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Display information for equation id:math.1257.123 on revision:1257
* Page found: Das d'Alembertsche Prinzip (eq math.1257.123)
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Hash: 1238be728c0d565f9f6b5b36d63d304b
TeX (original user input):
\begin{align}
& \sum\limits_{i}{{{m}_{i}}{{{\ddot{\bar{r}}}}_{i}}\delta {{{\bar{r}}}_{i}}}=\sum\limits_{i}^{{}}{{{{\vec{X}}}_{i}}\delta {{{\bar{r}}}_{i}}=\sum\limits_{j}{{{Q}_{j}}}}\delta {{q}_{j}} \\
& \Rightarrow \sum\limits_{j}{\left\{ \frac{d}{dt}\left( \frac{\partial }{\partial {{{\dot{q}}}_{j}}}T \right){{-}_{{}}}\left( \frac{\partial }{\partial {{q}_{j}}}T \right)-{{Q}_{j}} \right\}\delta {{q}_{j}}=0} \\
\end{align}
TeX (checked):
{\begin{aligned}&\sum \limits _{i}{{{m}_{i}}{{\ddot {\bar {r}}}_{i}}\delta {{\bar {r}}_{i}}}=\sum \limits _{i}^{}{{{\vec {X}}_{i}}\delta {{\bar {r}}_{i}}=\sum \limits _{j}{{Q}_{j}}}\delta {{q}_{j}}\\&\Rightarrow \sum \limits _{j}{\left\{{\frac {d}{dt}}\left({\frac {\partial }{\partial {{\dot {q}}_{j}}}}T\right){{-}_{}}\left({\frac {\partial }{\partial {{q}_{j}}}}T\right)-{{Q}_{j}}\right\}\delta {{q}_{j}}=0}\\\end{aligned}}
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