Тёмный

Physics 68 Lagrangian Mechanics (16 of 25) Rolling Disk Attached to Spring 

Michel van Biezen
Подписаться 1,1 млн
Просмотров 72 тыс.
50% 1

Опубликовано:

 

29 окт 2024

Поделиться:

Ссылка:

Скачать:

Готовим ссылку...

Добавить в:

Мой плейлист
Посмотреть позже
Комментарии : 126   
@mateusaugusto1812
@mateusaugusto1812 6 лет назад
You have no idea how much I like and appreciate all your lectures, Professor. Thank you so much I hope to see the end of the playlist :))
@aryankabir4167
@aryankabir4167 3 года назад
you all probably dont care at all but does anyone know a tool to log back into an instagram account?? I stupidly forgot the login password. I would appreciate any help you can offer me!
@Peter_1986
@Peter_1986 8 лет назад
Amazing how easy this problem becomes when you use the Lagrangian method; you pretty much just sum together energy terms and then take derivatives.
@ahmedeleiba7932
@ahmedeleiba7932 4 года назад
We're waiting impatiently. We are very eager to see the rest of the course . We are looking forward to seeing you soon professor.
@VANTABL4CK
@VANTABL4CK 4 года назад
what happened? why aren't there more videos
@Peter_1986
@Peter_1986 4 года назад
@@VANTABL4CK Michel Van Biezen posted this comment a while ago in this comment section: "We still have to make them. We hope to get to them soon. "
@VANTABL4CK
@VANTABL4CK 4 года назад
@@Peter_1986 hmm okay
@ddj9483
@ddj9483 7 лет назад
God bless you Professor, you remind me so much of my 2nd year @ uni and also my Professor and the Teaching Assistant we had. You guys have so much in common. You are a very good teacher and I can guarantee you even the weakest [(I don't really believe in weak & strong abilities. I do put a time derivative on the rate of comprehension for every human to achieve. This implies everybody would be able to reach that point with time. The only difference is the time it takes them to reach. Looking at the way you teach it won't take them too long to reach that level. From experience, I wasn't the brightest of students but I became very strong because of my lecturers and that what you remind me so much of)] students wouldn't struggle too much to follow your lectures and make it through their exams. Please keep the good work up.
@technicaljatin__TJ
@technicaljatin__TJ 10 месяцев назад
PE will be 2kx due to translation and rotational
@salimali6549
@salimali6549 8 лет назад
Greetings Dr. Biezen your videos are awesome, I learn a lot from them... thanks a million :) One advanced math concept which does not contain much resources is tensor calculus and analysis, I would greatly appreciate it if you started a series on this topic (and I'm sure many others would as well). The sources I've seen make it seem extremely complex and don't do any examples for practice, as appose to your teaching style which makes things much easier to understand.
@kaylaa7202
@kaylaa7202 7 лет назад
Watched all your videos in one sitting, can't wait for more! :) I shared your videos with my fellow students as well
@undergroundaunty6378
@undergroundaunty6378 2 года назад
Hello dear sir :) Ur videos are amazing nd I learn a lot from 'em , omg u don't even know how much helpful these vdos were nd how ezy u made it seem to be Also, Me along with tens of Thousands of other physics enthusiasts are eagerly w8ing for ur continuation of dis course.....Seems lyk u forgot to continue it ever :( It wud mean the world to me if u finish both Lagrange nd Hamiltonian Mechanics sir Thank you
@MichelvanBiezen
@MichelvanBiezen 2 года назад
We appreciate your comment. We haven't forgotten, but we are short on time, with our multiple jobs and other responsibilities. We will try to get back to them as soon as possible.
@007acreed
@007acreed 6 лет назад
Sir please upload rest of videos of lagragnian and Hamilton
@MichelvanBiezen
@MichelvanBiezen 6 лет назад
That is the plan for the future as time permits.
@neojf555
@neojf555 6 лет назад
Yes this could be great. Please, do not forget to upload those videos, amazing channel!
