Lagrangian Mechanics

Lagrangian Mechanics

Lagrangian

$$ \large L = T - V $$

where

$T = \frac{1}{2} m v^2 $: kinetic energy

$V$: potential energy

Lagrange's Equation (Eular-Lagrange Equation)

$$ \large \frac{d}{dt}\left( \frac{\partial L}{\partial \dot{q}}\right) = \frac{\partial L}{\partial q} $$
  • GRE Physics GR0177 Problem 074

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