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opsb
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I find it very interesting trying to solve the 'classic' kind of physics problems. The ones that Euler, the Bernouillis and co. bandied about, I've come across:
The shape of a hanging chain
The shape of a hanging elastic string
The brachistochrone (the shape of a wire such that a bead running along it gets from A to B in the shortest time possible in a gravitational potential)
The elastica (shape of a toothpick being gently bent)
Profile curve of a bubble film suspended between two identical rings
Profile curve of a meniscus (water in a glass beaker sort of thing)
The last one I created a thread on a while ago, and think I got to the bottom of it. Let me know if you get a solution.
Wondered if anyone knew any other good ones.
If not, have a crack at these, some of them are pretty tricky (and watch out - there's no general analytic solution to the elastica problem, so don't pull your hair out over it).
Hope I've posted this in the right place. They're clearly not homework questions.
The shape of a hanging chain
The shape of a hanging elastic string
The brachistochrone (the shape of a wire such that a bead running along it gets from A to B in the shortest time possible in a gravitational potential)
The elastica (shape of a toothpick being gently bent)
Profile curve of a bubble film suspended between two identical rings
Profile curve of a meniscus (water in a glass beaker sort of thing)
The last one I created a thread on a while ago, and think I got to the bottom of it. Let me know if you get a solution.
Wondered if anyone knew any other good ones.
If not, have a crack at these, some of them are pretty tricky (and watch out - there's no general analytic solution to the elastica problem, so don't pull your hair out over it).
Hope I've posted this in the right place. They're clearly not homework questions.