@legendkiller9243
@legendkiller9243 5 лет назад
@@MichelvanBiezen sir plse upload the videos it has been 10 months....
@jamjamme
@jamjamme 5 лет назад
Mocht u in de gelegenheid zijn de serie te voltooien zou dat heel erg prettig zijn. Langrangiaanse en Hamiltoniaanse mechanica maken helaas geen onderdeel uit van de ingenieursopleidingen, dus komt het aan op zelfstudie. Uw video-colleges zijn daarbij een welkome aanvulling op boeken. Ik blijf in ieder geval duimen dat u er in de komende tijd aan toe komt deze serie af te maken. :-)
@hadim834
@hadim834 4 года назад
Sir can you please upload the rest it has been about 2 years
@upnorthtootsie72
@upnorthtootsie72 7 лет назад
Thank you so much!! I have my analytical mechanics final tomorrow and I feel so much better about this section. Please do more upper level physics videos when you have the time! (also a big fan of your astrophysics videos)
@aryansonthalia9298
@aryansonthalia9298 4 года назад
Sir this is high time, Your loving subscribers demand you upload more videos of the series and pour some more love on them
@MichelvanBiezen
@MichelvanBiezen 4 года назад
We intend to go back and produce more videos on the Langrangian and the Hamiltonian, but at this point we are very busy at work and so our time is very limited. Hopefully we can get back to it this summer, along with our electrical engineering videos.
@Phyzzics_ch
@Phyzzics_ch Год назад
Dear professor, how can I calculate the potential energy in the event that two masses move freely in a circular guide, while connected together by a single spring with constant k?
@MichelvanBiezen
@MichelvanBiezen Год назад
If we understand your question correctly, the PE of a spring = (1/2) kx^2 And the distance of elongation can be found by F = - kx The force would be the cetripetal force: F = mv^2 / R Therefore x = mv^2 / Rk and then you can find the PE
@Phyzzics_ch
@Phyzzics_ch Год назад
Yes, that is what I meant. I would like to thank you for your support and effort, which is the way to donate to your channel? Thanks again professor, you’re the best.
@evanparshall1323
@evanparshall1323 3 года назад
Thank you for your videos. Would appreciate an example with an external force.
@nidzas
@nidzas 8 лет назад
Professor, will there be more examples? i have an exam coming up in a few days and these are very helpful. Thank you
@MichelvanBiezen
@MichelvanBiezen 8 лет назад
Yes, but not in the near future. Busy with work and covering other topics for now.
@ritulehramt
@ritulehramt 5 лет назад
@@MichelvanBiezen It would be awesome to see more video on Lagrange formalism! :)
@door2code350
@door2code350 3 года назад
@@MichelvanBiezen pls continue this course
@zlatanbrekke6538
@zlatanbrekke6538 3 года назад
Shouldnt it be -w = v/R ? Since v is positive, R is positive and omega is negative? Isn’t that the rolling without slipping condition?
@zlatanbrekke6538
@zlatanbrekke6538 3 года назад
And wouldnt the general solution be x(0)*cos(ωt) + x’(0)/ω*sin(ωt) and not Acos(ωt) ?? (I used Laplace Transform)
@007acreed
@007acreed 7 лет назад
Plzzz upload rest of the video.......U r very good
@MichelvanBiezen
@MichelvanBiezen 7 лет назад
As time permits. We are trying to cover many topics and we still have our "day jobs".
@ollihella
@ollihella 4 года назад
Thank you very much for this lecture series! I learned a lot.
@igorvinicius4305
@igorvinicius4305 3 года назад
thank you for the awesome series!
@MichelvanBiezen
@MichelvanBiezen 3 года назад
Our pleasure!
@sanchitagarwal5839
@sanchitagarwal5839 5 лет назад
Sir wont we consider the instantaneous centre of rotation to calculate I here i.e. (1/2 mr^2)+ (mr^2) ?
@adityakulkarni9230
@adityakulkarni9230 4 года назад
Same doubt
@MaggieBoy12345
@MaggieBoy12345 4 года назад
He's implicitly doing that. KE of a rotating object = (1/2)Iw^2, where I is the moment of inertia about the axis of rotation (the bottom of the disk in this case). If you plug in parallel axis theorem for this I (I = Icm + MR^2), you get the formula he uses (KE = (1/2)mv^2 + (1/2)Iw^2), where I = Icm. Since he already accounts for this in his KE formula, he doesn't have to also use parallel axis theorem during his moment of inertia calculation.
