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Display information for equation id:math.1149.10 on revision:1149
* Page found: Rotierendes Pendel (eq math.1149.10)
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Hash: 89d03d76ea6b98ddc6e078e95ddbe0af
TeX (original user input):
\frac{m}{2}aL\omega \dot{\varphi }\cos \left( \varphi -\omega t \right)-mgL\sin \left( \varphi \right)-m{{L}^{2}}\ddot{\varphi }+\frac{m}{2}aL\omega \left( \dot{\varphi }-\omega \right)\cos \left( \varphi -\omega t \right)=0
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<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>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="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>φ</mi><mo>˙</mo></mover></mrow></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><mo>−</mo><mi>m</mi><mi>g</mi><mi>L</mi><mi>sin</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>−</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><mo>=</mo><mn>0</mn></mstyle></mrow></math>
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