Introduction 1 Travail d`une force Rappel et généralisation 2

⃗
F P
t t +t
W(t) = ⃗ F . −−−−→ OP (t)
t1t2
W1−→2=∫t2
t1
W(t) = ∫t2
t1
⃗
F . −−−−→ OP (t) = ∫t2
t1
⃗
F .⃗ Va(P). t
t
P=W(t)
t=⃗
F .⃗ Va(P)
A1 2
P=A{2/1} ∗A{T1→2}=⃗ VA∈2/1.⃗ R1→2+⃗ Ω2/1.⃗ M1→2

P
P
P=C.ω
P=F.v
W1−→2⃗ F
⃗
F . −−−−→ OP (t)
W1−→2=∫t2
t1
W(t) = W2−W1
Ep=−W(t) = −⃗ F . −−−−→ OP (t)
⃗
P
m G

l0
1 0
A
2Ec(1/0) =A{1/0} ∗A{C1/0}=⃗ VA∈1/0.⃗ Rc(1/0) + ⃗ Ω1/0.⃗σA(1/0)
2Ec(1/0) = m.⃗ V2
G∈1/0+⃗
Ω1/0.⃗σG(1/0)
=m.⃗ V2
G∈1/0+⃗
Ω1/0.I(G, 1).⃗ Ω1/0
Pext +Pi←→j=Ec
t+Ep t
Pext
Pi←→j

γ M
V(t)
V0=V(t0) = 0 V1=V(t1)
V1
M
V(t0) = 0 t0
V(t1) = 100 t1
M
h
γ
M
V(t0)=0 t0
V(t1)t1
t1t2
t3
V(t3) = 0

⃗x
M.γ T
C=r.T r
Pm=C.ω
Pm=C.ω =r.T.ω =r.Mγ.ω
ω=V(t)
r
Pm=r.Mγ.V(t)
r
Pm=Mγ.V (t)
γ=γ0
V(t) = γ0.t +V0
V0= 0 V(t) = γ.t
Pm=M.γ2.t
P1≈