H @pdarda, thanks for the reply this is making for an interesting topic. Firstly is there any chance I could borrow your project? I need some real numbers to try myself.
To get working method I’m going to write out the set of steps and assumptions I made and you can tell me which ones you disagree with, hopefully, this will give us both an understanding of why this does/doesn’t work… can we do that?
- Moments about a point can be represented by a force and a distance
- If the force is acting perpendicular to the axis the distance can be that from the point to the force parallel to the axis.
- (2D) if the force position of the force is unknown we can find it if we have two-moment forces measured from the same force at different points giving a position along that axis.
- We know the distance (or can find) between the two points along the axis.
- We know the moments at these two points.
- We do not need to know the magnitude of the force.
- To consider lift (or downforce) (down the y-axis) and drag (along the x) the calculation will be needed to be done twice or even a third if there are forces around the vertical axis.
So this implies that it could be found but does not have to be on the geometric line between the two points, in fact, the way I have put them on the same line in the example is miss leading. I should have drawn one higher and one lower.
So how close are your calculations to zero moments?
Hope to get your thoughts soon,