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(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 [x_{n}, y_{n}]), and we apply a downward force F at [x_{F}, y_{F}], how can I calculate the resulting forces F_{n}at these n points?

If the system is in equilibrium then [tex]\Sigma[/tex]F_{n}= F.

However, I must also consider that the system might not be in equilibrium (for instance, if all x_{n}< x_{F}), 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?

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# Force distribution to supporting points

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