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What force is needed on a charged sphere hanging in between two parallel vertical plates?

A small sphere with mass 1.10 g hangs by a thread between two large parallel vertical plates 5.00 cm apart (see the diagram in the attached file). The plates are insulating and have uniform surface charge densities +σ and -σ. The charge on the sphere is q = 8.60 * 10-6 C. What potential difference between the plates will cause the thread to assume an angle of 30.0 degrees with the vertical?

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This solution is provided in a 2-page word document along with clear diagrams and calculations showing all the force acting on the charged sphere.

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