How is the tension in the string related to the electric force on a pith ball?

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The tension in the string, T, can be expressed as a function of the electric force F acting on the pith ball, which arises from the repulsion between the two positive charges. At equilibrium, the pith ball remains stationary, and the angle θ formed with the y-axis helps define the relationship between T, F, and the gravitational force acting on the ball. The charge q on the pith ball can be derived using the mass m, angle θ, distance L from the charge Q, and other relevant constants. This relationship illustrates how the electric force influences the tension in the string. Understanding these dynamics is crucial for analyzing the equilibrium state of charged objects.
mich_v87
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A positive charge Q is located at the origin.A small pith ball of mass m and positive charge q is attached to a light string and hangs from a point on the y-axis above the origin.The length of the string is.The teo posotove charges repel,and at equilibrium the pith ball is stationnary with the string making an angle θ to the y-axis, and with the pith ball being a distance L from Q,as shown in the sketch below.
1-Express the tension in the string T in terms of the electric force F on the pith ball and possibly other quantities
2-Express the charge q on the pith ball in terms of m,θ,L,Q and possibly other constants.

p-4.JPG
 
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