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## Main Question or Discussion Point

If you were to look at a simple 2D or 3D static equilibrium diagram, where a mass is suspended by multiple ropes at different angles, my gut feeling is that there is a fairly simple proportion between the distance between the center of mass and the rope (the distance created opposite of the angle) and the percentage of the total mass that rope is supporting. I have been unable to derive this proportion mathematically if it exists. If my instincts are correct, what is this proportion and how is it derived?