Does top spin and bottom spin affect the cue ball's path after hitting a cushion?

Why would the cue ball only curve once though?

See PJ's response above. Post 10.
Also scenario I thought of… suppose you hit the cue ball into an object ball with a lot of top spin and a lot of speed. Let’s say the cue ball hits the object ball and follows the tangent line because of the speed and it hits a rail before any curve happens. Would the cue ball then still curve after coming off the rail?
Yes. Something beginners, intermediate and even some 600+ players aren't aware of and/or don't use, is speed to manipulate angles and CB direction.
Also check dquarasr's thread of Aug. 2nd in this forum for more on this subject.

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Mosconi Cup standings after the US Open

Good question! WNT refuses to make its rules public in a big disservice to fans and players.

No one really knows what the rules are, but the rumor is a player has to participate in at least two big major WNT events a year.

Lukas Fracasso-Verner was recently removed from the WNT rankings of U.S. players eligible for Mosconi Cup after his injury. He only played in one WNT major this year before his accident. That would appear to give credence to the rumors.

Chua was similarly removed from Reyes eligibility. He has played in no WNT majors this year.

If I appear to be pushing Bergman, it's only because I have to work with the thin gruel on which the US Mosconi team derives its meager sustenance! I would not quibble if Thorpe were picked, but his U.S. Open run was his only sparkling performance this year.

The under-25 crop for the U.S. is ultra thin, particularly if minimum WNT participation is taken into account.

Fracasso-Verner (Fargo 767) is the best of the bunch, assuming he comes back from injury. Turns 25 next month.

Twenty-year-old Henderson (Fargo 738) is probably next best, but Nathan Childress (745) has come on strong lately.

Childress, 23, beat Moritz Neuhausen in Arizona, 10-7, for his biggest win ever. He is the only young American to play in every big WNT major this year. Nice game, though nothing jumps out at me. I think he has to get in better shape to help elevate his game.

Payne McBride (Fargo 709, but probably higher now) is the only other American who appeared in enough WNT events to qualify. McBride, 20, never got to the knockout stage of a big WNT event and earned zero points.

Beyond those four, I have the highest hope for 18-year-old Harrison Leinen. He played at all five of the recen WNT events events in the U.S. and showed a ton of game.

I haven't seen much of him, but Landon Hollingsworth (Fargo 740) has been very competitive in WNT events lately.

***
The pickings are even thinner beyond the players listed above. Most top-ranked juniors had ample chance to join part of the WNT's U.S swing, but very few did.

Take Laz Martinez. Fargo 748. One of top youngsters. But he mostly plays money matches. I don't think he has ever played in a WNT event.

Maybe a few more youngsters will emerge from the mists, as Leinen did this summer, but visibility into rising juniors is low.
The message here seems to be that American participation in WNT has hit bottom and that we have almost nobody worthy of playing on Team USA. It also seems that there is little help on the way.

Team Europe would be wise to take a dive this year just to ensure that this annual encounter can continue.

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I am looking to buy Pro Aramith, Premier or Premium Balls, are there any real differences in playability?

cheaper balls from a top manufacturer are very close or even impossible to really notice any appreciable difference after a few racks of playing. or even the first rack.
most is mental. and all will argue about it.
but if you roll them together they travel the same distance. so it is basically sound of them that people use.

more important is finding a cue ball that in your mined you like as that may affect you. which it shouldnt.

i have multiple racks and would put out say 3 batches of 5 balls and hit them and cant find any real or even any difference in how they play.

except for newer balls that are shiny and will draw or follow better till they get dirty.

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