Slight Detour -- Part #1

Jun 13, 2007 12:36

So, I know I still haven't finished the second half of that earlier physics post, where we'll derive the Schrodinger equation from classical mechanics, but I thought I would take a little detour first. There was a problem that's been bugging me since the middle of last semester. I asked Asma about it the other night, and she gave me some very nice ( Read more... )

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moosehead_beer June 13 2007, 19:27:15 UTC
Bah. I guess I did.

I also used "schlep", though. Schlep is reserved exclusively for cool cats and playas, so it makes up for the lameness I incurred with shlew.

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rubber_wallet June 15 2007, 04:52:58 UTC
I like shlew. What's wrong with shlew? Why are you so anti-shlew??!

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moosehead_beer June 15 2007, 06:58:42 UTC
Only dorks use shlew. Are you a dork? Huh? Are you?

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synchcola June 15 2007, 08:50:12 UTC
this reminds me of a neat problem! XD

what shape is a soap bubble stretched between two hoops of radius 1? try to minimise the surface area integral,

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Awesome problem!! Thankee =D moosehead_beer June 16 2007, 07:33:57 UTC
Hey, check me on this:

[x is the distance along the line connecting the center of the hoops, yes? and r(x) is how far away from the line the soap bubble is?]


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Re: Awesome problem!! Thankee =D synchcola June 16 2007, 16:36:39 UTC
That certainly looks correct! Glad you liked it :)

As you probably saw in the page you linked,


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moosehead_beer June 16 2007, 07:40:34 UTC
I didn't impose any of the constraints, though, with the radius being 1 at each ends of x. I'm not sure how, to be honest. I really don't have much insight into this problem, I just plugged everything in and tried to make sure I did my derivatives and algebra right. I'm thinking maybe I screwed something up.

I love what you said, though. It's like you can 'see' the bubble popping and going into the two disks when you stretch them far enough apart. Awesome.

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