@007acreed
@007acreed 6 лет назад
Lagrangian and Hamiltonion Mechanics start again from were u have left of please
@animals42life8
@animals42life8 7 лет назад
I found something: there must be a difference in tangential velocity of the disk around its periphery and the forward velocity?
@wkblack
@wkblack 8 лет назад
These are brilliant-thanks so much for posting these!
@filiepsamyn4450
@filiepsamyn4450 2 года назад
I could not find any videos beyond 16 of 25. Any idea where the remaining videos are?
@MichelvanBiezen
@MichelvanBiezen 2 года назад
We haven't made them yet. Still a work in progress.
@aryansonthalia9298
@aryansonthalia9298 4 года назад
You promised that you'd make more videos of the above in summer, please make it🙏
@MichelvanBiezen
@MichelvanBiezen 4 года назад
Thanks for reminding me.
@aryansonthalia9298
@aryansonthalia9298 4 года назад
@@MichelvanBiezen Thank you professor, looking forward to it😇
@Matt7pl
@Matt7pl 4 года назад
Hello sir, please finish this series and more topics in Mathematical Physics, I find your teaching methods very helpfu
@SleazyNice
@SleazyNice 2 года назад
6 years later and still haven't completed the series. Maybe by the end of the century.
@MichelvanBiezen
@MichelvanBiezen 2 года назад
It probably won't take that long, but we do have about 100 playlists that need to finished. It will indeed take years.
@rmeducationcentre9435
@rmeducationcentre9435 5 лет назад
Sir your video lectures very helpful to me. And easy understood
@shoopinc
@shoopinc 6 лет назад
Thank you, Michel
@workerpowernow
@workerpowernow 3 года назад
great example
@MichelvanBiezen
@MichelvanBiezen 3 года назад
Thanks!
@matiassantacruz5487
@matiassantacruz5487 4 года назад
Hello, is there anyone that could please help me [I really need help :( ] using the Lagrangian equation to find a function of time and theta for a cycloid? Any help is appreciated!
@CatsBirds2010
@CatsBirds2010 4 года назад
Thank you for all the hard work.
@zaferpekdemir9832
@zaferpekdemir9832 5 лет назад
we need more videos this type , you are awesome teacher thanks for all of things .
@legendkiller9243
@legendkiller9243 5 лет назад
About which point are we calculating moment of inertia..
@lac4forest
@lac4forest 6 лет назад
How will the potential energy differ if the spring is attached to the top of the rolling mass as oppose to the centre?
@MichelvanBiezen
@MichelvanBiezen 6 лет назад
The assumption here is that the spring is attached to the axle of the wheel which allows it to turn.
@SidharthShambu
@SidharthShambu 6 лет назад
Please upload the rest of the videos....🙏🙏🙏
@prakashkumarprakashkumar3959
@prakashkumarprakashkumar3959 5 лет назад
Awesome videos
@venomshrestha1176
@venomshrestha1176 6 лет назад
professor Thank you for this videos. this videos help me to understand the lagrangian problem. i am confusing on other problem too.can you make more videos of example like rolling object in incline plane, a mass m is suspended from a spring, a bead of mas m slides freely on a friction less wire and related other cases too please...
@algebra358
@algebra358 3 года назад
Bruh.. RU-vid University to the rescue again. Thank you Mr. van Biezen!
@chunwaiwong5355
@chunwaiwong5355 5 лет назад
Sir, I wanna ask why the solution doesn't contain the "sin(wt)" terms? As the initial condition of X(t=0) may equal zero but cos term doesn't contain that situation!
@MichelvanBiezen
@MichelvanBiezen 5 лет назад
The functions sin or cos are chosen to match the physical situation of the problem (both in space and time).
@astyutechick7980
@astyutechick7980 4 года назад
Does the lecture series end here or is there more coming to this series? I'm asking cause it says 16 of 25... and this was 4 years ago
@MichelvanBiezen
@MichelvanBiezen 4 года назад
