From 8308118345432f8dd471a1ed51c757d0ed1f8a88 Mon Sep 17 00:00:00 2001 From: Claude Meny Date: Mon, 24 Aug 2020 10:13:26 +0200 Subject: [PATCH] Update textbook.fr.md --- .../vector-analysis/textbook.fr.md | 10 ++++++++++ 1 file changed, 10 insertions(+) diff --git a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md index cd826be78..3d8ff588a 100644 --- a/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md +++ b/00.brainstorming-pedagogical-teams/40.collection-existing-pedagogical-content/05.classical-mechanics/vector-analysis/textbook.fr.md @@ -647,7 +647,17 @@ $`=d\left(A(t)\right)\cdot\overrightarrow{e_x} +d\left(B(t)\right)\cdot\overrightarrow{e_y}`$ $`+A(t)\cdot d\overrightarrow{e_x} + B(t)\cdot d\overrightarrow{e_y}`$ +Or les vecteurs $`\overrightarrow{e_x}`$ et $`\overrightarrow{e_y})`$ sont fixes, +on a donc : +$`d\left(\overrightarrow{OM}\right)(t)=d\left(A(t)\cdot\overrightarrow{e_x}\right) ++d\left(B(t)\cdot\overrightarrow{e_y}\right)`$ +$`=d\left(A(t)\right)\cdot\overrightarrow{e_x} ++d\left(B(t)\right)\cdot\overrightarrow{e_y}`$ +$`=d\left(t^2\right)\cdot\overrightarrow{e_x} ++d\left(4t\right)\cdot\overrightarrow{e_y}`$ +$`2\,t\,dt\cdot\overrightarrow{e_x} ++4\,dt\cdot\overrightarrow{e_y}`$