Pendulums are fascinating mathematical and physical objects.  We use them all the time, though we don't usually realize it.  Early clocks relied on the regularity of pendulums to keep time accurately.  Swings are pendulums.  Did you ever notice that the long rope swings swing farther and slower than the regular swings at the playground?  When I was a kid, we used to throw the swing over the bar to shorten the chains (at the disapproval of our teachers).  We figured out that this made the swing go really fast.

So I've got you thinking about pendulums and what you know about them... I now share with you one of the most beautiful mathematical videos I've ever seen:
Ricky
5/15/2011 05:22:48 am

What an extraordinary video! I want to build one now!

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Diana
6/20/2011 06:14:03 am

This video is going to be the subject of my next math article, thanks to you.

Also, this is the first chance I've gotten to sit down and actually read through this blog. It's wonderful, in the most literal sense of the word.

Stumped and uninspired as I slogged through edit #2^n of my current article, I remembered that this blog was one of the items on the list I fondly call, AAAAHSCHOOL'SHARDI'LLDOTHISLATER.

"Well, now it's summer," I thought. "School's not so hard in the summer. Why not finally read that blog?"

Now, an hour later, having raptly read every last article down to the click-out proofs, my inspiration is back. You reminded me why I love math and why I want to spend my life teaching it.

Thank you. Keep doing what you do and inspiring the uninspired.

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4/16/2013 12:39:00 am

Swiss watches have used the railways. extremely accurate clocks in Swiss railway stations

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4/20/2018 06:29:58 am

Did you ever notice that the long rope swings swing farther and slower than the regular swings at the playground? When I was a kid, we used to throw the swing over the bar to shorten the chains at the disapproval of our teachers. We figured out that this made the swing go really fast.

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