We teach the youth that the period of a pendulum is independent of its amplitude •This isn't quite true. It's only true for 𝑠𝑚𝑎𝑙𝑙 angles θ •In reality, a pendulum's period is only independent of its amplitude if it moves along a cycloidpic.twitter.com/0si5dAcAuV
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wow that's very interesting, as far as i remember Huygens designed a pendulum clock which is swung around a cycloid.
yea! he did that because he wanted to make a clock that kept good time on ships if i recall
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I don’t know if it was for ships - much bigger errors would be caused by the pitching of the deck! I remember seeing a diagram of the clock that was actually constructed, though, and it looked much like yours - carefully shaped buffers to deflect cable so the mass kept on course.
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There is a nice account of the story here: https://www.princeton.edu/~hos/Mahoney/articles/huygens/timelong/timelong.html …
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that's brilliant! but how is that possible ? how a cycloid gives an exact result with an linearized pendulum? can you give a paper to read
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