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Display information for equation id:math.1149.8 on revision:1149
* Page found: Rotierendes Pendel (eq math.1149.8)
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Hash: c2364acef705a3b29d24c963638e681a
TeX (original user input):
\frac{d}{dt}\frac{\partial L}{\partial \overset{\bullet }{\mathop{\varphi }}\,}=m{{L}^{2}}\ddot{\varphi }+\frac{m}{2}aL\omega \left( \dot{\varphi }-\omega \right)\cos \left( \varphi -\omega t \right)
TeX (checked):
{\frac {d}{dt}}{\frac {\partial L}{\partial {\overset {\bullet }{\mathop {\varphi } }}\,}}=m{{L}^{2}}{\ddot {\varphi }}+{\frac {m}{2}}aL\omega \left({\dot {\varphi }}-\omega \right)\cos \left(\varphi -\omega t\right)
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MathML (1.599 KB / 392 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>L</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="ORD"><mover><mrow><mrow data-mjx-texclass="OP"><mi>φ</mi></mrow></mrow><mo>∙</mo></mover></mrow><mspace width="0.167em"></mspace></mrow></mrow></mfrac></mrow><mo>=</mo><mi>m</mi><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>φ</mi><mo>¨</mo></mover></mrow></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>a</mi><mi>L</mi><mi>ω</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>φ</mi><mo>˙</mo></mover></mrow></mrow><mo>−</mo><mi>ω</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>cos</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>φ</mi><mo>−</mo><mi>ω</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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