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Help me understand Lagrangians by answering t

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8/14/2014 12:27:08 PM
Posted: 3 years ago
It didn't leave enough room so here's the question in full: answering this question

Why and How does Subtracting potential Energy from Kinetic energy summarize the dynamics of a system?

I read that a Lagrangian summarizes the dynamics of a system. I also read that it is equal to kinetic energy minus potential energy. So why are the two related?