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A problem from Gravitation

Three identical bodies each of mass m are located at the vertices of an equilateral triangle with side r. At what speed they move if they all revolve under the influence of one another’s gravitation in a circular orbit circumscribing the triangle while still preserving the equilateral triangle

Asked Nitin gupta (from our mobile website http://m.askphysics.com)

An equilateral triangle with equal sides and a...
An equilateral triangle with equal sides and angles marked

Please post your answer now!

The total force on charge q on the vertex

Can you please answer the following question?
Consider the charges q,q and -q placed at the vertices of an equilateral triangle. What is the force on each charge?
I actually didn’t understand the total force on charge -q at the vertex C of the equilateral triangle. How is it equal to root3Fn where n is the unit vector along the direction bisecting the angle BCA (Why?).

Thejaswini posted the question

Answer.

An equilateral triangle. {3/1}
An equilateral triangle. {3/1} (Photo credit: Wikipedia)
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