We plan on adding more when we have more time. This is an enormous undertaking for 2 people and we still have multiple jobs. Probably when I retire
@astyutechick7980
@astyutechick7980 4 года назад
@@MichelvanBiezen I see, thanks for the reply! I hope my comment didn't come off as rude.
@MichelvanBiezen
@MichelvanBiezen 4 года назад
No, not at all. We like the feedback that lets us know which topics are most needed or wanted, so we can concentrate on them in the future.
@user-io2he7sj6g
@user-io2he7sj6g 4 года назад
Hi, everyone, I wonder known why the tangent velocity(V=R x W) of the solid disk is equal to the linear velocity(v)??? The derivative in the video used the same notation.
@MichelvanBiezen
@MichelvanBiezen 4 года назад
If a car is driven 1 km, what is the length of the surface of the tire that made contact with the road? (if the circumference of the tire is equal to 2 m, then the tire will make 500 rotations.
@user-io2he7sj6g
@user-io2he7sj6g 4 года назад
@@MichelvanBiezen I got it. Thank you very much prof. V*t = 2*pi*R*N V = 2*pi*R*N / t = 2*pi*R*(N/t) = 2*pi*R*f = R x W
@SleazyNice
@SleazyNice 6 лет назад
Please finish this series.
@EzcanSofu
@EzcanSofu 7 лет назад
Thank you for the great lectures.
@daffafathaniadila1829
@daffafathaniadila1829 8 лет назад
how about if the spring is attached at the r , which is r
@shounakkossambe8109
@shounakkossambe8109 5 лет назад
The moment of inertia of disk should be (3/2)*M*R^2 since the disk is rolling about its edge and therefore we need to apply parallel axis theorem to get moment of inertia.
@MichelvanBiezen
@MichelvanBiezen 5 лет назад
The moment of inertia of any object cannot be more than 1 MR^2
@harshasaripalli
@harshasaripalli 8 лет назад
Hello Professor, would you be adding more videos to Lagrangian and Hamiltonian in next few weeks? I have an exam in a month's time. Thanks for all your videos. Me and my friends love them!
@MichelvanBiezen
@MichelvanBiezen 8 лет назад
I will try. I am very busy with my 3 jobs at this time, so time is my biggest limitation.
@harshasaripalli
@harshasaripalli 8 лет назад
Michel van Biezen Thank you
@shvetaanktripathi2367
@shvetaanktripathi2367 6 лет назад
Hello sir, can you please give me links of next videos of this topic(17th, 18....) As i can't find them. Also can you please suggest me a good book on basics of Lagrangian mech., BASICS.
@MichelvanBiezen
@MichelvanBiezen 6 лет назад
They haven't been made yet. There are many books on Lagrangian mechanics. I don't have any particular preference.
@shvetaanktripathi2367
@shvetaanktripathi2367 6 лет назад
Oh okay. Anyway, thank you. Your videos are really helpful.
@redfire1508
@redfire1508 7 лет назад
Thank you! A query, when generalized forces (Qk) are used?
@MichelvanBiezen
@MichelvanBiezen 7 лет назад
You will see problems like this with generalized forces or with standard notation. It really doesn't make any difference.
@AV-bp3bc
@AV-bp3bc 6 лет назад
Hello Sir, can you make a lecture video for the same rolling disk, but this time spring is offset from the centre by a small distance "d"
@marwaat8772
@marwaat8772 5 лет назад
Please, don’t forget the advance physics
@sanutrivedi1907
@sanutrivedi1907 7 лет назад
what if spring is attached at the top at a distance 2R from the bottom??Reply fast pease professor!!
@ankykolo6526
@ankykolo6526 7 лет назад
Thank You so much! But I have a question, where are the other 9 videos of this topic?? I only found 16/25
@MichelvanBiezen
@MichelvanBiezen 7 лет назад
We still have to make the rest. (A project for the future).
@hadim834
@hadim834 4 года назад
Can you please continue the series i really need them for my exams and i think that the others are still waiting
@simamkhan81
@simamkhan81 4 года назад
Plzzz sir complete this series
@MichelvanBiezen
@MichelvanBiezen 4 года назад
I probably need to retire first, because I am very busy with work at the moment.
@simamkhan81
@simamkhan81 4 года назад
Ok sir😒
@baoenlai6289
@baoenlai6289 6 лет назад
