Machine à laver avec balourd 45 minutes 8 points

(S)M
⃗y0
⃗z0
⃗y1
⃗z1
⃗x0
(S)
(B)
(B)m
(S)
(B)G OG
O
B0(⃗x0, ⃗y0, ⃗z0)⃗z0
B1(⃗x0, ⃗y1, ⃗z1)−−→ OG =a.⃗z1B1B0
ψ ⃗x0

⃗y0
⃗z0
⃗y1
⃗z1
⃗x0
(S)
(B)
O
G
ψ
(S)B0O
Ec(S/O) (S)
Ec(B/O) (B)
Ep(S/O) (S)
Ep(B/O) (B)
ω=˙ ψ
ω
ω

R O
m G
OG =4R
3πOG =a
I O
A⃗y0I
(⃗z0, ⃗z1) = ψ ⃗z0
I0⃗z1
⃗z0A
B0(⃗x0, ⃗y0, ⃗z0)
B1(⃗x0, ⃗y1, ⃗z1)
O
G
IA⃗y0
⃗z0
⃗z1ψ
AI
c
I0I
R ψ
I⃗ Va(I)O
⃗
Va(0) = ⃗ VO∈1/0
G R a ψ
B1G
¨
ψ{m(R2+a2−2aR ψ) + A}+˙ ψ2(maR ψ) + mga ψ = 0