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Watch GIGS on Samsung TV Plus: 🤍?action=play&target_tab=discover&target_id=GBBD3000004VR&target_type=1 ZZ Top - La Grange (Live From Gruene Hall) Available Now: 🤍 Produced by the Emmy award-winning Banger Films, ZZ TOP: THAT LITTLE OL’ BAND FROM TEXAS tells the story of how three oddball teenage bluesmen - Billy Gibbons, Dusty Hill, and Frank Beard – became one of the biggest, most beloved bands on the planet, all while maintaining a surrealist mystique that continues to intrigue fans and entice onlookers 50 years after the band’s inception. Buoyed by candid band interviews, never-before-seen archive, animation, celebrity fan testimonials (Billy Bob Thornton, Joshua Homme and more), and an intimate performance at the legendary Gruene Hall shot exclusively for this documentary, “That Little Ol’ Band” runs the gamut, from the absurd to the poignant, from squalid Texas bars to MTV heroics, all in celebration of this notoriously private, but larger than life, power trio. In the end, ZZ TOP: THAT LITTLE OL’ BAND FROM TEXAS unravels the extraordinary tale of a band whose image we know, but whose story we don’t. = Subscribe: 🤍 Official site: 🤍 = #ZZTop #LaGrange #ThatLittleOlBandFromTexas
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: 🤍 The Lagrange multiplier technique is how we take advantage of the observation made in the last video, that the solution to a constrained optimization problem occurs when the contour lines of the function being maximized are tangent to the constraint curve.
La Grange by ZZ Top with lyrics! Please comment and rate! LYRICS: Rumour spreadin' a-'round in that Texas town 'bout that shack outside La Grange and you know what I'm talkin' about. Just let me know if you wanna go to that home out on the range. They gotta lotta nice girls ah. Have mercy. A haw, haw, haw, haw, a haw. A haw, haw, haw. Well, I hear it's fine if you got the time and the ten to get yourself in. A hmm, hmm. And I hear it's tight most ev'ry night, but now I might be mistaken. hmm, hmm, hmm. Ah have mercy.
This calculus 3 video tutorial provides a basic introduction into lagrange multipliers. It explains how to find the maximum and minimum values of a function with 1 constraint and with 2 constraints. 3D Coordinate System: 🤍 3D Distance Formula: 🤍 Equation of a 3D Sphere: 🤍 Calculus 3 - Intro to Vectors: 🤍 Calculus 3 - The Dot Product: 🤍 Angle Between Two Vectors: 🤍 Parallel & Orthogonal Vectors: 🤍 Direction Cosines and Vectors: 🤍 Calculus 3 - Vector Projections: 🤍 Cross Product of 2 Vectors: 🤍 _ Area - Vector Cross Product: 🤍 Triple Scalar Product: 🤍 Vector Equations of Lines: 🤍 The Equation of a Plane: 🤍 Planar Equation - 3 Points: 🤍 Lines & Planes - Intersection: 🤍 Angle Between Two Planes: 🤍 Distance Between Point and Plane: 🤍 Chain Rule - Partial Derivatives: 🤍 Implicit Partial Differentiation: 🤍 _ Directional Derivatives: 🤍 Limits of Multivariable Functions: 🤍 Double Integrals: 🤍 Local Extrema & Critical Points: 🤍 Absolute Extrema - Max & Min: 🤍 Lagrange Multipliers: 🤍 Triple Integrals: 🤍 2nd Order - Differential Equations: 🤍 Undetermined Coefficients: 🤍 Variation of Parameters: 🤍
Lagrange Multipliers solve constrained optimization problems. That is, it is a technique for finding maximum or minimum values of a function subject to some constraint, like finding the highest point on a mountain subject to the fact you can only walk along a trail. In this video we study the contour lines or level curves of a function and see geometrically why they are maximized when they are tangent to the constraint curve. That tangency condition leads to the algebraic formula that the gradient of f is equal to lambda times the gradient of g. In this video we will visualize the geometric meaning and then walk through a concrete example. YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! ►Full Multivariable Calculus Playlist: 🤍 Other Course Playlists: ►CALCULUS I: 🤍 ► CALCULUS II: 🤍 ►DISCRETE MATH: 🤍 ►LINEAR ALGEBRA: 🤍 * ► Want to learn math effectively? Check out my "Learning Math" Series: 🤍 ►Want some cool math? Check out my "Cool Math" Series: 🤍 ►Follow me on Twitter: 🤍 * This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria. BECOME A MEMBER: ►Join: 🤍 MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: 🤍
Provided to YouTube by Rhino/Warner Records La Grange (2005 Remaster) · ZZ Top Tres Hombres ℗ 1973 Warner Records Inc. Producer: Bill Ham Guitar, Vocals: Billy Gibbons Bass Guitar: Dusty Hill Vocals: Dusty Hill Drums, Percussion: Frank Beard Engineer: Robin Brian Engineer: Terry Manning Composer, Writer: Billy Gibbons Writer: Dusty Hill Writer: Frank Beard Composer: Frank Lee Beard Composer: Joe Michael Hill Auto-generated by YouTube.
