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The Physics of Colliding Balls

67 点作者 vha38 个月前

10 条评论

sebtron8 个月前
If you are interested in this topic, the author of pooltool[1], a billiards simulator, has a nice blog series about it [2].<p>[1] <a href="https:&#x2F;&#x2F;github.com&#x2F;ekiefl&#x2F;pooltool">https:&#x2F;&#x2F;github.com&#x2F;ekiefl&#x2F;pooltool</a><p>[2] <a href="https:&#x2F;&#x2F;ekiefl.github.io&#x2F;projects&#x2F;pooltool&#x2F;" rel="nofollow">https:&#x2F;&#x2F;ekiefl.github.io&#x2F;projects&#x2F;pooltool&#x2F;</a>
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angry_moose8 个月前
Also see the (somewhat legendary) &quot;Perfectly centered break of a perfectly aligned pool ball rack&quot; answer:<p><a href="https:&#x2F;&#x2F;mathoverflow.net&#x2F;a&#x2F;156407" rel="nofollow">https:&#x2F;&#x2F;mathoverflow.net&#x2F;a&#x2F;156407</a><p>(updated link to original, not the repost)
IanKerr8 个月前
For an interesting exploration of how even the simple physics of two blocks hitting one another can lead to surprising conclusions, I&#x27;d highly recommend this 3Blue1Brown video called &quot;Why do colliding blocks compute pi?&quot;: <a href="https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=jsYwFizhncE" rel="nofollow">https:&#x2F;&#x2F;www.youtube.com&#x2F;watch?v=jsYwFizhncE</a>
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chkas8 个月前
I have programmed a small simulation of colliding balls in 2D.<p><a href="https:&#x2F;&#x2F;easylang.online&#x2F;show&#x2F;#cod=jVPbbptAEH3frzhSpMqJFYppI0Wy6UN&#x2F;o+IBA67WwtCCE7F&#x2F;3zOzy8U4kYpsdi5n5szsDA&#x2F;42b41hW1+45jXdW8eYLq8RIpX0&#x2F;D9Yvo&#x2F;VSX6LnoJzoSaYJ6QiMrfd29JaJJDcKe2g5UwXFs0BsDwK8MXwTVlezkRutnFMZ414hFbOQXm&#x2F;g&#x2F;2fpfOF8qiCFZZYXfpPoQVrDQWQco+j2V&#x2F;E0vwFgzZxcovmfBKcSf+SOPb2vMUJpLu+7djJ8balpX45QL7v90V5TA4p5YBX1Pa9yidSlotYRt2ZjMWx&#x2F;OcPZKW0C3NLpjdaNY89sSogy&#x2F;ep31KadG0IgV7SJoKYI+QKw05vP+cYTv7g+Z8i5FpG+SNveRX7aeoq7wLjfPGkiQR5dK+V4h9LbVtKsjkbjX+J32tTQO43ZuJRS7ZZsGkXNqUm42F7VjZuCKAB7AP3&#x2F;5esaqPQdGnnAMNYxTFBcu4I1ZWYBkCHUd+7LEZOCk&#x2F;v4P&#x2F;Mrg13uPocQvPHAsdH1lD7K1HiwixqxiuFHRyYVdk9PNo&#x2F;cPCPFBZ5Zu9cQPLdZ2eyNyJ48mEA35g+jhnpL&#x2F;sFM&#x2F;SryrBV9UadPgYvkYviNwnRG5J5FZE7o7ILYjcikh23PwD" rel="nofollow">https:&#x2F;&#x2F;easylang.online&#x2F;show&#x2F;#cod=jVPbbptAEH3frzhSpMqJFYppI0...</a>
pontifier8 个月前
It took me quite a while to understand exactly what was happening with a Newtons Cradle toy. You know the one with the clacky balls that swing...<p>If you hold 2 balls up, and let them fall, 2 balls swing up on the other side. How does it know how many you swung??? It boggled my mind for the longest time. Then I got to playing with one, and found something interesting. It doesn&#x27;t always seem to work!<p>If the balls are perfectly aligned, and touching each other, the effect is dampened by the multi-body collision. It&#x27;s strongest when the balls are just <i>barely</i> not touching.<p>What we see as multiple balls swinging and hitting is really a whole bunch of individual 2 body collisions that are close enough in time to seem like they are a single event.<p>I could be wrong about the reason, but this was my observation.
TheRealPomax8 个月前
While rare events, it would be lovely if this also included notes on how to deal with &quot;more than two balls&quot; simultaneous contact cases.
amai8 个月前
Classical mechanics is easy. Make the same calculations using relativistic mechanics for some real fun.
kookamamie8 个月前
A very nice article. I noticed a small typo: &quot;resitution&quot;.
kazinator8 个月前
Unfortunately, this writeup doesn&#x27;t mention any words like &quot;spin&quot; or &quot;rotation&quot; or &quot;angular&quot;, not even to disclaim that those aspects are not presently being addressed. It looks like a great resource for kids in grade 11 or 12 physics.
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anthk8 个月前
Koules was cool.