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I'm attempting to do a simulation of rigid bodies dynamics, and have ran into a problem.

**1. Homework Statement**

It can and at some point will occur that multiple forces will be acting on a rigid body, at different points with different strength and under different angles.

Obviously, before translating these forces into translational and rotational acceleration, they should be somehow added for a correct result.

I do know how to add forces acting on 1 point, but I think this is a bit more tricky. I need to find out what the resulting force will be (my guess is the same as when they act upon 1 point), and secondly, what the new point will be this added force acts upon.

**2. Homework Equations**

not really an equation, but for multiple forces at one point you can use the 'head to tail' adding method. Or for computation, make an weighed avarage of both the x and y components of all forces.

**3. The Attempt at a Solution**

As mentioned before, I guess the resulting force will be the same as when all forces would be acting on one point. Furthermore, I have the idea that the point where the resulting force will be acting upon is an avarage of all points, somehow weighed by the strength of each of those forces. I can't seem to find nor figure out the exact equations.

Some help would be highly appreciated