MIT 2.003SC Engineering Dynamics, Fall 2011 View the complete course: 🤍 Instructor: J. Kim Vandiver License: Creative Commons BY-NC-SA More information at 🤍 More courses at 🤍
When you first learn about Lagrange Multipliers, it may feel like magic: how does setting two gradients equal to each other with a constant multiple have anything to do with finding maxima and minima? Here's a visual explanation. ~~~ This video was funded by Texas A&M University as part of the Enhancing Online Courses grant. ~~~ The animations in this video were mostly made with a homemade Python library called "Morpho". You can find the project here: 🤍
Lagrange Points are special locations in planetary systems where gravitational and rotational forces cancel out. Sometimes we find asteroids or dust clouds lingering near these places. Space missions may use some of these locations for spacecraft as they offer many advantages over orbiting in the Earth directly. Universe Sandbox is used for some of the 3 body problem animations 🤍 Other graphics are created with GMAT and POV Ray For a more mathematical derivation of these check out this series: 🤍 Follow me on Twitter for more updates: 🤍 I have a discord server where I regularly turn up: 🤍 If you really like what I do you can support me directly through Patreon 🤍
Lagrangian Mechanics from Newton to Quantum Field Theory. My Patreon page is at 🤍
Check out Brilliant for 20% off: 🤍 Is Lagrangian mechanics powerful enough to replace Newton's laws? What does the principle of least action say about cause and effect (causality)? What the heck is an action? Let's find out! VIDEO ANNOTATIONS/CARDS Lagrange Points: 🤍 What the HECK is Energy? 🤍 Is Math the Language of the Universe? 🤍 RELATED YOUTUBE VIDEOS Up & Atom on Lagrangian Mechanics: 🤍 Eugene on on Lagrangian Mechanics: 🤍 3blue1brown on Phase Space: 🤍 SUPPORT THE SCIENCE ASYLUM Patreon: 🤍 Advanced Theoretical Physics (eBook): 🤍 Merchandise: 🤍 HUGE THANK YOU TO THESE PATRONS Warden of the Asylum: YDT Asylum Counselors: Matthew O'Connor Asylum Orderlies: Daniel Bahr, William Morton, I'mKorgThisIsMiek Einsteinium Crazies: Albert B. Cannon, Eoin O'Sullivan, Tim Ruffles, LT Marshall Faulds, Ilya Yashin, Wacky Plutonium Crazies: JKLMN Anderson, Al Davis, Kevin MacLean Platinum Crazies: Fletch, Stephen Blinn, Felipe Cruz, Vittorio Monaco, Mikayla Eckel Cifrese, Evgeny Ivanov OTHER SOURCES 🤍 🤍 LINKS TO COMMENTS 🤍 IMAGE CREDITS Lagrange: 🤍 🤍 Fermat: 🤍 ibn al-Haytham: 🤍
There's a lot more to physics than F = ma! In this physics mini lesson, I'll introduce you to the Lagrangian and Hamiltonian formulations of mechanics. Get the notes for free here: 🤍 Take the full course on Lagrangian mechanics: 🤍 When you take your first physics class, you learn all about F = ma-i.e. Isaac Newton's approach to classical mechanics. But there's a lot more to mechanics than F = ma, and modern physicists actually more commonly use two other formulations of mechanics: the Lagrangian and Hamiltonian formalisms. In this video, I'll teach you the basics of both. They're not only powerful approaches to classical mechanics, they're also fundamental to the way we think about quantum mechanics! Get the PROBLEM SHEET, the SOLUTIONS, and the ANIMATIONS: 🤍 More to learn: - All About Pendulums: 🤍 - The Principle of Least Action: 🤍 - The Relativistic Action: 🤍 - Noether's Theorem: 🤍 - Poisson Brackets: 🤍 Online tutoring inquiries: 🤍 