Physics 68 Lagrangian Mechanics (1 of 25) What is Lagrangian Mechanics?
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- Опубликовано: 26 авг 2024
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In this video I will explain what is, when to use, and why do we need Lagrangian mechanics.
Next video in this series can be seen at:
• Physics 68 Lagrangian ...
Wow, this guy saved during undergraduate physics. After the class I forgot all about him. Years later I'm dying in my graduate level robotics class and here he is saving me again. You sir are a real hero/educator!
Same here, electromechanical engineering in Mexico this videos are pure GOLD
Best description of the Lagrangian I've been able to get thus far in my years of study so thank you:)
holy crap. i went through so many textbooks trying to understand what a lagrangian is. the only thing i did was get more confused. but this angel explained in way that makes a lagrangian seem obvious.
we thank you!
I wish in this world there are more people like you. You are smart, have a good attitude, humble and kind. Thankyou so much
Your explanation is just as simple and powerful as Lagrangian! Thank you so much! ;)
You're very welcome!
@@MichelvanBiezen can you do videos on the standard model lagrange
The best explanation I have seen I wish he was my physics teacher in the past
https: //ruclips.net/video/UHocGHguWJI/видео.html👍
Most talented person slows his speed to raise many talented persons. You are blessed.
Thank you. Glad you like our videos.
Thank you so much for your videos, as a physics undergraduate they're really helpful!
Gotcha! I'm off to bar to impress the ladies!
As clear as it can get! Thanks so much!
I've been clearly going to wrong bars :D
"Hey baby, I know how to derive a = -g using the Lagrangian"
@@greg77389 😂👌
greg77389
Girl: “How about you put that d/dt back in your pants?”
These videos are exactly what I have been looking for about Lagrangian Mechanics.
For some reason most other videos are obsessed with "Lagrange Multipliers", and they don't look anything like the examples in these videos, where you are actually supposed to use the formula L = T - V.
Thank you for your videos; your calculus 2 lectures helped me so much in getting through that class (which is known as a gpa killer at my uni, something i was unaware of when I signed up for it as a freshman). Now I'm in my third year as a physics major and I'm greatful that i can make use of your videos once again!
Keep it going. Glad we can be of help.
Finally Lagrangian mechanics makes some sense to me. Thanks for the illustration of video!
Joseph-Louis Lagrange[a] (born Giuseppe Luigi Lagrangia or Giuseppe Ludovico De la Grange Tournier; January 1736 - 10 April 1813), also reported as Giuseppe Luigi Lagrange or Lagrangia, was an Italian mathematician and astronomer, later naturalized French. He made significant contributions to the fields of analysis, number theory, and both classical and celestial mechanics.
You’re just… perfect.. I don’t know other words to describe you.. someone should create a word just to define the way you help to understand those arguments. Just a tip, he’s Italian, his real name was GIUSEPPE LAGRANGIA, he changed it to sound more “aristocratic” when he moved in France I think.. love you thanks for everything
I am far from perfect. 🙂
@@MichelvanBiezen We all agree that these are topics that have a certain level of complexity. It is not always easy to understand them right away. Whether it's the Lagrangian, whether it's physics or Mathematics, at the end of each of your videos every topic becomes clear and what remains is a linear thought about it. The purpose of teaching is to make people understand, you achieve that purpose as very few professors know how to do. It's perfect. Thanks a lot. Really. Maybe you don't often think about the turn of what you do, you save people’s time and you make us realize that even the most difficult things can be understood (also increase our self-esteem😅) thanks again 🌺
Thank you sir for this lecture. Our professor was giving us a hard time for this topic. Surely you made it easy..
Glad you found our videos.
Very important in identifying the frame of reference.....most people ignore the most fundamental thing for being too obvious.
Often in physics courses, Lagrangian mechanics is taught by starting with deriving how it all came about in the first place (the principle of least work). That is overwhelming for most people to be hit with all those proofs at once. This approach is much better, by starting with a practical way of how to actually use Lagrangian mechanics in a simple scenario. The derivation of the principle of least work can come later.
Your comments are accurate and good.
https: //ruclips.net/video/UHocGHguWJI/видео.html👍
I understand your lecture more easily than any other teaching me in boring classes thank you soooooo much
Wow! Lagrange is a genius! This video convinces me that Lagrangian formula is so true! Thank you so much!
Yes, he had an incredible talent thinking these concepts through. "The principle of least action" is another one of his concepts that is brilliant. (we have videos on that as well)
My mind exploded at 6:10!
Awesome explanations - What a great teacher!
