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  1. S

    What shape will a bent wire take?

    Interesting. I flipped through this paper in the link and it says that "... the differential equation for the elastica, expressing curvature as a function of arclength, are equivalent to those of the motion of the pendulum..." An unexpected fact, but disconcerting since the pendulum DE is...
  2. S

    What shape will a bent wire take?

    Thanks, I understand what you're saying and I'm familiar with the derivation for the shape of a hanging rope, but (and I probably should have mentioned this) the wire is in a horizontal plane. Here's what it should look like at first (my sock is on the fixed end and the bent part wouldn't be...
  3. S

    What shape will a bent wire take?

    Homework Statement Not homework, but something I'm interested in finding out. The setup is a flexible wire with left endpoint fixed at x=0 and right endpoint at x=L. You push the right endpoint with some horizontal force directed towards the left endpoint which will move the right endpoint...
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