If you find the content I’m creating valuable and would like to help make it possible for me to continue sharing more, please consider supporting me! You can make a recurring contribution at 🤍 or make a one time contribution at 🤍 Thank you so much! About physics mini lessons: In these intermediate-level physics lessons, I'll try to give you a self-contained introduction to some fascinating physics topics. If you're just getting started on your physics journey, you might not understand every single detail in every video-that's totally fine! What I'm really hoping is that you'll be inspired to go off and keep learning more on your own. About me: I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at 🤍.
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: 🤍 How a special function, called the "Lagrangian", can be used to package together all the steps needed to solve a constrained optimization problem.
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In 2013, ZZ Top treated the Stern Show to a special extended version of their hit “La Grange” and told Howard the song's origin story. Watch more performances from inside Howard’s studio on the SiriusXM app: 🤍 SUBSCRIBE for more videos: 🤍 Want to know what's going on with Howard Stern in the future? Follow us on Twitter: 🤍 On Facebook: 🤍 On Instagram: 🤍 For more great content from the Howard Stern Show visit our official website: 🤍 Hear more Howard Stern by signing up for a free SiriusXM trial: 🤍 #HowardStern #ZZTop #DustyHill #BillyGibbons #FrankBeard #ClassicRock #SternShow
Watch GIGS on Samsung TV Plus: 🤍?action=play&target_tab=discover&target_id=GBBD3000004VR&target_type=1 Available Now: 🤍 Double Down Live is a 2 DVD set from ZZ Top combining shows from 1980 and 2008. Disc one was filmed at the Grugahalle in Essen, Germany for the Rockpalast TV series. Hot on the heels of their classic Deguello album (it features 9 of the 10 songs from it) the show finds ZZ Top before sequencers and synthesizers epitomising their lil ol blues band from Texas nickname. Complimented by tracks drawn predominantly from their Tres Hombres and Fandango! albums this is a true best of ZZ Top in the seventies. Disc Two was shot during their European tour in 2008 and combines great live performances, interview clips and backstage footage to create the ultimate ZZ Top on the road movie. With nearly 30 years between the performances the two disc set gives a fascinating then and now insight into what has maintained the ZZ Top live phenomenon. Rumour spreadin' a-'round in that Texas town 'bout that shack outside La Grange and you know what I'm talkin' about. Just let me know if you wanna go to that home out on the range. They gotta lotta nice girls ah. Have mercy. A haw, haw, haw, haw, a haw. A haw, haw, haw. Well, I hear it's fine if you got the time and the ten to get yourself in. A hmm, hmm. And I hear it's tight most ev'ry night, but now I might be mistaken. hmm, hmm, hmm. = Subscribe: 🤍 Official site: 🤍 = #ZZTop #LaGrange #DoubleDownLive
The Lagrange Points are places where the forces acting on an object are perfectly balanced so that its orbit does not change. The James Webb Space Telescope will be parked near the Earth's L2 point. There are thousands of asteroids near Jupiter's Lagrange points which are called the trojans. This video has made use of data provided by the International Astronomical Union's Minor Planet Center.
Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) 🤍 !! Please consider supporting me on Patreon! Be a Patron of Mathematics! 🤍 LaGrange Multipliers - Finding Maximum or Minimum Values using Lagrange Multipliers. An outline of the general procedure along with a concrete example are shown. For more free math videos, visit 🤍
🤍 00:00 Why all this? 00:52 Action Functional 01:53 Nature is extemal 02:44 Calculate the action 03:52 Structure of the Euler-Lagrange equation 05:20 Lagrange function 05:54 How to use Euler-Lagrange equation More: 🤍 Books by Alexander Fufaev: 1) Equations of Physics: Solve EVERY Physics Problem 🤍 2) Alexander Fufaev and His Never Ending Story: 🤍
ZZ Top - La Grange (From "Double Down Live - 1980") Available Now: 🤍 Double Down Live is a 2 DVD set from ZZ Top combining shows from 1980 and 2008. Disc one was filmed at the Grugahalle in Essen, Germany for the Rockpalast TV series. Hot on the heels of their classic Deguello album (it features 9 of the 10 songs from it) the show finds ZZ Top before sequencers and synthesizers epitomising their lil ol blues band from Texas nickname. Complimented by tracks drawn predominantly from their Tres Hombres and Fandango! albums this is a true best of ZZ Top in the seventies. Disc Two was shot during their European tour in 2008 and combines great live performances, interview clips and back stage footage to create the ultimate ZZ Top on the road movie. With nearly 30 years between the performances the two disc set gives a fascinating then and now insight into what has maintained the ZZ Top live phenomenon. Rumour spreadin' a-'round in that Texas town 'bout that shack outside La Grange and you know what I'm talkin' about. Just let me know if you wanna go to that home out on the range. They gotta lotta nice girls ah. Have mercy. A haw, haw, haw, haw, a haw. A haw, haw, haw. Well, I hear it's fine if you got the time and the ten to get yourself in. A hmm, hmm. And I hear it's tight most ev'ry night, but now I might be mistaken. hmm, hmm, hmm. Ah have mercy. = Subscribe: 🤍 Official site: 🤍 = #ZZTop #LaGrange #DoubleDownLive
Watch Billy F Gibbons perform his ZZ Top hit "La Grange" at Skyville Live with a little help from ZZ Ward, orianthi, Frankie Ballard, and Mike Henderson 🤍
They got a lot of nice girls there
We're jamming out to La Grange by ZZ Top today! Let's break it down! Latest Content - 🤍 Patreon - 🤍 Website - 🤍 TikTok - 🤍 Instagram - 🤍 Reddit - 🤍 Twitter - 🤍 Facebook - 🤍 Bandsintown - 🤍 Free Boss Katana Patches - 🤍 My Favorite Guitar + Filming Gear at Sweetwater 🤍 Disclosure: I only recommend products I would use myself and all opinions expressed here are my own. The link above is an affiliate link, that at no additional cost to you, I may earn a small commission on.
R.I.P. Dennis Hopper and Peter Fonda I do not own copyrights to this video, neither I get any financial or any other benefit from it. It is merely for entertainment and promotional purposes. If you own copyright, please contact me and I will take it down.
