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Display information for equation id:math.1487.35 on revision:1487
* Page found: Zwangsbedingungen und Zwangskräfte (eq math.1487.35)
(force rerendering)Occurrences on the following pages:
Hash: 978a8200a70d10e3431e0a1fae3c0cc8
TeX (original user input):
\begin{align}
& \vec{Z}=mg\cos \vartheta \cdot \left( \begin{matrix}
\sin \vartheta \\
\cos \vartheta \\
\end{matrix} \right) \\
& \vec{F}=-mg\cdot \left( \begin{matrix}
0 \\
1 \\
\end{matrix} \right) \\
& \vec{Z}+\vec{F}=mg\sin \vartheta \cdot \left( \begin{matrix}
\cos \vartheta \\
-\sin \vartheta \\
\end{matrix} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&{\vec {Z}}=mg\cos \vartheta \cdot \left({\begin{matrix}\sin \vartheta \\\cos \vartheta \\\end{matrix}}\right)\\&{\vec {F}}=-mg\cdot \left({\begin{matrix}0\\1\\\end{matrix}}\right)\\&{\vec {Z}}+{\vec {F}}=mg\sin \vartheta \cdot \left({\begin{matrix}\cos \vartheta \\-\sin \vartheta \\\end{matrix}}\right)\\\end{aligned}}
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MathML (2.355 KB / 433 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>Z</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">=</mo><mi>m</mi><mi>g</mi><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr><mtr><mtd><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>F</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>m</mi><mi>g</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>Z</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">+</mo><mover><mi>F</mi><mo class="mwe-math-vec" stretchy="false">→</mo></mover><mo stretchy="false">=</mo><mi>m</mi><mi>g</mi><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi><mo stretchy="false">⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mi>cos</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr><mtr><mtd><mo stretchy="false">−</mo><mi>sin</mi><mo>⁡</mo><mi>ϑ</mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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