Definitely do it in spherical and cylindrical coordinates
@mrahzzz5 жыл бұрын
The "this should be a 'q_i-dot'. You didn't say anything" killed me. I'm having flashbacks.
@d0ntsayg00dbye5 жыл бұрын
You are currently saving my college career. All that stands between me and a degree in physics is a final in mechanics that includes the Hamiltonian
@__donez__6 жыл бұрын
Great vid! You should give an example when the Hamiltonian doesn't just turn into T + V
@AndrewDotsonvideos6 жыл бұрын
Good idea!
@SomeGod6 жыл бұрын
Oh shit backwards hat Andrew at a white board. This is obviously a math heavy video and I love it
@TheNachoesuncapo6 жыл бұрын
its disrespectful to the whiteboard
@mrnarason6 жыл бұрын
when you see a reversed snapback you know shits gonna go down
@quahntasy6 жыл бұрын
Backward hat. Badass ready to tackle any problem on that whiteboard of his.
@hinata57363 жыл бұрын
Omg, I've always watched your videos as a pupil and thought "This is so complicated, I'll never get there", but now I'm sitting here at 1am, learning for one of my exams of the second physics semester and understanding what you say for the first time ! Thank you !!
@mostafaahmednasr6215 жыл бұрын
From lagrangian to hamiltonian is legendre
@chritophergaafele89225 жыл бұрын
a lecture in levi-cevita symbol identities would be very helpfull
@x17exeventien796 жыл бұрын
You can also derive the Legendre Transformation by using the total differential of L, and the Euler-Lagrange Equations. (Landau, Lifschitz. "Mechanics")
@manuelbonet6 жыл бұрын
It would be great if you drew the dots a bit thicker, so that we could see them better.
@AndrewDotsonvideos6 жыл бұрын
I agree! Next time furshur
@chritophergaafele89225 жыл бұрын
im am doing classical mechanics at university,,, everything you have done in this video is very helpful
@katgirl30003 жыл бұрын
Very nice Andrew! I needed that. Taking my first physics course (Classical Mechanics, Taylor's book) in over 45 yrs haha w/ no review and missing my old confidence :P. We just started the chapter on Hamiltonians and Great job - I feel better now!
@alexa.x6 жыл бұрын
So the whiteboard is on the wall
@andrewrezendes6 жыл бұрын
More Tensors man... I want to get at that group theory! (I won't cry if you do the coordinate systems though.)
@AndrewDotsonvideos6 жыл бұрын
I can't wait to make those videos again, definitely coming!
@BS-fk2zk2 жыл бұрын
Very well explained. Thanks a lot! Greetings from Zurich
@bwoy1234511 ай бұрын
Is there a difference between the legendre transform and the total derivative of a function? I never used the term Legendre transform in stat mech and just thought of it as a total derivative/differential. I can't find anything relating the 2 from a Google search and it's bothering me
@greenishiara99406 жыл бұрын
Here I am in 11th grade, fighting back the fear of what's ahead of me by looking at *this*
@AndrewDotsonvideos6 жыл бұрын
Shhh don't be afraid little one.
@rk996886 жыл бұрын
You sounded like Thanos
@blackdynogeek19256 жыл бұрын
I can’t wait until I can understand all this!
@mostafaahmednasr6215 жыл бұрын
10 minutes later
@willie50696 жыл бұрын
Just what I am looking for, a basic well explained example. Please, please do this in Cylindrical and/or spherical and just do more with this precise theme, i.e., basic examples well explained. Thanks
@eekinchan66203 ай бұрын
Does this work for non conservative systems?
@davidamayaperez65226 жыл бұрын
Omg I love the whiteboard. It’s so big. Which one did you get? Also you in hats is 🔥. 🙌🙌🙌🙌
@AndrewDotsonvideos6 жыл бұрын
I got the Quartet 4ft x 6ft aluminum frame. It's nice, but it hangs from the top of the white board, so the bottom had space between it and the wall. So I velcro'd it to the wall
@khajrymariam718 Жыл бұрын
what is the hamiltonian of L=square root of( 1-qdot square )
@alephnull69656 жыл бұрын
Why is your camera's axes not parallel to your white board's axes ?
