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: https://courses.physicswithelliot.com/notes-sign-up Take the full course on Lagrangian mechanics: https://courses.physicswithelliot.com/lagrangian-fundamentals-page 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: https://www.physicswithelliot.com/lagrangian-hamiltonian-mini More to learn: - All About Pendulums: https://www.youtube.com/watch?v=0q0L7Fj4dk8 - The Principle of Least Action: https://www.youtube.com/watch?v=sUk9y23FPHk - The Relativistic Action: https://www.youtube.com/watch?v=KVk1QNTWBxQ - Noether's Theorem: https://www.youtube.com/watch?v=O0NYaO_OnH4 - Poisson Brackets: https://www.youtube.com/watch?v=Nd4b0_vJZUk Online tutoring inquiries: https://www.physicswithelliot.com/tutoring 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 https://www.Patreon.com/PhysicsWithElliot, or make a one time contribution at https://www.physicswithelliot.com/support-me. 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 https://www.physicswithelliot.com/.