09-17-07 - 3

Here's an interesting physics problem I don't think I ever did : you have a rectangular box resting on a plane, it has some friction, how far up on the box should you push it so that it has no angular motion (eg. it doesn't tip). I dunno if there's some clever easy way to work this out; in practice we know the answer is usually something like 1/3 of the way up, but I'm sure it depends on the geometry and such. I'm also not sure if you have to consider static friction in this phenomenon or if I can pretend I'm in a steady state dynamic friction situation.

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