@AndrewDotsonvideos6 жыл бұрын
Cuz parallel lines are for normies
@alphonseraynaud9764 жыл бұрын
I thought the Hamiltonian was T+V I understand the reasoning of this vid but it's not the result I expected Or does the sum term equal the Kinetic Energy?
@Metros236 жыл бұрын
Nice timing, bro. Gonna be introduced to Lagrangian and Hamiltonian mechanics later this semester 👍
@aryansudan2239 Жыл бұрын
hey man can u do going from hamiltonian to the lagrangian
@kevinvigi.mathew63504 жыл бұрын
please do cylindrical and spherical pleasee.Love your work brother,thanks a lottt
@karimmohie16286 жыл бұрын
What are some good sources (videos and textbooks) to learn Lagrangian and Hamiltonian mechanics, since my school doesn't offer them as a main course!? Thant u!
@crosisbh14516 жыл бұрын
They're generally apart of classical mechanics courses, so look for books in that field.
@chrisallen95096 жыл бұрын
my school uses classical mechanics by taylor, i've heard it's good. I'm using modern physics by taylor and it's good so far.
@Goku17yen6 жыл бұрын
taylor or halliday and resnick for classical
@evanschmitz3056 жыл бұрын
Taylor’s Classical Mechanics (the big red book) is solid. Very easy and interesting to follow
@karimmohie16286 жыл бұрын
Thank u all guys for the suggestions!
@sandeepchauhan6836 Жыл бұрын
That's an awesome video
@ventriloquistmagician47355 жыл бұрын
Very easy explanation. Thank you.
@user-pt-au-hg6 жыл бұрын
What whiteboard do you recommend (name brand) is it hard to mount, how about a mobile one?
@jessicaonymous43525 жыл бұрын
Thank you for saving my ass for my classical mechanics final 🙏
@claudiachaparro22573 жыл бұрын
I love this video, thank you so much!!
@alexanderrobertson55306 жыл бұрын
Great video! Is that cap a Kaiba Corp cap from Yugioh?
@otisarmyalso Жыл бұрын
Switch from cart colors to cylindrical wo justification
@joulesjams206 жыл бұрын
Why is the lagrangian Kinetic-Potential energy or more technically why is the action defined as the integral of Kinetic-Potential. (i get how the lagrangian and action are related because you want to minimise the action)
@kshitijgera54756 жыл бұрын
Make a video on it's physical significance,like that pendulum problem , that will help to understand its physical significance instead of maths
@petelok99695 жыл бұрын
I should probably try repeating in some different coordinate systems! 🙂
@dominicellis18674 жыл бұрын
It’s weird to think that velocity and in transitivity momentum although a time derivative of position does not explicitly depend on position yet you can’t describe the velocity with an initial position nor can you describe the position with an initial velocity position is only purely spatial and as soon as it has a temporal aspect you’re in velocity’s domain tack on a mass you’ve got some momentum add some Carl weathers baby you’ve got a stew goin
@3:50 Oh yes I did say something! You weren't listening!
@gerardogutierrez49113 жыл бұрын
@8:09 Get you a man that looks at you the same way Andrew looks at his converstion from Lagrangian to Hamiltonian.
@tripplen18756 жыл бұрын
Well actually im a chemistry student over at switzerland but i also have quantum mechanics in the next semster and think that your videos are very interesting even though i dont really understand much
@evanschmitz3056 жыл бұрын
You forgot to expose that the Hamiltonian also can be written as just T + V. Silly Andrew. Great video though 👍🏻 cylindrical and spherical coordinates would be sick to do a video over
@AndrewDotsonvideos6 жыл бұрын
How silly of me! Thanks!
@arsouyevet38883 жыл бұрын
Thnks from algeriaa
@Etothe2iPi5 жыл бұрын
Since H=T+V, it's obvious that H=2T-L.
@Simulera9 ай бұрын
We’ll def do it in 9 minutes and then you will take your qualifiers. 😂