# Force distribution to supporting points

by ErikvdW
Tags: distribution, equilibirum, force, support
 P: 3 Hi everyone! (little background: I'm trying to develop a small, quick 'n dirty static physics engine to determine whether a stacking of boxes is stable). If I have a 3D box (with the bottom in the horizontal plane), resting on n points (at [xn, yn]), and we apply a downward force F at [xF, yF], how can I calculate the resulting forces Fn at these n points? If the system is in equilibrium then $$\Sigma$$Fn = F. However, I must also consider that the system might not be in equilibrium (for instance, if all xn < xF), so I can't use equilibrium equations. I'd still like to know the forces in that case, though, so that I can calculate the resulting torque. Is there an easy formula for this?