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!

Best description of the Lagrangian I've been able to get thus far in my years of study so 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

Thank you so much for your videos, as a physics undergraduate they're really 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 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.

Finally Lagrangian mechanics makes some sense to me. Thanks for the illustration of video!

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

These videos are a treasure! Thank you for putting these together.

Your explanation is just as simple and powerful as Lagrangian! Thank you so much! ;)

The best explanation I have seen I wish he was my physics teacher in the past

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!

Very clear explanation, perhaps the best I have seen so far!

My mind exploded at 6:10! Awesome explanations - What a great teacher!

This is excellent. Extremely clear and precise. You must be a great teacher.

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.

Very good video! Clear and easy to understand! Thanks for helping to increase the knowledge of the world!

Gotcha! I'm off to bar to impress the ladies!

Most talented person slows his speed to raise many talented persons. You are blessed.

Amazing videos!! I hadn't understand anything till now. Thank you so much for making this kind of videos

I understand your lecture more easily than any other teaching me in boring classes thank you soooooo much

Excellent work sir... It helped me a lot a night before my semester...

Thank you professor. You have made it easy to understand the topic.

Phenomenal video! Very clear and very well done. Thank you for your passion and your knowledge!

The perfect introduction to Lagrangian Mechanics. Thank you.

I love the videos. The only thing I'd recommend is working on audio quality.

My God! At least I understood the basics of Lagrange mech. Thank you!

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.

Thank you so much this is very helpful , you are more useful than my teacher

Very well put and most importantly straight to the point. You are a true proffessor. Thank you so much

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

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?

This video series is great. You are great. Thank you so much. plz lead our nation.

Thanks V.B. for these great videos to help one better understand the Lagrangian. I salute your altruism.

Your lagrange pronunciation is correct. Thank you for the 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.

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.

Thank you so much for this fantastic introduction to Lagrangian Mechanics - your explanations are first class!

I am never disappointed with your lectures,always the best

if you can do any lecture on the jordan-brouwer separation theorem for smooth hypersurfaces

such a great teacher u r ,sir,,I salute u,,u made everything clear,,, keep it up,, God bless u

Wow! Lagrange is a genius! This video convinces me that Lagrangian formula is so true! Thank you so much!

One of the best 9 minutes of my life 😍

Very important in identifying the frame of reference.....most people ignore the most fundamental thing for being too obvious.

Excellent explanation, I am eternally grateful.

please complete the series this is too helpful

THANK YOU for a very clear description!

This is so much clearer and a great way to enter this subject. Now I can actually understand what my professor is saying. LOL

You my friend, are a life-saver………thank you for all you do.

Thank you sir for this lecture. Our professor was giving us a hard time for this topic. Surely you made it easy..

Wow. My first time here. Super impressed with your teaching skills.

Crystal clear explanation...thanks!

Really an underrated yt channel.

Clearest explanation I've found !!!

Good lecture. Thanks for being crystal clear and quick.

EXCELLENT!!!!... period!

Perfect explanation! I love your videos

Can it have tension and angular velocity?

Really great explanation sir

Love you sir.....a best description

Wonderfully clear. Great presentation.

awesome explanation of lagrangian via a very simple classical manner.

Wow, this is a very neat explanation.

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”.

Really clear and fantastic teaching..

Mr. Michel thanks for making this video this was really good to understand in such simple way

thanks, sir. finals are coming soon wish I knew about ur page at the beginning of the year.

great video. You make this very easy to understand.

I love the cello on the bottom right corner!

Thank you, Professor!

Sir, you have single-handedly saved me!!! I LOVE you!

Thanks for making it so simple and clear

What a guy. Keep going SIR

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.

Thanks ..... sir ... for lovely explanation .....

good attempt to talk about Lagrangian Mechanics

simply,, you are great , Thank you so much :)

such a great teacher u r ,sir

thank you for the video and actually knowed my questions in the end of the video

Excellent Teaching!!!

The first time I understand something about Lagrangian mechanics

Shouldn't the Lagrange-Euler equation be DL/Dx - (d/dt)[DL/Dx']? I guess it doesn't matter, since you can factor out a negative 1 and then divide both sides, right?

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?

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

The god level explanation

Thank you so very much. Excellent for a review :)

amazing and straight to point!!!!

Great example. Great teaching. Great bowtie. Thanks!

Thank you for the clear explanation, really liked it!

Excellent material! Are you planning to complete the series? Thank you

Profesor, Muchas Gracias. Thank you very much.

awesome lecture sir

Thank you, and a question: when taking the derivative of L wrt x, you said that the xdot term goes to zero, because there's no x's in it. Doesn't xdot = x/t? I thought d(mxdot^2) = d(m(x/t)^2). PS I love your videos, thank you so much

this is exactly what i need!!

You made my day ♥♥

conservation of energy, right?

@ Michel van Biezen is it possible that you can create more videos of the Lagrange Mechanics? such of the center of mass frame, Hamiton principle or the effective potential something like that

Holy crap. That looks amazing! = D

Nice Introduction... Thank you (Y)

You rock!! Thanks, God bless