And for simple pendulums it's different? I thought T was proportional to √(L) which is the same in all of these... I'm def missing something. The curviness makes it different?
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Ah -- I had suspected it was, but I wasn't sure.
Yes! Indeed the oscillation period is just the period to lowest order in θ(t)
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Which is why, for small amplitudes, the cycloid doesn't do too much
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