On The Equilibrium Positions of A Square On An Elastic Wire with Energy Involving Arc Length
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Date
2003
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Abstract
We study the equilibrium positions of a square, allowing to move
freely on an elastic wire. The energy under consideration is involving
the arc length of admissible function. We obtain the necessary and
sufficient condition for the existence of minimizers on the weight of
the solid body in each case. We also characterize the position(s) of the
minimizer(s) in each case.
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Keywords
The Equilibrium Positions of A Square, An Elastic Wire, Energy Involving Arc Length