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Three particles, each of mass M, are situated at the vertices of an equilateral triangle of side ‘a′. The only forces acting on the particles are their mutual gravitational forces. It is desired that each particle moves in a circle while maintaining their original separation ‘a’. The initial velocity that should be given to each particle and the time period of circular motion are, respectively.

The Resultant Gravitational force acting on each particle is: \(\begin{array}{l} F = \sqrt{(\frac{Gm^{2}}{a^{2}})^{2} + (\frac{Gm^{2}}{a^{2}})^{2} + 2(\frac{Gm^{2}}{a^{2}})(\frac{Gm^{2}}{a^{2}}))cos 60}\end{array} \) \(\begin{array}{l}... View Article