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Display information for equation id:math.2005.0 on revision:2005
* Page found: Drehimpuls und Bewegungsgleichungen (eq math.2005.0)
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\begin{align}
& \bar{l}=\sum\limits_{i=1}^{n}{{}}{{m}_{i}}{{{\bar{r}}}_{i}}\times {{{\dot{\bar{r}}}}_{i}}=\sum\limits_{i=1}^{n}{{}}{{m}_{i}}\left( {{{\bar{r}}}_{S}}+{{{\bar{x}}}^{(i)}} \right)\times \left( \bar{V}+\bar{\omega }\times {{{\bar{x}}}^{(i)}} \right) \\
& \bar{l}=\sum\limits_{i=1}^{n}{{}}{{m}_{i}}\left( {{{\bar{r}}}_{S}}\times \bar{V} \right)+\sum\limits_{i=1}^{n}{{}}{{m}_{i}}{{{\bar{x}}}^{(i)}}\times \bar{V}+{{{\bar{r}}}_{S}}\times \left( \bar{\omega }\times \sum\limits_{i}{{{m}_{i}}}{{{\bar{x}}}^{(i)}} \right)+\sum\limits_{i}{{{m}_{i}}}{{{\bar{x}}}^{(i)}}\times \left( \bar{\omega }\times {{{\bar{x}}}^{(i)}} \right) \\
& \sum\limits_{i=1}^{n}{{}}{{m}_{i}}{{{\bar{x}}}^{(i)}}\times \bar{V}=\sum\limits_{i=1}^{n}{{}}{{m}_{i}}\left( {{{\bar{x}}}^{(i)}} \right)=0 \\
& \bar{l}=\sum\limits_{i=1}^{n}{{}}{{m}_{i}}\left( {{{\bar{r}}}_{S}}\times \bar{V} \right)+\sum\limits_{i}{{{m}_{i}}}{{{\bar{x}}}^{(i)}}\times \left( \bar{\omega }\times {{{\bar{x}}}^{(i)}} \right)=M\left( {{{\bar{r}}}_{S}}\times \bar{V} \right)+\sum\limits_{i}{{{m}_{i}}}{{{\bar{x}}}^{(i)}}\times \left( \bar{\omega }\times {{{\bar{x}}}^{(i)}} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&{\bar {l}}=\sum \limits _{i=1}^{n}{}{{m}_{i}}{{\bar {r}}_{i}}\times {{\dot {\bar {r}}}_{i}}=\sum \limits _{i=1}^{n}{}{{m}_{i}}\left({{\bar {r}}_{S}}+{{\bar {x}}^{(i)}}\right)\times \left({\bar {V}}+{\bar {\omega }}\times {{\bar {x}}^{(i)}}\right)\\&{\bar {l}}=\sum \limits _{i=1}^{n}{}{{m}_{i}}\left({{\bar {r}}_{S}}\times {\bar {V}}\right)+\sum \limits _{i=1}^{n}{}{{m}_{i}}{{\bar {x}}^{(i)}}\times {\bar {V}}+{{\bar {r}}_{S}}\times \left({\bar {\omega }}\times \sum \limits _{i}{{m}_{i}}{{\bar {x}}^{(i)}}\right)+\sum \limits _{i}{{m}_{i}}{{\bar {x}}^{(i)}}\times \left({\bar {\omega }}\times {{\bar {x}}^{(i)}}\right)\\&\sum \limits _{i=1}^{n}{}{{m}_{i}}{{\bar {x}}^{(i)}}\times {\bar {V}}=\sum \limits _{i=1}^{n}{}{{m}_{i}}\left({{\bar {x}}^{(i)}}\right)=0\\&{\bar {l}}=\sum \limits _{i=1}^{n}{}{{m}_{i}}\left({{\bar {r}}_{S}}\times {\bar {V}}\right)+\sum \limits _{i}{{m}_{i}}{{\bar {x}}^{(i)}}\times \left({\bar {\omega }}\times {{\bar {x}}^{(i)}}\right)=M\left({{\bar {r}}_{S}}\times {\bar {V}}\right)+\sum \limits _{i}{{m}_{i}}{{\bar {x}}^{(i)}}\times \left({\bar {\omega }}\times {{\bar {x}}^{(i)}}\right)\\\end{aligned}}
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