Professor will the rest of the videos be available in the near time? I'm still waiting for the rest ^^ Thank you these are very helpful, god bless you :)
@MichelvanBiezen
@MichelvanBiezen 6 лет назад
It won't be in the near time. We are trying to cover everything, but it will take a while to do so. We are doing everything we can to make as many videos as possible.
@PetrErmolaev
@PetrErmolaev 2 года назад
When watching this after Compound Atwood machine "it's easy as a piece of cake"
@MichelvanBiezen
@MichelvanBiezen 2 года назад
Great. Yes, once you see the approach it becomes managable.
@electrobota1601
@electrobota1601 6 лет назад
Thank you so much!
@ikbeneenpop1
@ikbeneenpop1 5 лет назад
Can you do some examples with matrix notations?
@animals42life8
@animals42life8 7 лет назад
So the kinetic energy of a thrown solid ball is not 1/2mv^2, but 7/10mv^2, even with or without spinning? All this time we're only using the former formula. Please enlighten me anyone. Thanks! XD
@NerdKing9826
@NerdKing9826 6 лет назад
Not necessarily. In the example he gives, the rotation of the ball is related to the translational velocity. This is not always true but tends to be true in cases when a cylinder or ball rolls without slipping. The reason you have more kinetic energy that .5mv^2 is because it requires energy for something to rotate. So, in your example of the solid ball, if the ball is not rotating, you can say that its kinetic energy is .5mv^2, where m represents the mass from the center of mass point.
@ghofraneats3812
@ghofraneats3812 4 года назад
It' cool Please sur i nead exercice with hamilton théory thanx.
@ravichandanreddy3321
@ravichandanreddy3321 6 лет назад
Sir give examples of wedge
@arpitshrivastava4477
@arpitshrivastava4477 4 года назад
Please upload further videos sir
@FirefulXD
@FirefulXD 6 лет назад
i love you
@muhammadhabibannajar1115
@muhammadhabibannajar1115 7 лет назад
professor please make more examples, this is 16/25 video, 😅
@MichelvanBiezen
@MichelvanBiezen 7 лет назад
Yes, we need to finish a number of playlists. (We are doing our best, but we are very busy, working multiple jobs besides making these videos)
@muhammadhabibannajar1115
@muhammadhabibannajar1115 7 лет назад
Michel van Biezen ok i"l wait the next video professor😊
@talhakacar4137
@talhakacar4137 5 лет назад
@@MichelvanBiezen can you upload other videos teacher
@aryansonthalia9298
@aryansonthalia9298 4 года назад
Sir please make more videos
@abhinavswami3584
@abhinavswami3584 5 лет назад
17th one?????
@MichelvanBiezen
@MichelvanBiezen 5 лет назад
We haven't made those yet. That is something for the future.
@SleazyNice
@SleazyNice 5 лет назад
After 3 years and still no time to finish this series. Oh well maybe after the "Test Your Knowledge Series"; Or not.
@MichelvanBiezen
@MichelvanBiezen 5 лет назад
The plan is to get back to it, but as you can tell, we are also trying to cover a lot of other topics
@SleazyNice
@SleazyNice 5 лет назад
@@MichelvanBiezen - I'll check back again next year.
@JohnnyYenn
@JohnnyYenn 8 лет назад
SUPPORT MICHEL VAN BIEZEN ON PATREON!: www.patreon.com/user?u=3236071
@whyte7341
@whyte7341 4 года назад
where are 17 to 25 ?
@MichelvanBiezen
@MichelvanBiezen 4 года назад
We still have to make them. We hope to get to them soon.
@belch1693
@belch1693 3 года назад
@@MichelvanBiezen sir please add those
@rabeakhatun2819
@rabeakhatun2819 4 года назад
we can solve this without lagrangian
@Peter_1986
@Peter_1986 4 года назад
That's not the point - the point is to show how the Lagrangian is set up.
Далее
Use Lagrangian NOT Newtonian Mechanics
10:36
Просмотров 3,5 тыс.
Voy shetga man aralashay | Million jamoasi
00:56
Просмотров 412 тыс.
МЖ. Может, папа - ты? 16.02.2023
40:03
Просмотров 113 тыс.
A Mass-Spring System | Coupled Oscillators
19:02
Просмотров 5 тыс.
Introduction To The Lagrange Multiplier Method
21:25
Просмотров 20 тыс.
Brief overview of Lagrangian Mechanics
11:13
Просмотров 17 тыс.
You don't really understand physics
11:03
Просмотров 187 тыс.
Voy shetga man aralashay | Million jamoasi
00:56
Просмотров 412 тыс.