Harmonique
Spring
Buoyancy
Lennard-Jones
Undamped
Underdamped
Critical
Overdamped
Resonance
Adiabatic k→k/2
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m:
2.0
kg
k:
25.0
N/m
b:
1.50
N·s/m
F
0
:
0.0
N
ω:
3.50
rad/s
g:
0.0
m/s
2
K:
0.00
J
V
eff
:
0.00
J
U
s
:
0.00
J
U
g
:
0.00
J
Q
loss
:
0.00
J
W
drv
:
0.00
J
E:
0.00
J
t:
0.00
s
ODE
Underdamped
m ẍ + b ẋ + k(x − x
eq
) = F
0
cos(ωt)
x(t)
x(t) = A e
−(b/2m)t
cos(ω
d
t − δ) + x
eq
ω
0
= √(k / m)
3.54
ζ = b / (2√(mk))
0.11
ω
d
= √(ω
0
2
− b
2
/4m
2
)
3.52
Q = mω
0
/ b
4.71
x
eq
= mg / k
0.00
|A
0
| = F
0
/ √((k−mω
2
)
2
+ b
2
ω
2
)
0.00
tan φ = bω / (k − mω
2
)
0.0°
ω
amp
= ω
0
√(1 − 1/2Q
2
)
3.49
ω
vel
= ω
pow
= ω
0
3.54
I = ∮ p dx = 2πE / ω
0
0.00