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Display information for equation id:math.1149.6 on revision:1149
* Page found: Rotierendes Pendel (eq math.1149.6)
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Hash: 787a9189cfee4eb53a090e96f0a51664
TeX (original user input):
\Rightarrow L=\frac{m}{2}\left( {{a}^{2}}{{\omega }^{2}}+{{L}^{2}}{{{\dot{\varphi }}}^{2}}+aL\omega \dot{\varphi }\sin \left( \varphi -\omega t \right) \right)+mg\left( -a\sin \left( \omega t \right)+L\cos \left( \varphi \right) \right)
TeX (checked):
\Rightarrow L={\frac {m}{2}}\left({{a}^{2}}{{\omega }^{2}}+{{L}^{2}}{{\dot {\varphi }}^{2}}+aL\omega {\dot {\varphi }}\sin \left(\varphi -\omega t\right)\right)+mg\left(-a\sin \left(\omega t\right)+L\cos \left(\varphi \right)\right)
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MathML (1.7 KB / 369 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>⇒</mo><mi>L</mi><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mi>ω</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>φ</mi><mo>˙</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>+</mo><mi>a</mi><mi>L</mi><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>φ</mi><mo>˙</mo></mover></mrow></mrow><mi>sin</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><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>m</mi><mi>g</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><mi>a</mi><mi>sin</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ω</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>L</mi><mi>cos</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>φ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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