Lagrangian Mechanics - Lesson 1: Deriving the Euler-Lagrange Equation & Introduction

►►►CHECK OUT OUR MOST POPULAR, BEST-SELLING Udemy COURSES: http://udemy.thekaizeneffect.com/ http://relativity.thekaizeneffect.com/ http://explore.thekaizeneffect.com/ ►►►Join our Facebook community to sharpen your mind and interact with others:   / sharpenyourmind   ►►►Book one of our legendary programs and get extra help: http://www.thekaizeneffect.com/Servic... ►►►Donate to support our underlying mission and goals: https://www.paypal.com/cgi-bin/webscr... Lesson Description: ************************************** In this lesson, the basic tenants and principles of Lagrangian mechanics are explored. In particular, we establish the fundamental backbone for this branch of physics: Calculus of Variations. This is accomplished by first deriving the Euler-Lagrange Equation. Then, it's used to prove that the shortest distance between two co-planar points is a straight line connecting them. Before proceeding to subsequent lessons, it is ABSOLUTELY ESSENTIAL that you understand the concepts conveyed in this video. Remember, physics is like the philosophy of life translated into the language of mathematics. What do you think will happen if you can't speak the mathematical language essential for explaining it? You'll ultimately struggle to express your ideas and do the physics. Well, Calculus of Variations is the language fueling Lagrangian Mechanics, so it's imperative that you understand it before proceeding. Otherwise, you won't be able to convey your ideas and will struggle with concepts! If you need any assistance with this information, feel free to check out our services or send me an email: http://www.thekaizeneffect.com/servic... [email protected] Discussed Topics: ************************************** Introduction to Concepts 0:17 The Principle of Least Action 7:18 Deriving the Euler-Lagrange Equation 12:52 Example - Proving the Shortest Path Between 2 Points 50:21