Recent content by Falmarri

If the solution is unsolvable, what approximations are used to do this kind of simulation in software? Games, etc?

I am not taking into account rotation, or friction.

I posted this on a programming forum as well, as that's the end result of this problem. But here is where I'm at; am I correct so far? I'm working on the math now. And this is what I have, am I on the right track? Ball 1 has mass M1 and is at p1=[2,5] with v1 = [-1,0], ball 2 has mass...

I just took a look at that. That doesn't seem to have a solution for when the spheres are offset. For example if sphere 1 is 1 meter, sphere 2 is 3 meters. Sphere one is at x=0 with velocity y=2. Sphere two is at x=1 with velocity y=-2.

Is there a solution to finding out how exactly 2 spheres of non-equal mass and radius rebound after they collide? I know how to do it for equal mass and radius, finding the line of the collision, and then the components of velocity perpendicular to that line don't change. Does that hold true for...

I'm working on a software project that simulates spheres colliding in free space. We were thinking of having the coefficient of restitution different for each sphere (arbitrarily or randomly assigned at run time) but I forgot that the coefficient of restitution depends on the collision, not the...