The curve of a hanging chain minimizes gravitational potential energy rather than the area beneath it
Is it true that the curve of a hanging chain minimizes gravitational potential energy rather than the area beneath it?
The statement that a hanging chain (catenary) assumes the shape that minimizes its total gravitational potential energy is a matter of classical physical mechanics and basic calculus of variations, requiring no citation.
Verdict: COMMON KNOWLEDGE · 0 sources for, 0 against · Last checked
The retrieved papers deal with unrelated topics such as historical modeling games, power line image processing, bio-inspired metaheuristic algorithms, reformulations of mechanics, and the mass of potential energy. None of the papers evaluate the physical properties of a hanging chain or catenary curve versus the area beneath it. However, the claim itself is a well-established physical principle of minimum potential energy in mechanics, making it common knowledge where no citation is required.
What does the evidence say?
The retrieved papers deal with unrelated topics such as historical modeling games, power line image processing, bio-inspired metaheuristic algorithms, reformulations of mechanics, and the mass of potential energy. None of the papers evaluate the physical properties of a hanging chain or catenary curve versus the area beneath it. However, the claim itself is a well-established physical principle of minimum potential energy in mechanics, making it common knowledge where no citation is required.
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