Curvature of a cycloid

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An example of computing curvature with the explicit formula.
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Комментарии
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Been binging this for a few days now. Pure bliss.

kevininoue
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I just realized this is the same voice from 3blue1brown lol awesome

sergiowolfpac
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0:04 ohhh hey, it's 3B1B's grant sanderson

yash
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Good to note, k = (s' x s'') / |s'|^3 maybe a slightly easier formula, and it works in 3 dimensions

josephmoore
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3b1b, grant's voice. I was so surprised.

dhruvarai
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hi, I just wanted to know why you are not considering the orientation of the curve, wich gives a positive or negative curvature

danielaguilaralvarez
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In t=2k pi, with k integer, the curvature is not well defined, as the denominator evaluates to zero. It would be interesting to study the curvature around those values in relation to the shape of the curve.

_adaldo
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Is this Grant Sanderson? Just curious!

abraham
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Why the derivative of x is same as y and double derivative of x is derivative of y in case of cycloid??!!!

BPHSadayappanAlagappan
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isnt the CENTER of this curvature important? How do we find it?

atharvas