Oh thank you for carefully explaining this subject in a step by step fashion using both a simple case, which is intuitive to under stand the math behind, and not using some counter intuitive coordinate scheme. I have watched several videos on this and this quickly because of strange coordinate choices and overly complicated examples.
Glad it was helpful!
I am so hyped to see the rest of your videos. I learned how to derive the euler lagrange equation a few days ago and seeing these examples in physics blow my mind :P
These videos are a treasure! Thank you for putting these together.
Thank you , the explanation is clear and to the point , I had never heard of Lagrange during my study period and brought to here under the influence of wanting to understand another video. but I am very happy to find your channel on my way , It will open a new horizons for me
The first time I understand something about Lagrangian mechanics
Great! Glad you found our videos. 🙂
Excellent work sir...
It helped me a lot a night before my semester...
Very good video! Clear and easy to understand! Thanks for helping to increase the knowledge of the world!
This is excellent. Extremely clear and precise. You must be a great teacher.
This is just an example of the Euler-Lagrange equation working in classical mechanics. The beauty comes, however, from its derivation, which is responding to the question “how infinitesimal position changes of a particle result in a minimal, near zero, energy change”. Solving this is not obvious because it depends, among other calculus-related operations, on the position itself, the speed, and the acceleration. The Euler-Lagrange equation can respond to the general universal question (since primary school) “what is the shortest path between two points”.
Wow. My first time here. Super impressed with your teaching skills.
Glad you found us. Welcome to the channel!
You my friend, are a life-saver………thank you for all you do.
Glad the videos are helpful
Thank you professor. You have made it easy to understand the topic.
this teacher is hands down the best in explanation
Thank you. Glad you like our videos. 🙂
@@MichelvanBiezen thank you sir, i will follow your channel for my msc physics course doubts and concept clearing. I urge you to provide the stat mech and quantum mech videos as well
Very clear explanation, perhaps the best I have seen so far!
The perfect introduction to Lagrangian Mechanics. Thank you.
D=1/2at^2. Galilean relative motion has the earth approaching the released object. No energy: not kinetic, mechanical, solar, potential or endless suppositions. The Atomic Expansion Equation eliminates all this confusion. “The Final Theory: Rethinking Our Scientific Legacy “, Mark McCutcheon.
Hello again, professor! I am back to this great series after watching the movie "Arrival" (an OK-ish movie), but more importantly, the movie led me to read the short story on which it's based (at only 50 pages, but SO MUCH more to say than the movie, typical!). And....the crux of short story (by Ted Chiang) was that the aliens base their physics on different fundamental phenomena than we humans do. We humans see things in time, causally. This causes us to focus on "stock variables" (those measured AT particular instants) like position, energy etc. Whereas the aliens focus on "flow variables" as the first instance investigation of nature (ie those vars occurring OVER an interval). And from accounting (!) (and, btw, common sense) we know, the rate of change of stock variables = flow variables.And Chiang's short story goes on to mention that the aliens base their physics on variational principles like Lagrange etc. So i was trying to come back and see if there was an interpretation to be had of Lagrange's formula in terms of concepts of "stock" and "flow". A very interesting line of thought! It seems like if you take the left hand side of the "L" differential equation and set it EQUAL to the partial deriv of "L" wrt "X" (rather than subtracting it and setting = 0) then you can set up some type of stock-flow paradigm: (From left to right) The rate of change of potential energy "stock" TO kinetic energy "stock" is equal to the (and this last bit is a bit conceptually dodgy for me still...) "flow" of "L" (ie. gradient) over space (really just the one-dimensional "x"). You think this makes sense, eh? It's a fun line of thought! Broached by former science major and writer Ted chiang! Kind of worth mulling over eh?
Lagrangia was a italian from Torino. In the last period of his life ,at age 51, he moved from Berlin to Paris to teach. France changed his surname.
Great information. Thanks.
Thanks you so much Sir ❤️🙏🙌 Love from Odisha, India 🇮🇳❤️💫
Welcome to the channel!
This video series is great. You are great. Thank you so much. plz lead our nation.
Clearest explanation I've found !!!
Glad it was helpful!
good attempt to talk about Lagrangian Mechanics
Glad you liked it. 🙂
I was waiting for him to say the The Lagrangian is also known as "action" and hopefully talk about the principle of least action. Perhaps in a future video.
I love the videos. The only thing I'd recommend is working on audio quality.
Thank you so much for this fantastic introduction to Lagrangian Mechanics - your explanations are first class!
Glad you found us. And thank you for the comment.
Phenomenal video! Very clear and very well done. Thank you for your passion and your knowledge!
My God! At least I understood the basics of Lagrange mech. Thank you!
