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Update textbook.es.md

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Claude Meny 5 years ago
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      00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/10.mathematical-tools/20.reference-frames-coordinate-systems/textbook.es.md

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00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/10.mathematical-tools/20.reference-frames-coordinate-systems/textbook.es.md

@ -1393,7 +1393,8 @@ $`(\overrightarrow{e_{\rho}}, \overrightarrow{e_{\phi}}, \overrightarrow{e_z})`$
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* *CS620* : **N3 ($`\rightarrow`$ N4)**<br>
* *CS620* : **N3 ($`\rightarrow`$ N4)**
Méthode 2 pour le calcul de Méthode 2 pour le calcul de
$`\dfrac{d e_r}{dt}`$ , $`\dfrac{d e_{\theta}}{dt}`$ , $`\dfrac{d e_{\varphi}}{dt}`$ $`\dfrac{d e_r}{dt}`$ , $`\dfrac{d e_{\theta}}{dt}`$ , $`\dfrac{d e_{\varphi}}{dt}`$
@ -1520,7 +1521,8 @@ $`=\dfrac{d\theta}{dt}\cdot\overrightarrow{0}\,-\,\dfrac{d\varphi}{dt}\cdot\over
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* *CS630* :
* *CS630*
$`\overrightarrow{v}(t)=\dfrac{d\overrightarrow{OM}}{dt}=\dfrac{d\overrightarrow{OM}(t)}{dt}=\dfrac{d}{dt}\left[\,r(t)\cdot\overrightarrow{e_r}(t)\,\right]`$$`=\dfrac{dr(t)}{dt}\cdot\overrightarrow{e_r(t)}\;+\;r(t)\cdot\dfrac{d\overrightarrow{e_r}(t)}{dt}`$ $`\overrightarrow{v}(t)=\dfrac{d\overrightarrow{OM}}{dt}=\dfrac{d\overrightarrow{OM}(t)}{dt}=\dfrac{d}{dt}\left[\,r(t)\cdot\overrightarrow{e_r}(t)\,\right]`$$`=\dfrac{dr(t)}{dt}\cdot\overrightarrow{e_r(t)}\;+\;r(t)\cdot\dfrac{d\overrightarrow{e_r}(t)}{dt}`$
$`=\dfrac{dr}{dt}\cdot\overrightarrow{e_r}\;+\;r\cdot\dfrac{d\overrightarrow{e_r}}{dt}`$ $`=\dfrac{dr}{dt}\cdot\overrightarrow{e_r}\;+\;r\cdot\dfrac{d\overrightarrow{e_r}}{dt}`$

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