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
-
I knew about it being true for small angles only, but I just realized that I don’t know why. Is it related to the ratio of the mass of the weight to the mass of the rod or string?
it's because the small angle approximation neglects the higher order terms in the initial angle θ
-
-
The period of a simple pendulum to lowest order in θpic.twitter.com/RxOCEyb6F6
- 1 more reply
New conversation -
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.