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# Balls rolling

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I am trying to calculate the spin induced on a pool ball when struck by a cue. I think the angular velocity can be calculated as: w = (5/2RR)r ^ v Provided cue is horizontal (Impulse force =m mass * v) where w is the angular velocity of the ball, R is the balls radius, r is the vector from the balls centre to the point where the cue struck the ball, v is the final velocity of the ball, m is the mass and J is the impulive force. ^ is the dot produt of two vectors. Does anyone know if this is correct? Any advice will be most welcome. Cheers

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quote:
Original post by RodX
I am trying to calculate the spin induced on a pool ball when struck by a cue. I think the angular velocity can be calculated as:

w = (5/2RR)r ^ v

Provided cue is horizontal (Impulse force =m mass * v)

where w is the angular velocity of the ball, R is the balls radius, r is the vector from the balls centre to the point where the cue struck the ball, v is the final velocity of the ball, m is the mass and J is the impulive force.
^ is the dot produt of two vectors. Does anyone know if this is correct? Any advice will be most welcome.
Cheers

I''d probably use a full rigid body dynamics model for that. In that case, it''s like modelling a collision impulse at the impact point, with coefficient of friction (put some chalk!), and so on. It''s not that difficult.

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