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Homework Help: Maximum angle of deflection after collision

  1. Aug 27, 2010 #1
    1. The problem statement, all variables and given/known data

    A smooth sphere A impinges obliquely on a stationary sphere B of equal mass. The directions of motion of sphere A before impact and after impact make angles α and β respectively with the line of centres at the instant of impact.

    show that cotβ=((1-e)cotα)/2

    where e is the coefficient of restitution.
    Find in terms of α and e, the tangent of the angle through which the sphere A is deflected, and show that, if α is varied, this angle is the maximum when

    tan^2 α=(1-e)/2

    2. Relevant equations
    conservation of momentum
    coefficient of restitution law

    3. The attempt at a solution
    I have no problem with first part but the second part seems weird. I think its possible that tan^2 α<(1-e)/2. But anyway using this equation α + β always makes 90 degree. im wondering if this makes the maximum angle of deflection. but i think they can be less than 90 to make much greater angle of deflection. Please explain it to me.
    Last edited: Aug 27, 2010
  2. jcsd
  3. Sep 4, 2010 #2
    Please help me
    im crying

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