Mechanics → Lagrangian Mechanics → Worked Example
Worked Example
Problem:
Find equation of motion for a free particle.
Solution
$$ L = \frac{1}{2}m\dot{x}^2 $$
$$ \frac{d}{dt}(m\dot{x}) = 0 $$
$$ \ddot{x} = 0 $$
Problem:
Find equation of motion for a free particle.
$$ L = \frac{1}{2}m\dot{x}^2 $$
$$ \frac{d}{dt}(m\dot{x}) = 0 $$
$$ \ddot{x} = 0 $$