- #1
uekstrom
- 8
- 0
If we have N unique point masses, is it possible to use only internal forces (i.e. forces between each pair of masses) to reach any configuration of the points (modulo rotations and translations)?
I assume this is well known, but don't know where to find a proof. Perhaps by induction from N=2 where it's obvious? Or of it's not true, I would like to find a counter example for some low N.
Edit: Ok, now I see that it cannot be true in general, for example three masses on a line can never leave the linear configuration. But is it true for "most" configurations?
I assume this is well known, but don't know where to find a proof. Perhaps by induction from N=2 where it's obvious? Or of it's not true, I would like to find a counter example for some low N.
Edit: Ok, now I see that it cannot be true in general, for example three masses on a line can never leave the linear configuration. But is it true for "most" configurations?