Simple Harmonic Motion & Resonance
Simple Harmonic Motion
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Damped SHM
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Forced & Resonance
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▶ Play
↻ Reset
General form of displacement equation:
x = A cos(ωt + ε)
Spring constant (k)
1.5 N/m
Mass (m)
4.0 kg
Amplitude, A
5.0 cm
Time
0.00 s
Derived (from k and m)
Display
Show phasor
Show projection lines
Show period
Show probes
Vectors
Show displacement
Show velocity
Show acceleration
Show force
Angular values
Show angular values
ωt
ε
ωt + ε
Analysis
Graphs
Set clock start (data logger)
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Phase explorer
?
Show analysis graphs (x, v, a)
Show energy graph
Show
a
vs
x
graph
Show energy vs
x
graph
Open graph in a resizable window
⤢
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↻ Reset
Spring constant (k)
1.5 N/m
Mass (m)
4.0 kg
Amplitude, A
5.0 cm
Time
0.00 s
Damping rate (
γ
)
0.18 s⁻¹
Derived (from k and m)
Display
Show damping profile
Show projection lines
Show period
Show probes
Vectors
Show displacement
Show velocity
Show acceleration
Show restoring force
Show drag force
Analysis
Graphs
Show analysis graphs (x, v, a)
Show energy graph
Show
a
vs
x
graph
Show energy vs
x
graph
Analysis — x, v, a vs time
▶
×
Show tangent on
x
Show tangent on
v
Pause to enable tangents and dot scrubbing
Energy — KE, EPE, Total vs time
▶
×
Acceleration vs Displacement —
a
vs
x
▶
×
Energy — KE, EPE, Total vs
x
▶
×
Displacement–time graph
×
Graphs
▶
×
x, v, a vs t
Energy vs t
ln A vs t
Show tangent on
x
Show tangent on
v
Pause to enable tangents and dot scrubbing
Show % drop per cycle
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↻ Reset
Spring constant (k)
1.3 N/m
Mass (m)
0.5 kg
Driving frequency (f)
0.255 Hz
Damping rate (
γ
)
0.21 s⁻¹
Time
0.00 s
Derived (from k and m)
Display
Show natural frequency line
Show resonance curve
Show probe
Show displacement
Show velocity
Show force
Analysis
Show phase difference
Graphs
Analysis — x, v, a vs time
▶
×
Show tangent on
x
Show tangent on
v
Pause to enable tangents and dot scrubbing
Energy — KE, EPE, Total vs time
▶
×
Acceleration vs Displacement —
a
vs
x
▶
×
Energy — KE, EPE, Total vs
x
▶
×
Graphs
▶
×
x, v, a vs t
Energy vs t
a
vs
x
Energy vs
x
Show tangent on
x
Show tangent on
v
Pause to enable tangents and dot scrubbing
Phase — driver vs oscillator
▶
×
Graphs
×
amplitude vs
f
phase vs
f
force & displacement vs
t
mean power vs
f
force & velocity vs
t
×