Lagrangian Mechanics III: Solving the cylindrical pendulum analytically
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- เผยแพร่เมื่อ 31 ก.ค. 2024
- In this video, we solve a system of differential equations analytically through the means of linearization, and proceed to discuss the implications of the solution.
For the best viewing experience, make sure to watch in full-screen and 4K (2160p) resolution.
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This is an entry for a contest of Theories of Everything with Curt Jaimungal: / theoriesofeverything (specific video for the contest is • Physics & Consciousnes... )
This video is also my submission to the SoME2 event.
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Music in the background from www.fesliyanstudios.com
Blackboard image by Gerd 'geralt' Altmann: pixabay.com/sv/users/geralt-9...
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#Physics #SoME2 #PaCE1 #Mechanics #Lagrangian #Pendulum
00:00 Intro
01:08 Linearization
03:36 Ansatz
05:17 Eigenfrequencies
09:55 Eigenvectors
11:27 General solution
12:16 Initial conditions
14:14 Recap
15:25 Showcase/Interpretation
19:30 Limiting case
20:50 Outro
![[ไฮไลต์] แบดมินตันหญิง "เมย์ รัชนก" ไทย vs เบลเยี่ยม รอบแบ่งกลุ่ม | โอลิมปิก 2024](http://i.ytimg.com/vi/qfMROCoiKMY/mqdefault.jpg)
The best Lagrangian video series I have seen.
these series on lagrangian mechanics are seriously the best videos on lagrangian mechanics I have ever seen! Funnily enough I live about 800 meters away from where Lagrange used to live here in Turin
PLEASE CONTINUE THE CHANNEL! YOUR WORK IS AMAZING, MAN.
Such a satisfying payoff to visualize the eigendecomposition at the end!
Came from the peer review!
I think this is a very nice, well-explained video about a specific set of differential equations, using tools of linear algebra. Particularly about the manipulation of the algebra, I really love that I don't have to pause to be able to follow all the way through!
Thanks a lot, I'm glad you found it enjoyable! :)
Thank you so much for your submission! (final video announcement with winners / runner ups out now, by the way)
Thank you! I finished all three videos. The last one I had to rewind in a couple of places since there are quite a bit of calculations. These are by far the best series on Lagrangian Mechanics I can find on the internet. I understand this may be just a hobby project but the production is just unbelievable. Can't imagine how many hours you have put in creating these videos...
What a deeper explanation in all 3 video on Classical Mechanics!
Thank you sir to make Lagrangian approach a part of my understanding the Nature.
Regards!
Need more physics contents
Keep uploading videos like these Please
What a nice video. It's a must for everyone studying physics. I wish I could have seen something like this, when I was studying it.
Man, THANKS! lOVED THE VIDEO. One of the best videos I've seen about Lagrangian Mechanics.
I saw something like this while reading R.D Greggory's Classical mechanics and was completely lost , makes much more sense now 🙂
I love to watch your videos ......kindly keep continue this segment.....
I will do my best!
Superb. Have saved it so I can go thru it at my leisure and get it into my head AND Python perhaps.
This is such a great video thank you !!
Thanks... I couldn't find the next video which you stated about.
Wow fantastic
Oh, God, where is my beloved no friction inclined plane???
We really Miss you sir 😢
May I ask if you know something? He seems to have stopped making videos and the paypal appears closed..😮
How did you set your background like that under manim? I know we can change colors in our macros, but right now the only way I know how to change the background itself is if I input an image and scale it to fit, then write over that image. Which doesn't really change the background lol
I'm actually not using Manim, but rather MATLAB (where I've written my own routines for writing/moving equations and such). What I'm doing is pretty much what you're describing though; I'm loading the blackboard image into a figure window and then I write everything else on top of that image.
@@physicsfluency5541 Wow, I was not expecting MATLAB. That's awesome. Is there any particular reason you went with MATLAB instead of manim?
@@diyakomoradi8473 I used MATLAB a lot as a student and am very familiar with the environment, so it sorta just felt more natural at first. Then I just kept adding more and more stuff. I have considered learning Manim though since it would most likely be easier in the long run to use something which is updated and maintained by more people than myself. =)
Hey, where is the new one😢
He seems to have stopped. Paypal is also closed😢