In this video we take an in depth look at the basics of circular motion, and extend it to motion along an arbitrary path with a changing speed. We also investigate a conical pendulum in detail and show that there are no centripetal forces acting on mass!
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This project was supported, in part, by Dickinson College.
Special thanks to Adi Chacko for helping with almost every aspect of this video, and to Jonathan Barrick for being willing to make me anything at any time! Lastly, thanks to my Dickinson colleagues for always being willing to engage in discussions relating to physics, pedagogy, and the meaning of life!
This video has been entered into #SoMEπ.
Because this video is related to the previous video on circular motion, I decided to wear the same shirt, and multiple people have asked where it came from. I got it at TulsaTieDye on Etsy: https://www.etsy.com/shop/TulsaTieDye?ref=shop-header-name&listing_id=1430266099
Music for this video courtesy of
Vincent Rubinetti:
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
Correction:
18:15 Apologies, but there is a rather large blunder here. A conical pendulum has the same period as a simple pendulum ONLY in the small angle regime! This can be understood by noting that the period for a conical pendulum can be made dramatically shorter just by increasing the rotation rate. Thus, a conical pendulum at an angle that's very close to pi/2 can have a very large range of periods, whereas a simple pendulum does not. Once I started thinking linearly, I forgot that the original problem is nonlinear. Mea culpa!