Exactly what I was thinking. My equations permit these forces.
What equations am I missing to further constrain the object?
It's fairly intuitive that an experiment like this would have a definitive answer if performed IRL, meaning I am not adequately modeling the problem itself.
Just because the forces balance doesn't mean the forces exist. Your body isn't randomly subjected to 5000N forces in opposite directions, cancelling each other out, just because those forces could exist doesn't mean they do
I thought about this, but I don't understand how it is possible?
Because if I were to physically take a tetrahedron in 3D space, fix 3 points with load blocks, and apply a force to the fourth, surely it would produce definite forces on the load blocks? How could it not?
I think the reason for...
My approach to this problem is to recognize that the tetrahedron being still means that net torque is zero and net force is zero.
Fd is given
Fa + Fb + Fc = -Fd
Fa X a + Fb X b + Fc X c = <0,0,0>
This can be split up into a series of 6 equations, 2 for each component.
However, this is where I...