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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it's because the small angle approximation neglects the higher order terms in the initial angle θ
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Ok. I’ve read up a little. The calculus is a bit over my head, but I get the gist of why it is the way it is.
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