La chute en escalade - IMJ-PRG

Fchoc
m
g
g= 9,81m.s−2
S
E
H
L
f=H
L
Fchoc =mg 1 + s1 + 2SHE
Lmg !.
cm
KN
SE
Kgf
H
L
f= 2
H f
cm
Kgf 1Kgf
1Kg 1200Kgf
SE
m= 80Kg
f= 2 18KN
E

H
v0
g H
m z
L
k
z(0) = 0
v0
z(t) = αcos(ωt +ϕ) + β
ω β
z= 0 v0
z > 0
z(0) v0
tan ϕ=−
v0
ωβ
α2=β2+v2
0
ω2
cos2+ sin2= 1
Fchoc =mg 1 + s1 + 2Hk
mg !.
vmax =rmg2
k+mgH.
mg
k 1 + s1 + 2Hk mg !+H.
k
2k
l0k
l1l2
l1=l2

2L
k
2
Fchoc =mg 1 + s1 + 2SHE
LMg !.
10mm
E= 3,5.108P a
Fchoc 75Kg
f= 1 f= 0.5f= 2
n
l0
n l0
M= 60Kg
100m
3Mg
10m
90m
10mm
E= 1,4.106P a