Here is my short intro to Lagrangian Mechanics Note: Small sign error for the motion of the ball. The acceleration should be -g. Link to code to calculate least action 🤍 Calculus of variations to find the shortest distance between two points 🤍 Brachistochrone problem 🤍
What’s a Lagrange point? On this explainer, Neil deGrasse Tyson and comic co-host Chuck Nice explain orbits, satellites, and Lagrange points in space. Big thanks to today's sponsor, Henson Shaving. Head to 🤍 and use code STARTALK at checkout to purchase your razor and get 100 blades for FREE. What do L1, L2, L3 mean? We dive into the physics of how objects in orbit are actually falling. You’ll learn about these regions of stability and how the moon’s orbit help create them. How many are there? How do we use Lagrange points? Are there differences between them? We discuss where we put the James Webb Space Telescope and why it's important. Where’s the Discover satellite? We break down Lagrangian placements in space and the Trojan and Greek asteroids of Jupiter. All that and more on another StarTalk explainer! Get the NEW Cosmic Queries book (5/5 ⭐s on Amazon!): 🤍 Support us on Patreon: 🤍 FOLLOW or SUBSCRIBE to StarTalk: Twitter: 🤍 Facebook: 🤍 Instagram: 🤍 About StarTalk: Science meets pop culture on StarTalk! Astrophysicist & Hayden Planetarium director Neil deGrasse Tyson, his comic co-hosts, guest celebrities & scientists discuss astronomy, physics, and everything else about life in the universe. Keep Looking Up! #StarTalk #NeildeGrasseTyson 0:00 - Sponsored By Henson Shaving 1:48 - Introduction 2:25 - How Objects Move In Orbit 3:16 - The First Point Of Lagrange 5:22 - The Second Point Of Lagrange 7:05 - The Third Point Of Lagrange 7:51 - Why L4 And L5 Are Special 9:20 - The L5 Society 10:03 - Where We Parked The James Webb Space Telescope 12:07 - Where We Parked The Discovery Telescope 12:55 - The Unstable Lagrangian Points 14:11 - The Trapped Asteroids At Lagrangian Points 15:38 - Closing Notes
Calculus 3 Lecture 13.9: Constrained Optimization with LaGrange Multipliers: How to use the Gradient and LaGrange Multipliers to perform Optimization, with constraints, on Multivariable Functions.
In this episode, we cover the history of Joseph-Louis Lagrange, an Italian-born French mathematician who was one of the founders of the calculus of variations and developer of Lagrangian Mechanics. As per usual, I don't go too deeply into the mathematics, focusing primarily on the history. NOTE: The Curie's won the Nobel Prize, not the Nobel "Peace" Prize. Apologies for the misspeech. Sources: 🤍 DISCORD ►► 🤍 PATREON ►► 🤍 TIMESTAMPS 0:00 Intro screen 0:10 Intro 0:35 Early Life 3:41 Turin 8:52 Berlin 12:58 Paris 18:06 Death / Fin
Actual start date: July 3, 2017 South Cam: 🤍 North Cam (Chat): 🤍 This is a live stream of La Grange, Kentucky USA, for people who enjoy watching trains. You are welcome to join our family friendly chat, but keep in mind that this is a community with rules already established. Please check them out below. County-owned Cam between them: 🤍 Audio feed for the CSX LCL Sub: 🤍 Thank you, Ken! A HUGE thanks to Andy Work 🤍 Laser Technologies for hosting these cams. We would also like to thank the City of La Grange for their assistance in this location, with a special thanks to Mayor Joe Black, City Councilman Joe Davenport and Tom Haus. Visit their website: 🤍 Duplication or distribution of our videos is STRICTLY prohibited without permission. Official policy here: 🤍 CHAT RULES: • Be polite and respectful • Please use English, we need a single language to be able to understand each other. If you’re not fluent, use a translator such as Google Translate: 🤍 • Don’t post in ALL CAPS or use excessive emojis, letters or characters. • Don’t discuss politics, religion, race, sex, violence, disturbing details about train or vehicle accidents, or anything like that. We try to be mindful of any children who may be watching. • Don't use the terms "foamer" or "foaming" in your comments or your username. Many railfans find them derogatory and offensive. • The conversation here is trains, and please remember that it needs to come first. • Please keep personal details out of the chat. Remember, you are sharing information with hundreds of people, not just those directly involved in the chat. • Don’t ask to become a moderator. It’s earned. If we’re interested in your assistance, we will contact you. • Please