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Display information for equation id:math.1149.15 on revision:1149

* Page found: Rotierendes Pendel (eq math.1149.15)

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Hash: 6150ec30681b61b3b693b10da90cb088

TeX (original user input):

\ddot{\varphi }m{{L}^{2}}-\dot{\varphi }maL\omega \cos \left( \omega t \right)+mL\varphi g=0\Leftrightarrow \ddot{\varphi }L-\dot{\varphi }a\omega \cos \left( \omega t \right)+\varphi g=0

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MathML (1.289 KB / 334 B) :

φ¨mL2φ˙maLωcos(ωt)+mLφg=0φ¨Lφ˙aωcos(ωt)+φg=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>&#x03C9;</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>m</mi><mi>L</mi><mi>&#x03C6;</mi><mi>g</mi><mo>=</mo><mn>0</mn><mo>&#x21D4;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C6;</mi><mo>¨</mo></mover></mrow></mrow><mi>L</mi><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>&#x03C6;</mi><mo>˙</mo></mover></mrow></mrow><mi>a</mi><mi>&#x03C9;</mi><mi>cos</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03C9;</mi><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>&#x03C6;</mi><mi>g</mi><mo>=</mo><mn>0</mn></mstyle></mrow></math>

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