Constrained Lagrangian mechanics: understanding Lagrange multipliers
Автор: Dr Ben Yelverton
Загружено: 2022-12-13
Просмотров: 41388
How to use Lagrangian mechanics to find the equations of motion of a system whose motion is constrained. Starting from Hamilton's principle of stationary action, we derive the Euler-Lagrange equations, then consider how to modify them to account for constraints using the method of Lagrange multipliers. We also consider the physical interpretation of the extra term that appears.
About me: I studied Physics at the University of Cambridge, then stayed on to get a PhD in Astronomy. During my PhD, I also spent four years teaching Physics undergraduates at the university. Now, I'm working as a private tutor, teaching Physics & Maths up to A Level standard.
My website: https://benyelverton.com/
#physics #mathematics #dynamics #calculus #calculusofvariations #differentialequations #lagrangian #mechanics #lagrangianmechanics #eulerlagrange #hamiltonsprinciple #action #stationaryaction #leastaction #lagrangemultipliers #maths #math #science #education
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