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FIS01181 – Fo´rmulas e Tabelas – V10.10.2006
r = r0 + v0t+
1
2
at2
v =
dr
dt
= v0 + at
v2 = v20 + 2a∆x
F = ma
fe ≤ µeN
fc = µcN
ac =
v2
r
K =
1
2
mv2
∆K =W
W = F · d = Fd cos θ
W =
∫
F · dr
F = −kx
F = −
dU
dx
P =
dW
dt
= F · v
U = mgh
U =
1
2
kx2
rCM =
1
M
n∑
i=1
miri
fe ≤ µeN
fc = µcN
vCM =
1
M
n∑
i=1
mivi
aCM =
1
M
n∑
i=1
miai
xCM =
1
M
∫
xdm
F resext =MaCM
p = mv
F =
dp
dt
F resext =
dP
dt
P =MVCM
I = ∆p =
∫ tf
ti
F (t)dt
S = θR
V = ωR
at = αR
ar = ω
2R
θf = θi + ωt+
1
2
αt2
ω =
dθ
dt
ωf = ωi + αt
α =
dω
dt
ω2f = ω
2
i + 2α∆θ
K =
1
2
Iω2
I =
∑
i
mir
2
i
I =
∫
r2dm
I = ICM +Mh
2
Ibarra
CM
=
1
12
mL2
Icil
CM
=
1
2
mR2
Iesf
CM
=
2
5
MR2
τ = rF sin θ
~τ = ~r × ~F
τ = Iα
~ℓ = m~r × ~v
ℓ = mrv sin θ
ℓz = Iw
τ =
dℓ
dt
τ = rF sin θ
K =
1
2
mv2
I = ICM +mh
2
Ibarra
CM
=
1
12
ML2
Idisco
CM
=
1
2
MR2
x(t) = xm cos(ωt+ φ)
ω =
2π
T
= 2πf
U =
1
2
kx2
U = mgh
T = 2π
√
m
k
T = 2π
√
L
g
T = 2π
√
I
mgh
F =
Gm1m2
r2
U(r) = −
Gm1m2
r
vescape =
√
2GM
R