don’t use our chats to seek attention, stand on your soapbox, or criticize other people’s presences or contributions • Just be nice, it’s amazing what happens when we’re all nice to each other. THINGS THAT WILL GET YOU BANNED: • Inappropriate usernames or avatar • Profanity • Coming into chat for the sole purpose of asking for subscriptions (subs) or to blatantly promote your channel • Being intentionally disruptive, creating arguments or any other jerk-like behavior • Not following the moderators’ instructions • Blocking a moderator (including Nightbot) ABOUT THIS FEED: The town of La Grange, Kentucky, in North Central Kentucky, is located on the CSX LCL Subdivision, at milepost 26.8. The LCL Sub is the former Louisville & Nashville Railroad (L&N) "Short Line", originally the Louisville, Cincinnati & Lexington Railroad. On the (default) north camera can be seen the signal at the south end of La Grange siding, at milepost 27.0, and the siding is 8,330 feet in length. In regards to that signal and approaching northbound trains, if the train is lined into the siding the signal with have a red-over-lunar (white) aspect, and if it's lined through on the main track the signal with display either a green-over-red or yellow (amber)-over-red aspect. The town gets ~11 CSX freight trains daily. It’s a designated quiet zone, but the crew can use the horns at their discretion. The speed limit for trains as they enter the street-running portion is 10 miles per hour (MPH), until the engines have cleared said street-running, at which point they are allowed to increase their speed to 20 MPH. Train log: 🤍 Virtual Railfan and our mods are not affiliated with train logs, they are maintained by volunteers. Please reach out to them outside of our chats for more detailed information or to discuss the mechanics of logging. Thanks to everyone who contributes faithfully to it! When’s the next train? There’s no schedule for freight, but some of our more knowledgeable members will provide real-time information when it’s available. Please refrain from asking. ABOUT VIRTUAL RAILFAN: Website: 🤍 Facebook: 🤍 Twitter: 🤍 Instagram: 🤍 Links to the Free VRF YouTube Cams. 🤍 Links for Virtual Railfan Members - Full Cam List: 🤍 Want to help keep a certain cam on YT or just help us keep things up to date? You can donate here via SuperChat (dollar icon) or at 🤍 Know a good location for a camera? We’d love to hear about it, If you have any contacts in the area, please let us know. Please fill out this form on our website: 🤍 Comments? Send them to community🤍virtualrailfan.com
In this video, we discover the classical Lagrangian, the principle of stationary action and the Euler-Lagrange equation. For the best viewing experience, make sure to watch in full-screen and with 4K (2160p) resolution. Music in the background from 🤍 Blackboard image by Gerd 'geralt' Altmann at 🤍 #Physics #Lagrangian #Mechanics
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L'Institut Henri Poincaré produit un documentaire exclusif de 32 minutes sur le mathématicien d'exception Joseph-Louis Lagrange, en coproduction avec le CNRS Images et en partenariat avec l'Institut Lagrange de Paris. Lagrange retrace la vie de Joseph-Louis Lagrange, mathématicien à l’époque des Lumières. D’abord académicien protégé des puissants, Lagrange est devenu progressivement professeur en charge d’éduquer les nouveaux Citoyens pendant la Révolution Française. Retraçant ses pas, le film nous emmène à Turin, sa ville natale, à Berlin où il compléta ses travaux de mécanique céleste, avant de rejoindre Paris. Le film questionne ainsi l’implication des hommes de sciences dans la vie politique de l’époque. _ Intervenants scientifiques : Bruno Belhoste - Anne-Sophie Bonnet-Bendhia - Jenny Boucard - Alberto Conte - Laurent Guin - Eberhard Knobloch - Jacques Laskar - Thomas Morel - Maria Munoz - Luigi Pepe - Jérôme Pérez - Silvia Roero - Cédric Villani Production : Cédric Villani, Jean-Philippe Uzan Direction scientifique : Frédéric Brechenmacher Réalisateur : Quentin Lazzarotto En collaboration avec le CNRS Images et en partenariat avec l'Institut Lagrange de Paris. Remerciements : Ce film a bénéficié du soutien de l'Université Pierre et Marie Curie sur un financement du Labex Carmin. Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : 🤍 Twitter : 🤍 Instagram : 🤍
Featuring: Billy Gibbons from ZZ Top
