PHYSICS · Subjective · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics
Problem
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 the original mutual separation a. Find the initial velocity that should be given to each particle and the time period of the circular motion. (F=r2Gm1m2).