- #1
bijou
- 4
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Hi Guys,
Ok, I am taking on a mechanics investigation based around a snooker/pool/billiards style shot. I plan to model the ideal shot to get out of a snooker and pot a ball. In order to do this I plan to find the coefficient of friction between the table and the ball and the coefficient of restitution between the ball and the cushion then work out the angle and minimum initial velocity required. Something like this.
I plan to conduct experiments with a ball on an inclined glass plane. I will assume that the ball slips down the plane (no friction or rotation) and will work out the velocity as it leaves the plane. I will also measure the distance it travels from the point it leaves the plane (B) to the point is stops (C). Using these I hope to calculate the resistive force acting on the ball in order to stop it. I then hope to calculate the coefficient of friction.
If I work out the initial velocity of the ball as it leaves the plane (using PE = KE), is it acceptable to use v^2=u^2 + 2as to work out the deceleration of the ball? Then use F=ma to work out the retardant force on the ball?
Do I need to worry about angular momentum as at this point that the ball meets the table it will start rolling? If so, is there any loss of energy due to angular momentum or is it all due to friction?
As you can probably tell, I've gotten myself a bit tangled up here. If you can give any advice at all it would be greatly appreciated.
Ok, I am taking on a mechanics investigation based around a snooker/pool/billiards style shot. I plan to model the ideal shot to get out of a snooker and pot a ball. In order to do this I plan to find the coefficient of friction between the table and the ball and the coefficient of restitution between the ball and the cushion then work out the angle and minimum initial velocity required. Something like this.
I plan to conduct experiments with a ball on an inclined glass plane. I will assume that the ball slips down the plane (no friction or rotation) and will work out the velocity as it leaves the plane. I will also measure the distance it travels from the point it leaves the plane (B) to the point is stops (C). Using these I hope to calculate the resistive force acting on the ball in order to stop it. I then hope to calculate the coefficient of friction.
If I work out the initial velocity of the ball as it leaves the plane (using PE = KE), is it acceptable to use v^2=u^2 + 2as to work out the deceleration of the ball? Then use F=ma to work out the retardant force on the ball?
Do I need to worry about angular momentum as at this point that the ball meets the table it will start rolling? If so, is there any loss of energy due to angular momentum or is it all due to friction?
As you can probably tell, I've gotten myself a bit tangled up here. If you can give any advice at all it would be greatly appreciated.