Calculus 2: Parametric Equations (10 of 20) What is a Cycloid? - Rolling Wheel

In this video I will explain something unique to parametric equations for finding the positions of x and y. This involves a point on the edge of a rolling wheel tracing out a cycloid “shape” on a graph.

Next video in the series can be seen at:

[gabby_]

I love how you explain the logic behind the x and y points according to the graph. Thank you!

[Hahezzang]

Your pronunciation is so good that automatic subtitles are pretty accurate.. despite that, this video really helped me alot wit my exam. Thx!

[forthrightgambitia]

Best explanation of the cycloid on youtube.

[thomashughes]

I design clocks and pendulums for Metronomes (old school), and for me the cycloid and the epicycloid are my favourite geometric shapes. The former is isochronous, and the latter is frictionless where the wheel and the radial pinion are in contact. This is really cool stuff, profe! Thanks!

[DELTASERPENT]

Please flash more light on the whiteboard. Excellent stuff. Reminded of my A level days.

[sudiptoatutube]

It took me a while to realize that 't' is not time, but it is the angle subtended by the point on the wheel under consideration. Can we also have a general equation of cycloid like we have for any curve? And thank you so much for your lucid explanation!

[calvinjackson]

A PLUS for effort in explaining, but this is where your efforts cannot compare with a video animation of what is going on in its live action setting. Animation could show exactly what is happening to the various angles and distances as the circle roll that your moving hands and your labored explanation cannot. This is why in so many ways the technology can be so helpful. My problem as a veteran teacher is learning the technology to MAKE IT WORK FOR ME in teaching the concepts! The problem is ME and my lack of knowledge.

[nfqioehr]

Hi, do you have a video on how to graph a cycloid and an epicycloid given a their parametric equations? thanks a lot !

[yumi-bvgf]

Sir, how to show that a cycloid is periodic and what is the period?

[latesh]

What about the length of one period of cycloid ?

[eppurusokallio]

Can this be applied to ellipses as well?