I learnt more in the last 9 minutes than 3 hours of studying my lecture slides. The fact that you explain each step and the reason for it creates a fantastically intuitive method. Thank you!

Thank goodness you made these lectures. I don't know why every physics course just skims over Lagrangians like they are so obvious. I mean, I'm not saying they are hard, but you need them to progress through to so many other topics in physics that it is insane how little literature there is on the topic.

Hours of trying to figure out the simple basic reason why the KE for a pendulum is 1/2L^2theta^2 and no textbook or reference gives me the derivation for it. You sir just explained to me in two minutes. Honestly the best professor.

Very straightforward. Perfect for brushing up on my mechanics knowledge. Thanks!

I studied this last year in mechanics. Today, before starting quantum , I thought I would revise Lagrangian and Euler Lagrangian.... Everything about Lagrangian came back to me in 9 minutes. Nice and precise video.. thanks

Totally enjoying these lessons. This is beautiful!

A big respect to you sir, Thanks for those illustrated lessons and helpful videos.

Like the desert blooming after a spring shower. This is really good stuff.

this Sir is helping me prepare for my entrance exam free of cost :) I don't have words to pa him respect

You are a gifted teacher! I never tire writing the same over and over.

You are my favorite Physics teacher since high-school. Big thanks!!!!

These videos got me through the bulk of my college degree

excellent, can you explain the inverted pendulum which is connected to a load gear.

Thank you Sir! I learned more in 9 minutes of watching your video than a whole day of studying my professor's powerpoint slides. I'm now able to confidently answer my test in Classical Mechanics.

I do appreciate your lecture, whereby the many times i had tried to read and failed to understand. Now its clear about Lagrangian and Hamiltonian equations of motion of a pendulum. Thanks

you r the best teacher keep up the good work i love you my brother

Such a nice teacher!!

Brilliant Professor indeed❗️❗️🎗

This helped me so much, thank you!

Im a mechanical engineer student, as such i have taken dynamics which from i understand is analogous to Classical Mechanics physics majors take with probable less complexity than the physics major. That being said, i now understand so much more because in my class all these formulas were handed out as tools and i literally didnt understand how each "tool" worked or what it did. This helps sooooooo much understanding the mechanics.

Wonderful, you are more deserving of my tuition fee to you rather than some of my professors. If I ever get rich, you will get a fat cheque in the mail as well earned payment for all I've learnt from you!

what will happen to potential energy if bob is suspended by a rubber band?plz tell

i learnt very simply by you sir,.......thank you.. four this

Awesome. I became curious with the derivation of the equation of motion for a simple pendulum using Lagrangian Mechanics. This didn't disappoint.

Can you please explain how the function will be the same when if we differentiate it with theta as you have said at 4:00

Great video but I am disapointed that the part of solving diffrencial equation was totally skiped

3:47 if you multiply mg (l-l*cos(theta)), u get mgl-mgl*cos(theta), and mgl is constant, and constant doesnt matter in potential energy so u can forget this term, and u are left with -mgl*cos(theta) . It simplifies things, but doesnt matter i guess, bcz u're gonna do derivative later, so it will drop out anyways

How theta double dot + omega square theta = 0 became theta in function t sir?

Method of teaching is superbbb😉

SOOOOOOOO great the video!!!!Thank you sir~!

great video nice explanation, i love it

Sir you are great your videos are very helpful .thanks for these videos sir☺️☺️

thank you...amazing and simple

Thnak u sir u r method is very easy to understand

1:00 why dont we include additional kinetic energy? +mv^2/2?

Please can you tell me how you solved the last equation to get theta = Axsin(wt)? I tried and I tried but couldn't have understanding it.

OMG! Thank you sm for this explanantion. It really helps me understand

Perfect explanation

Another neat trick is to assign the roof where the pendulum is attached be the ground, or place where the potential is zero. The potential energy of the system is -mglcos θ, and the kinetic energy stays the same.

Thanks for the excellent explanation. I have a question that confuses me, what if the pendulum moves horizontally. not vertical as exemplified in the video. What are the potential and kinetic equations? I can't find it on youtube, I hope you help me

Thank u it really helps me plz upload more videos

Is it natural frequency omega_n = sqrt(g/l) and angular velocity omega = v/l ? They are both called omega in this so it is a little confusing.

sir may u please tell me where we take positive potential energy and where negative potential energy in finding Lagrangian .i am quite confused

You SIR are a legend! I just had one question, @ 7:15 I understand that sin(theta) is theta but I don't understand why we needed it to formulate the equation. Wouldn't we be happy with a final equation containg sin(theta)? Thanks a lot.

this guy is amazing!!!!

