Everything You Need to Know About the Double Pendulum
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- Опубликовано: 10 сен 2024
- I give a detailed explanation of what it means for a Double Pendulum to be unpredictable yet deterministic. Along the way, I derive the equations of motion using the Lagrangian. I also show how sensitive the motion is to the initial conditions with several animations.
Error:
2:04 cos(theta2) should be cos(theta2) = -(y2-y1)/L2
If you have any questions or suggestions for future videos, please leave a comment here or shoot me an email at abidebyreason@gmail.com.
Can we talk about the prefect timing at 8:50? So satisfying you stopped the plot just the right time
This is so good, criminally underrated. Keep up and you will garner a significant audience. Subscribed 👍
So neat and beautifully demonstrated
Beautiful animations. Great!
What a fantastic presentation of the double pendulum, I have seen this topic described before but never with such high-quality animations. Also seen the angle plots together with the animation is great. Thanks for letting the beautiful figure complete at 8:50, the animation-voice over timing was perfect.
Thank you, glad you enjoyed it!
This is such a good video to have in the youtube catalogue. Will probably use as a reference if I ever need to explain a double pendulum, or chaos tbh.
Also, if you're open to suggestions. I think it would be interesting to see how different approximation schemes (RK4, Verlet, etc.) affect the double pendulum. I'm almost finished with a video covering the subject, on Simple Harmonic Oscillators though, but I think the double pendulum would be a really interesting medium to explore the topic.
Again, really great video, thanks for making it!
Thanks for the positive comment. Glad you liked the video.
And thanks for the suggestion, that's a really cool idea. I'll add it to my list of future planned videos!
Such a master piece ... subbed
Please give details of the lecture referenced at minute 5:10 of this video. I can’t quite hear the name or where to find it. Thank you.
It's Feynman's Lecture on the Principle of Least Action. You can find it here: www.feynmanlectures.caltech.edu/II_19.html
9:40 😺