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@ -191,7 +191,7 @@ pensez à remplacer (auto-tra) par vos initiales (YYY). |
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##### El momento angular / Le moment angulaire / The angular momentum |
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##### El momento angular / Le moment angulaire / The angular momentum |
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*CLAMEC-xxx* |
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*CLAPTMEC-CI-xxx* |
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[ES] (UN..) El momentum lineal depende de dos propiedades, masa y velocidad.<br> |
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[ES] (UN..) El momentum lineal depende de dos propiedades, masa y velocidad.<br> |
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Un objeto que rota tiene una velocidad angular y tiene un momento de inercia.<br> |
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Un objeto que rota tiene una velocidad angular y tiene un momento de inercia.<br> |
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@ -202,25 +202,32 @@ Partícula : |
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[CME][FR] $`\overrightarrow{L}=\overrightarrow{r}\wedge\overrightarrow{p}`$ |
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[CME][FR] $`\overrightarrow{L}=\overrightarrow{r}\wedge\overrightarrow{p}`$ |
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[ES] producto cruz, en coordenadas cartesianas :<br> |
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<br> |
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[ES] producto cruz, en coordenadas cartesianas : |
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$`\overrightarrow{L}=\begin{vmatrix} |
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$`\overrightarrow{L}=\begin{vmatrix} |
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\widehat{i} & \widehat{j} & \widehat{k}\\ |
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\hat{i} & \hat{j} & \hat{k}\\ |
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x & y & z\\ |
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x & y & z\\ |
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p_x & p_y & p_z\end{vmatrix}`$ |
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p_x & p_y & p_z\end{vmatrix}`$ |
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[ES] Partícula : Expresión aplicable a un cuerpo rígido con momento de inercia I |
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$`\overrightarrow{L}=\begin{vmatrix} |
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\hat{i} & \hat{j} & \hat{k}\\ |
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x & y & z\\ |
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p_x & p_y & p_z\end{vmatrix}`$ |
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$`\overrightarrow{L}=ï\;\omega`$ |
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[ES] El momento angular y su variación |
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[ES] $`\dfrac{d\overrightarrow{L}}{dt}=\overrightarrow{r}\times\overrightarrow{F}=\overrightarrow{\tau}`$ |
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[FR](CME) $`\dfrac{\overrightarrow{dL}}{dt}=\overrightarrow{r}\land\overrightarrow{F}`$ |
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-------------------------------------------------------------------------------- |
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*CLAPTMEC-CI-xxx* |
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[ES](UN..) Variables lineales y angulares, resumen |
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| a | b | a |// |
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| c | d | e |// |
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| f | g | h |// |
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$`\vec{U}\land\vec{V}=\begin{vmatrix} \overrightarrow{e_1}&\overrightarrow{e_2}&\overrightarrow{e_3}\\ |
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U_1 & U_2 & U_3\\V_1 & V_2 & V_3\end{vmatrix}`$ |
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$`=U_1V_2\,\overrightarrow{e_3}+U_2V_3\,\overrightarrow{e_1}+U_3V_1\,\overrightarrow{e_2}`$ |
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$`-\,U_1V_3\,\overrightarrow{e_2}-U_2V_1\,\overrightarrow{e_3}-U_3V_2\,\overrightarrow{e_1}`$ |
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