Système M-K avec frottement sec

N
T
T=−f.N. ( ˙x)

l0x(t)
⃗x
⃗y
(a)a a = 0
m¨x⃗x = (−kx +T)⃗x + (N−mg)⃗y
N=mg
¨x+ω2
0x=−fg ˙x > 0
¨x+ω2
0x=fg ˙x < 0
ω0=√k/m
x0
m
|kx0|> f0.mg |ω2
0.x0|> f0.g
f0
f
x0>0 ˙x
x(t) = fg
ω2
0
+(x0−fg
ω2
0)ω0t
˙x
t1=π
ω0

|kx(t)|< f0.mg
x(t1) = −x0+2fg
ω2
0
x(t1)x0
˙x
x(t) = −fg
ω2
0
+(x0−3fg
ω2
0)ω0tπ
ω0
< t ≤2π
ω0
π/ω0
2fg/ω2
0
2fg/πω0