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Display information for equation id:math.1149.11 on revision:1149

* Page found: Rotierendes Pendel (eq math.1149.11)

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Hash: deda8f74f1464ea835a7b1510031d2ca

TeX (original user input):

\ddot{\varphi }m{{L}^{2}}-\dot{\varphi }maL\omega \cos \left( \varphi -\omega t \right)+mgL\sin \left( \varphi  \right)-\frac{m}{2}aL{{\omega }^{2}}\cos \left( \varphi -\omega t \right)=0

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φ¨mL2φ˙maLωcos(φωt)+mgLsin(φ)m2aLω2cos(φωt)=0
<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"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C6;</mi><mo>¨</mo></mover></mrow></mrow><mi>m</mi><msup><mi>L</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C6;</mi><mo>˙</mo></mover></mrow></mrow><mi>m</mi><mi>a</mi><mi>L</mi><mi>&#x03C9;</mi><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03C6;</mi><mo>&#x2212;</mo><mi>&#x03C9;</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>m</mi><mi>g</mi><mi>L</mi><mi>sin</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03C6;</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x2212;</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><msup><mi>&#x03C9;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03C6;</mi><mo>&#x2212;</mo><mi>&#x03C9;</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mn>0</mn></mstyle></mrow></math>

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