Newtonian Mechanics is the basis of all classical physics... but is there a mathematical formulation that is better? In many cases, yes indeed there is! Lagrangian mechanics, named after Joseph Louis Lagrange, is a formulation of classical physics that is often more convenient to use than Newtonian Mechanics. The first concept worth knowing about is that a quantity called the "Lagrangian" is defined as L = T - V where T is the kinetic energy of the system we happen to be studying, and V is the potential energy. In this video, we see how to find the Lagrangian for a simple mass-spring system by considering the mass of the block, spring constant of the spring, and motion of the entire setup. We see how to write the kinetic energy (or more specifically the speed of the setup) in terms of the distance moved by the system. Once we have found the Lagrangian for the system, we then see that the "big boi" equation of Lagrangian mechanics is the Euler-Lagrange Equation. This is a complicated (looking) equation that allows us to substitute in the Lagrangian, and churn out an equation of motion for the system. Now the Euler Lagrange Equation (or EL Equation) is consistent with classical Newtonian mechanics - something I'd like to show in a future video. But the important thing is that there is some calculus (normal derivatives and partial derivatives) to be done, after which we will find an equation of motion. Now for the mass-spring system, the equation of motion could have easily been found by considering the forces acting on the system (in this case the force exerted by the spring), and saying that the sum of all the forces was equal to the net force, ma. This is essentially the same as applying Newton's Second Law to our system. And in this case, using forces is MUCH simpler. So why did we go the long way and use Lagrangian mechanics? Well, in many other scenarios, working with forces can be very complicated and fiddly. Working with energies, which is what Lagrangian mechanics does, can be much easier. Additionally, the EL Equation is very well suited to working with multiple coordinates. For example, if an object displays motion in multiple directions, such as x, y, and z, and there are different forces acting in each direction, then with Newtonian mechanics we would have to resolve all the forces in each direction. With Lagrangian mechanics, we simply find the Lagrangian and find an equation for each coordinate - x, y, and z. That just about covers the very basics of Lagrangian mechanics, but it's worth mentioning that it goes much deeper. For example, Noether's Theorem, which talks about the fundamental link between symmetry and conservation laws (conservation of energy, conservation of momentum, etc) is based on the EL equation. It is a very interesting look at some deep universal concepts, and it's based on Lagrangian mechanics! For those of you interested in finding out more about the Euler-Lagrange Equation, please check out this wiki page: 🤍 Thank you all so much for your wonderful support as always! Please check out my socials here: Instagram - 🤍parthvlogs Patreon - patreon.com/parthg Merch - 🤍
Lagrange points are places around a planet where the pull of its gravity, the Sun's gravity and the motion of the orbit are balanced. Things at these points take very little energy to stay in place. NASA’s Lucy mission will visit Lagrange points where "Trojan asteroids" have been trapped for billions of years, holding clues to the formation of our solar system. NASA’s Dr. Adriana Ocampo has more. Learn more about Lagrange Points: 🤍 All about the Lucy mission: nasa.gov/lucy All about the James Webb Space Telescope: 🤍 Credits: NASA Producer: Scott Bednar Producer/Editor: Jessica Wilde
Lagrange-Formalismus, Funktion maximieren, kritische Stellen bestimmen Wenn noch spezielle Fragen sind: 🤍 Playlists zu allen Mathe-Themen findet ihr auf der Startseite unter: 🤍 E-Books, Onlinekurse und Skripte für Mathe findet ihr hier: 🤍 Alle Infos und Kontakte von mir: 🤍 Daniel Jung erklärt Mathe in Kürze. Lernkonzept: Mathe lernen durch kurze, auf den Punkt gebrachte Videos zu allen Themen für Schule und Studium, sortiert in Themenplaylists für eine intuitive Channelnavigation. #MathebyDanielJung #mehrdimensionaleAnalysis #LagrangeFormalismus
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![Lagrange [Documentaire scientifique IHP]](https://i.ytimg.com/vi/K_tAygfZnAE/mqdefault.jpg "Lagrange [Documentaire scientifique IHP]")
