Das Doppelpendel - Bewegungsgleichungen, Lagrange Gleichung 2.Art (Physik)

Link to the playlist - Classical Mechanics: 🔗   • Klassische Mechanik   In this video, we'll look at a classic example of the Lagrange equation of the second kind, namely the double pendulum. Our goal is to use the Lagrange equation of the second kind to formulate the equations of motion that describe the double pendulum. The Lagrange formalism is an alternative formulation of classical mechanics and, in many cases, has significant advantages over Newtonian mechanics. Would you like to support my channel? - Then check out my Patreon page: 🔗  / think_logic   Timestamps: 0:00 - The double pendulum 0:30 - Choosing generalized coordinates! 6:25 - Calculating the Lagrange function! Thumbnail images: https://www.freepik.com/free-photo/re..." Image by rawpixel.com on Freepik . Would you like to support my channel? - Here's my PayPal link: 🔗https://www.paypal.com/donate/?hosted... 📚My book recommendations for physics studies📚 If you purchase one of my book recommendations via the Amazon links below, I will receive a small commission as an Amazon Associate. These two textbooks are the standard references for beginning physics studies. I was personally very satisfied with the second book in the series on electricity and optics, and I still use it frequently to look up certain topics. I have the first book. I only bought it at the end of my first semester, so I didn't use it that often, but it helped me a lot with certain exam preparation topics! The books are also suitable for preparing for your studies before starting, especially since there are exercises at the end of each chapter, and the solutions to these exercises are also provided at the back of the book. (I would probably skip the first chapter of Experimental Physics 1.) ▶︎ Experimental Physics 1: Mechanics & Heat by Wolfgang Demtröder Amazon link: https://amzn.to/3DQBADP ▶︎ Experimental Physics 2: Electricity and Optics by Wolfgang Demtröder Amazon link: https://amzn.to/3DYgnaX After the first year of your studies, you continue with in-depth courses on theoretical mechanics, quantum mechanics, and electrodynamics & statistical physics (thermodynamics). My book recommendations on these topics are partly in German and partly in English. This is because sooner or later (at the latest during your master's program) you will need to learn more about physics. All lectures are held in English. I've also had very good experiences with all of these books! ▶︎ Classical Mechanics by John R. Taylor Amazon link: https://amzn.to/3r5Eixw ▶︎ Modern Quantum Mechanics by J.J. Sakurai Amazon link: https://amzn.to/3UFvJa9 I primarily used this book for my first quantum mechanics course and was very satisfied. ▶︎ Introduction to Quantum Mechanics by David J. Griffiths Amazon link: https://amzn.to/3BMZc9w As an alternative to Sakurai's book, I also ordered this book and can definitely recommend it. It covers all the important topics, but I would lean more towards the other option. ▶︎ Introduction to Electrodynamics by David J. Griffiths Amazon link: https://amzn.to/3LIjPbw Thanks for watching!