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Display information for equation id:math.2005.34 on revision:2005

* Page found: Drehimpuls und Bewegungsgleichungen (eq math.2005.34)

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Drehimpuls und Bewegungsgleichungen Eq: math.2005.34

Hash: 286505138b6fccce05668e347062fb4f

TeX (original user input):

\begin{align}
  & J{{{\dot{\omega }}}_{1}}=\left( {{J}_{{}}}-{{J}_{3}} \right){{\omega }_{2}}{{\omega }_{3}} \\
 & {{{\ddot{\omega }}}_{1}}=\frac{\left( {{J}_{{}}}-{{J}_{3}} \right)}{J}{{{\dot{\omega }}}_{2}}{{\omega }_{3}}=-{{\left[ \frac{\left( {{J}_{{}}}-{{J}_{3}} \right)}{J}{{\omega }_{3}} \right]}^{2}}{{\omega }_{1}} \\
\end{align}

TeX (checked):

{\begin{aligned}&J{{\dot {\omega }}_{1}}=\left({{J}_{}}-{{J}_{3}}\right){{\omega }_{2}}{{\omega }_{3}}\\&{{\ddot {\omega }}_{1}}={\frac {\left({{J}_{}}-{{J}_{3}}\right)}{J}}{{\dot {\omega }}_{2}}{{\omega }_{3}}=-{{\left[{\frac {\left({{J}_{}}-{{J}_{3}}\right)}{J}}{{\omega }_{3}}\right]}^{2}}{{\omega }_{1}}\\\end{aligned}}

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MathML (2.613 KB / 434 B) :

\begin{aligned} J {\dot{ω}}_{1} = (J_{} - J_{3}) ω_{2} ω_{3} \\ {\ddot{ω}}_{1} = \frac{(J_{} - J_{3})}{J} {\dot{ω}}_{2} ω_{3} = - {[\frac{(J_{} - J_{3})}{J} ω_{3}]}^{2} ω_{1} \end{aligned}

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Identifiers

$J$

${\dot{ω}}_{1}$

$J$

$J_{3}$

$ω_{2}$

$ω_{3}$

${\ddot{ω}}_{1}$

$J$

$J_{3}$

$J$

${\dot{ω}}_{2}$

$ω_{3}$

$J$

$J_{3}$

$J$

$ω_{3}$

$ω_{1}$

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