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  • [Tadashi Tokieda] Here's an ancient, very traditional Japanese toy called kendama

  • "Ken" means sword and "Dama" means ball and it's a sword and a ball.

  • The French name is bilboquet

  • There is the spelling, bilboquet

  • We have some english versions of this toy but not so sophisticated as this one

  • So, as you can see, a ball is hanging from a string attached to this sword, as we say.

  • You see, there's a cup here and the challenge is to just tug the ball up and put it in the cup

  • Now that's of course is very, very difficult to do.

  • So you shouldn't do this in public... Because the chances of success are very small

  • [Generic News Channel Song]

  • [Explosion]

  • [Crowd Cheering]

  • [Tadashi Tokieda] Even if you succeed with the large cup

  • you shouldn't try the smaller cup because that's much, much harder to do of course.

  • Now, if you're a little mad you say "Ah! I notice that there is"

  • some space at the end of this stick.

  • Presumably that's not designed for play of this kind

  • But you know, if you're ambitious, you might try and miraculously succeed.

  • There is a place where you can rest you know? So surely I will not be able to do this

  • but once in ten years or so I may succeed.

  • But what is demonstrably impossible is you see there's a hole at the bottom of the ball

  • Is to tug this up and then make it land on the stick

  • And it's impossible because you see, when i tug it up

  • the ball starts going in all sorts of orientations

  • and what are the chances that when it lands, the hole is pointing straight down?

  • It's very, very unlikely and very, very improbable.

  • But there's a trick for this:

  • There's a grand principle in Physics that permeates all parts of the Universe

  • called The Conservation of Angular Momentum

  • That means that any body spinning

  • Once it gets spinning has a tendency to keep spinning exactly the same way

  • Unless disturbed by external influences

  • Not only at the same spin, at the same angular speed

  • but also around the same axis.

  • So we can begin by spinning the thing

  • And you see that when I tug it up

  • you saw that it keeps straight up

  • Because this axis of spin is vertical

  • and by the conservation of angular momentum

  • once it gets spinning it always keeps the same axis.

  • So, if I spin this and try, what seems impossible becomes possible.

  • [Crowd Cheering]

  • [Cheering Intensifies]

  • [Tadashi Tokieda] You should contrast this with when I don't spin

  • and how much harder and difficult it becomes

  • I can do it anyway.

  • I can reverse the roles of the sword and the ball

  • I can hold the ball and then swing it

  • and try to make the sword come into the ball.

  • This never works.

  • Hang on. Come on.

  • Oh!

[Tadashi Tokieda] Here's an ancient, very traditional Japanese toy called kendama

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捕捉Kendama - Numberphile (Catching Kendama - Numberphile)

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    林宜悉 發佈於 2021 年 01 月 14 日
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