dst2meca.py

Created by condouarthur

Created on March 09, 2022

767 Bytes


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barycentre/centre d'inertie : AG->=(somme(mi)AMi->)/(M)

qté mvt syst:P=M(vG)->
la résultante des forces intérieures est nulle:Rint->=o->

th qté mvt/th résultante cin
dP->/dt|R=Rext->

th centre d'inertie
M(d(vG)->/dt)=Rext

deriva°vect
dA/dt|R = dA/dt|R'+wR'/R ^ A
(si R' transla°w=0)

chhmt ref:v(M)R=v(M)R'+(v(O')R+wR'/R^O'M)

loi comp vit:va(M)=vr(M)+ve(M)
ve(M)=v(o')R+wR'/R^o'M

loi comp accélera°
aa(M)=ar(M)+ae(M)+ac(M)
ac(M)=2wR'/R^vr(M)
si transla°
ve(M)=v(o') et ae(M)=a(o')

si rota° unif
ae(M)=-w^2(HM)-> avec H proj de M sur Oz

force d'inertie d'entr
fie(M)=-mae(M)
fic(M)=-mac(M)

energie pot f centrfg
Ep=-1/2mw^2HM^2+cte

loi Cou ss gli
||T||<=fs||N||
avec
||T||=fD||N||

si pas de frttm fD=0 et ||T||=0

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