Commit 0f900f30 authored by Claude Meny's avatar Claude Meny

Update 12.temporary_ins/40.classical-mechanics/30.n3/40.point-dynamics/20.overview/cheatsheet.fr.md

parent 27da5c3c
Pipeline #18366 canceled with stage
......@@ -289,8 +289,8 @@ $`\hspace{0.5cm}\displaystyle\;=\dfrac{\sum_{i=1}^N d \overrightarrow{p}_{i\righ
des quantités de mouvement de ses N corpuscules, soit :
<br>
**$`\displaystyle\Large\mathbf{\overrightarrow{p}_{sys.iso}}`$**
*$`\displaystyle\Large\mathbf{\;=\sum_{i=1}^N \overrightarrow{p}_{tot\rightarrow j}}`$*
**$`\displaystyle\Large\mathbf{\;=\sum_{i=1}^N \sum_{j=1}^N \overrightarrow{p}_{i\rightarrow j}}`$**
*$`\displaystyle\Large\mathbf{\;=\sum_{j=1}^N \overrightarrow{p}_{tot\rightarrow j}}`$*
**$`\hspace{1.5cm}\displaystyle\Large\mathbf{\;=\sum_{j=1}^N \sum_{i=1}^N \overrightarrow{p}_{i\rightarrow j}}`$**
* La **dérivée temporelle de la quantité de mouvement totale** du système isolé s'exprime alors :
<br>
......@@ -307,7 +307,7 @@ $`\displaystyle\hspace{0.5cm}=\sum_{i=1}^N \overrightarrow{F}_{i\rightarrow i}
<br>
$`\displaystyle\hspace{0.5cm}=\sum_{i=1}^N \underbrace{\overrightarrow{F}_{i\rightarrow i}}_{=\,0}
+\sum_{i=2}^N \sum_{j=1}^{(i-1)} \underbrace{\big(\overrightarrow{F}_{i\rightarrow j}
+\overrightarrow{F}_{j\rightarrow i}\big)}_{=\,0\,(action-réaction)}`$
+\overrightarrow{F}_{j\rightarrow i}\big)}_{\color{blue}{=\,0\,(action-réaction)}}`$
<br>
**$`\Large\mathbf{\hspace{0.5cm}=0}`$**
<br>
......
Markdown is supported
0% or
You are about to add 0 people to the discussion. Proceed with caution.
Finish editing this message first!
Please register or to comment