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Momentum and Collision in 3D

  1. Aug 14, 2010 #1
    Hey, I've done quite a bit of Mechanics work in the past... But I really don't even know where to start here.

    For some work I'm doing, I need to calculate the resulting velocity vectors when 2 objects collide. These 2 objects can be any shape, any mass and going at any velocity independently. (The simulation is in 3D, so x, y, z)

    I suppose I'd have to calculate the normal of the two objects, do something with their velocity vectors and masses... And I suppose it would also depend on the objects' bounciness/stiffness etc...

    If anyone could give me the names of some equations I can look into? Or any sort of help... Really just a place to start would be great.

    Thanks for any help,
    Stephen
     
  2. jcsd
  3. Aug 15, 2010 #2
    Commonly called a Billiard ball collision.
     
  4. Aug 15, 2010 #3
    I'm Googling that term now, apparently it's also called "Elastic Collision" which is a great help (I had no idea of what to even start searching before) - but all of the equations seem to be confined to a 1D plane of movement.

    Would it just be a matter of making the velocity vectors 3D? Here's to hoping so - it's just things rarely are so simple when transferring over to 3 dimensions in Maths :rolleyes:

    Edit:
    Ahh, actually - I just found this Wikipedia article
    http://en.wikipedia.org/wiki/Elastic_collision
    Which explains about 2D and 3D at the bottom. It's not as simple, but neither is it beyond my knowledge - so I'm happy there :P

    Thanks a lot for the help; I genuinely wouldn't have known where to start looking without that
     
    Last edited: Aug 15, 2010
  5. Aug 15, 2010 #4
    Perfectly OK to just go to 3 dimensions. Or as many as you like ;-)

    You just have to resolve the velocities and momenta into 3 orthogonal directions.

    Of course, you rarely have to do that in physics problems because any collision between two particles is only in 1 plane, even when it's a glancing collision.

    You might want to consider inelastic collision - in the real world things tend to splat more than they bounce.

    If it's not a serious project ( a game for example) you could equally well 'fake it'. Just use random direction changes and keep the total momentum/ energy constant (or lose a bit - inelastic). No need to meticulously work out contact angles.
     
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