Two particles are bound to one another by a spring that is at equilibrium only when the two particles are adjacent (effectively in the same location).
I haven't got the slightest idea what to do. Every manipulation I've tried has been a dead end, leading to something like 2=2 or something similarly stupid. >_<
Hm, yes, I suppose it does. I keep trying to build myself up to other, harder problems I have to solve eventually for my game with smaller steps, but the answers can't really be applied in the higher-level issues.
I wanted to find Taylor polynomials for the motion of objects in a game with gravitation (high gravitational constant) and spring forces and maybe some other stuff, but I'm starting to think I may just need to find a way to break the linear approximations into smaller steps between frames or something....