Thank you so much this is very helpful , you are more useful than my teacher
This is so much clearer and a great way to enter this subject. Now I can actually understand what my professor is saying. LOL
please complete the series this is too helpful
Your lagrange pronunciation is correct. Thank you for the video.
Very well put and most importantly straight to the point. You are a true proffessor. Thank you so much
thank you for the video and actually knowed my questions in the end of the video
Glad it helped.
The people who said this is the best explanation of the lagrangian are not exaggerating
Amazing videos!! I hadn't understand anything till now. Thank you so much for making this kind of videos
I wish my Physics Professor had explained as well as you.
Thank you for the affirmation.
Mr. Michel thanks for making this video this was really good to understand in such simple way
Glad it was helpful!
Thanks V.B. for these great videos to help one better understand the Lagrangian. I salute your altruism.
such a great teacher u r ,sir,,I salute u,,u made everything clear,,, keep it up,, God bless u
His teaching is super cool... 😎
Thank you. Glad you like it. Pass the word. 🙂
Very good lecture Sir. Thanks and Regards 🙏🙏🙏🙏😊😊
Glad you liked it.
What a guy. Keep going SIR
Thank you. That is the plan. 🙂
awesome explanation of lagrangian via a very simple classical manner.
Thank you so much mr. Van Biezen... only a curiosity: LAGRANGE was born in my town, Torino (Italy) . he has originally the italian name La Grangia of his father... but when he was more or less 18 he was sent to Paris in order to study science and he became french
Lagrangian here is overkill but using a simple example is perfect
Yes, it was a good way to explain what it actually is.
I'm 15 and was able to understand it. Thanks m8
Very good!
Really clear and fantastic teaching..
I am never disappointed with your lectures,always the best
thanks you saved my life
Glad you found the video helpful.
Excellent explanation, I am eternally grateful.
Outstanding teacher.
Thank you! 😃
i like this explanation, thank you very much!
Glad it was helpful!
One of the best 9 minutes of my life 😍
Really an underrated yt channel.
Thank you so much sir. I now know the concept of lagrangian
You are most welcome
Good lecture. Thanks for being crystal clear and quick.
Super cool equation of motion
Perfect explanation.
Glad you think so!
This channel should be simply named 'Genius'.
the PE is in function of y, wich is correct, so you should put a note on the video to show that the derivativos are actually on the conventioal y direction. i appreciate the vídeo btw, thanks
THANK YOU for a very clear description!
Really great explanation sir
I love the cello on the bottom right corner!
Thank you for the clear explanation, really liked it!
You're very welcome!
Shouldn't PE be -mgx? Please help me
potential energy is equal to mgx as the reference level is ground level therefore the potential energy would be positive as it is above the reference
great video. You make this very easy to understand.
Sir, you have single-handedly saved me!!! I LOVE you!
That is great to see. Thanks for the feedback.
Crystal clear explanation...thanks!
thanks, sir. finals are coming soon wish I knew about ur page at the beginning of the year.
this is exactly what i need!!
You're welcome 😊
How g is -ve for a freely falling body?
Love you sir.....a best description
Can it have tension and angular velocity?
You are next to God for me....Thanks a lo.....
The god level explanation
Nice video, but I have a simple question:
Immediately after minute 3:45, where he took the partial derivative of kinetic energy with respect to x he made it zero since there is no x term, but couldn't x dot (velocity) be a function of x? For example of the speed was position dependent (e.g. position was x square) then its derivative (velocity) would contain x term (e.x. x square would give a velocity of 2x). This means that the derivative of kinetic energy with respect to x is not necessarily zero!! Any explanations?
Yes, totally, the video Is wrong.
@IronPump89 yes exactly.
This is a common point of confusion when one gets started in Lagrangian mechanics. The important thing to notice is that we are taking partial derivatives, not full derivatives with respect to x.
From the point of view of our partial derivatives, x and x dot˙ are completely separate variables with no relation to each other.
To give you a bit of intuition as to why this must be the case, consider a free particle in space (ie. no potential energy), no other particles to interact with.
Should it's kinetic energy depend on where it is in this space? No! So the derivative of the kinetic energy with respect to the position must vanish.
Answered by Mason from Physics stack exchange
You explain so clearly! Thanks!
Thank you. Glad you find the videos helpful. 🙂
This is fucking awsome! Lagrange must have had a hard time carrying his heavy brain around :D
Why's a = -9.81 though? If the object's falling down, acceleration have the same direction as g which is down then should it be positive?
in free fall is all about reference frame gravity is negative since is traveling in the negative Direction and acceleration is is a vector, we assume it's negative if the ground is the reference position.
Thanks Alot it's very useful . 💯👍💖
You're welcome 😊