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Hitting a billiard ball h above centerline

  1. Oct 17, 2011 #1
    1. The problem statement, all variables and given/known data

    A billiard ball, initially at rest, is given a sharp impulse by a cue. the cue is held horizontally a distance h above the center line. the ball leaves the cue with a speed vo, and because of its "forward English", eventually acquires a final speed of 9vo/7. Show that h=4R/5, where R is the radius of the ball.


    2. Relevant equations



    3. The attempt at a solution
    I've tried using FRsin(θ)=Iα and coming up with h = (2/5)R^2(α/a). Then using the impulse equation a = v0/Δt and α= ω0/t i got h=(2/5)R^2(ω0/v0). The thing is I keep getting wrong and contradictory answers about ω0.
     
    Last edited: Oct 17, 2011
  2. jcsd
  3. Oct 18, 2011 #2
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