anonymous one year ago can some one tell me euler lagrang equation for simple pendulum

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1. Astrophysics

|dw:1438694486443:dw| $T = \frac{ 1 }{ 2 }m(l \dot \theta)^2$ $U = mgh \implies mgl - mgl \cos \theta \implies mgl(1-\cos \theta)$ $L = T-U = L( \theta, \dot \theta, t)$

2. Michele_Laino

the requested equation, is: $\Large - \frac{d}{{dt}}\left( {\frac{{\partial L}}{{\partial \dot \theta }}} \right) + \frac{{\partial L}}{{\partial \theta }} = 0$