Fantastic video

Thank goodness that I came across, Langrange has been my nightmare. Now I understand thank you Sir

Really a useful short lecturer.

wow this was quit complicated but I understood it now I can solve the double pendulum problem

I didnt quite understand how we went from thetha(doubledot)+omega^2*thetha to thetha(t)=A*sin(omega*t)? is it just a thing you remember or is there a way to derive it?

Thanks for your video, Sir. But I'm so confused. On your previous video (the SMH), we got the equation is x double dot + w2x = 0 and the solution is x = A cos (wt). But in this one, we got the similiar equation, which is theta double dot + w2 theta = 0. Those to are exactly the same but the variable, the one is x and the one is theta. But why the solution is different? The x one is cos and the theta one is sin?

Sir from where should I read the theory of lagrangian mechanics For even better understanding?

When computing the partial of L with respect to theta. Shouldn't you also get a theta dot term?

Sir when sin theta = theta, Then can we use this pendulum as harmonic oscillator.

Nice and easy to get it.

Question: How do we calculate the time till that SIMPLE PENDULUM practically STOPS in air at STP? 'standard Temperature and Pressure' = normal day at a comfortable temeperature'

Your videos are great I love them

I love this video

Sorry to (probably) misplace this comment/request, but... I have been a model railway enthusiast since ever and have been bothered by the following problem. Assume you have a train consisting of one locomotive pulling some freight cars: the first cars being flat deck cars with no load on them, followed by some much heavier box (closed-chassis) cars or even another loc. Now when the train takes a turn, in model trains the flat cars would most probably cut the turn and derail, while in real life the train would probably pass the turn successfully. Obviously, this depends on the radius of the turn, as well as on the mass distribution of the vehicles. Could also be that the type of wheels ("bogies") play a role. I am aware that the mass of the model rolling stock is often not to scale, but would you be able to explain all the dependencies/vectors involved in this problem? What are the critical points here for the train to pass the turn successfully? Thank you.

Effect of relativity on spring masss system lagrangian

Sir I know that it may be not a question to this chapter (because I should now it) but how is it that at 5:30 while taking the partial derivative m and g haven't been differentiated but the cos has been ??? Thank You for Your great work :)

Thank you sir

Will force remain conserve or non-conserve?

Plz sir solved forced harmonic oscillation lagrangian body

this is so helpful

Thank u so much sir thanks alot

The best professor ❤❤ ,🇩🇿🇩🇿

Easy to understand. Thank you.

Just one word Wow.........

Sir, Why we are using Rotational kinetic energy in simple pendulum.. Qn..

Cool lesson keep up

Great video 👍🏻

How can we support/donate to your chanel?

thank you

Interesting! Lagrange gives the same results as using vector notations and Newton's laws...

very very nice

a great relief to south asia...

can't we take the potential energy as -mglcos(theta)??

Thank you sir.

thanks you sir

but sir here length is constant then how can we consider it..

Thank you so much, sir !

Thank you 🌷

I always find it impressive when people can just look at a differential equation and just know the general solution. That's where I trip up. I get a good bit through some math and then run into a differential equation and I am just not sure what the general solution looks like on top of my head. Thanks for the video!

A very good lecture, Thank you Sir!

I thought ½Iω² only applied to a body that's rotating. Not a body on a circular motion. Could you please clarify?

Beautiful

Beautifully explained, sir . Thank you so much . Just a friendly suggestion , instead of Theta dot, writing theta dash avoids confusion .. in terms of reading

how to solve this differential equation ? theta ( double dot ) + (g / l )*sin theta = 0 for theta as a function of something.

I'm confused why the m's cancel out when there is a double negative.

Thanks🙏🙇 sir

the general solution to the differential equation should include an arbitrary phase constant, Asin(ωt - φ)

I would rather take the potential energy in the first place, as the y component of the mgl which is mglcos(theta), which simplifies the thing.

How can you just say sin(theta) = theta? What if you want the exact solution? My professor does not like approximations.

Equation of motion of a compound pendulum..V=-mglcos‌‌© why v=negative

Good job sir but you must discuss conditions and degree of freedom in details

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Thanks u so much Sir

Thanks sir❤🙏

Great .