I am looking for the physical equations that explains why a 2D object on a 2D surface, e.g. a rectangle cannot be pulled further than the greatest/smallest x/y coordinates of the points it is attached to. This becomes particularly obvious if the points are not placed on a rectangle but form an irregular polygon. The ropes can be shortened and lengthen without any limitation.
As my sketch indicates, I assume that the X and Y components of the forces acting through the ropes have to be looked at. I also know that in the first sketch, with equal forces acting on all ropes I have an equilibrium state that I would like my system to be in. I also assume that the y component in the second scetch does not simply disappear but what happens to it? Does it become indefinitely large or small?
Can someone help me to structure this problem, I am struggling to put it into the relevant physical context. Thanks so much.
EDIT: In the case of irregularly arranged anchoring points:
- Would it be possible to reach an equilibrium state with the rectangle still being axis aligned but at the same y-height as the top left anchoring point?
- What causes the shape to rotate if the forces are not balanced and is this caused by the momentum induced by a lever?
- What is that lever?