/r*r. I know it´s easy but could please someone tell me what force I should calculate?
 
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What are the forces acting on the balls? Draw a free body diagram.

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I think the forces are gravitational. The balls interact with each other. F=G*M*m/r*r and both of the balls are lifted by one cm. But how can I find force when there is no time? Force equals mass * acceleration? The interaction between balls might be so small that it´s not relevant.
 
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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