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Working with electrostatic force and gravitational force.

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Two identical spheres of mass 0.1 g each carrying identical charges are suspended from the same point by two weightless threads each of length 1.3 m. They position themselves so that their centres are 1.0 m apart.
Find the charge on each sphere.

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See the attached figure.
(We will use "a" to denote angle instead of "theta" )

For the system to be in equlibrium, the forces on both of the spheres must balance.
Here the forces acting on a sphere are gravitational pull (G)and the electroststic repulsion (F) from ...

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