Lagrangian Mechanics - Lesson 4: The Lagrangian & Lagrange's Equations
►►►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: ************************************** Over the past few videos in this series, we've been developing our understanding of calculus of variations. In other words, we've developed a rigorous foundation in the mathematical language driving Lagrangian Mechanics. Now, it's time to finally put that understanding to use! In this video, we're going to explore the foundational concepts driving Lagrangian Mechanics. In particular, I'm going to show you how the Lagrangian function leads to stationary points in Hamilton's principles. Then, we'll run through a few examples to illustrate some of its main advantages: the elimination of vectors, removal of constraint forces, invariant to coordinate system, etc. By the end of this lesson, you'll have all of the essential tools for using Lagrangian Mechanics and can apply it to almost any system. 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]
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