Commit d0e46fa4 authored by Claude Meny's avatar Claude Meny

Update cheatsheet.fr.md

parent 95bb74c5
Pipeline #13175 canceled with stage
...@@ -444,11 +444,11 @@ référentirl d'inertie, force centrale ...@@ -444,11 +444,11 @@ référentirl d'inertie, force centrale
figure à faire. figure à faire.
$`\begin{align} $`\begin{align}
\overrightarrow{F}\cdot\overrightarrow{dl}&=\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\ \overrightarrow{F}\cdot\overrightarrow{dl}& =\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)\\
&=m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\ & =m\,\left(\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\cdot\overrightarrow{\mathscr{v}}\right)\,dt\\
&=m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\big(\overrightarrow{\mathscr{v}}\cdot\overrightarrow{\mathscr{v}}\big)}{dt}\,dt\\
&=m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\,dt\\ & =m\,\left(\dfrac{1}{2}\,\dfrac{d\,\mathscr{v}^2}{dt}\,dt\\
&=d\left(\dfrac{m\,\mathscr{v}^2}{2}\right)\\ & =d\left(\dfrac{m\,\mathscr{v}^2}{2}\right)\\
\end{align}`$ \end{align}`$
$`\overrightarrow{F}\cdot\overrightarrow{dl}=\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)`$ $`\overrightarrow{F}\cdot\overrightarrow{dl}=\left(m\,\dfrac{d\overrightarrow{\mathscr{v}}}{dt}\right)\cdot\big(\overrightarrow{\mathscr{v}}\,dt\big)`$
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