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Relativistic Lagrangian and equation of motion : Classical Mechanics

Relativistic Lagrangian and equation of motion Here I have tried to solve a problem in Classical mechanics which is about relativistic Lagrangian and equation of motion. Question Our problem is to show that relativistic Lagrangian give the equation of motion $F_{i}=-\frac{\partial V}{\partial \dot{x_{i}}}$ Solution From non-relativistic Lagrangian $L=T+V$ where $T$ is the kinetic energy and $V$ is …

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