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Noam Hache
2026-04-08 20:11:20 +02:00
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# TD Mécanique : cinématique
# Exercice 1
$\vec{A}(2, 1, -1)$ ; $\vec{B}(-3, 4, 0)$ ; $\vec{C}(0, 1, 0)$.
1. $\vec{A}\cdot\vec{B} = 2\times(-3)+1\times 4 + (-1) \times 0 = -2$
2. Angle $\vec{A}$ $\vec{B}$ : $\vec{A}\cdot\vec{B} = ||\vec{A}||\times||\vec{B}||\times\cos(\vec{A}; \vec{B})$

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En augmentant l’écart avec x0, on augmente la Force de Rappel, ainsi on a une mesure du temps qui est plus représentative que si note écart était faible.
On sait aussi que Fr = k(x-x0), ce qui montre aussi que l’écart x-x0 intervient dans la mesure.

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EVARISTE REGRESSI WINDOWS 1.0
£4 NOM VAR
x
t
racine
vitesse
£4 GENRE VAR
0
0
1
1
£4 UNITE VAR
m
s
m
m/s
£4 FORMAT VAR
0
0
0
0
£4 PRECISION VAR
4
4
4
4
£2 SIGNIF VAR
£1 NOM PARAM
a
£1 UNITE PARAM
Hz
£1 TRIGO
1
£1 uniteSI
0
£2 MEMO GRANDEURS
racine=sqrt(x)_m
vitesse=0.02/t_m/s
£1 MODELISATION
vitesse=a*racine
£2 ACQUISITION
CLAVIER
£0 FOURIER
&0 Y
&1 F
f
&18 OPTIONS
0
0
0
1.00000000000000E-0006
4
10
0
0
0
0
0
0
50
2
0
2.50000000000000E-0002
1
5.00000000000000E+0003
£0 GRAPHE VAR
&1 LIGNE
1
&1 COULEUR
0
&1 MOTIF
1
&1 X
racine
&1 Y
vitesse
&1 TRACE
3
&1 MONDE
1
&3 GRADUATION
0
0
0
&3 ZERO
1
1
1
&3 INVERSE
0
0
0
&23 OPTIONS
9
2
1
3
9
0
0
0
0
-1
0
0
5
0
1
1
1
0
0
32
32
1
0.00000000000000E+0000
&1 MODELECALC
1
£1 PAGE COMMENT
&4 VALEUR VAR
2.00000000000000E-0001 5.40000000000000E-0002
3.00000000000000E-0001 5.80000000000000E-0002
4.00000000000000E-0001 4.70000000000000E-0002
5.00000000000000E-0001 4.10000000000000E-0002
&4 INCERT VAR
Nan Nan
Nan Nan
Nan Nan
Nan Nan
&2 OPTIONS
1
1
&1 VALEUR PARAM
6.91831902293628E-0001
&1 INCERT PARAM
3.45975214329179E-0002
&1 STDEV PARAM
1.10089313199545E-0001
&1 DEBUT
0
&1 FIN
3

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