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gptkbp:instanceOf
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Mathematical Model
Physical System
|
|
gptkbp:amplitude
|
A
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|
gptkbp:angularFrequency
|
ω = sqrt(k/m)
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|
gptkbp:canBeDamped
|
True
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|
gptkbp:canBeDriven
|
True
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gptkbp:describes
|
Oscillatory Motion
|
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gptkbp:dimensions
|
Multi-Dimensional
One-Dimensional
|
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gptkbp:energyConserved
|
True
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|
gptkbp:example
|
gptkb:Molecular_Vibrations
LC Circuit
Mass-Spring System
Pendulum (for small angles)
|
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gptkbp:frequency
|
f = (1/2π) sqrt(k/m)
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gptkbp:generalizes
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gptkb:Anharmonic_Oscillator
|
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gptkbp:governedBy
|
Hooke's Law
|
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gptkbp:hasApplication
|
gptkb:quantum_field_theory
gptkb:Spectroscopy
Seismology
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gptkbp:hasEquation
|
F = -kx
m d²x/dt² + kx = 0
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gptkbp:hasKineticEnergy
|
K = (1/2) m v^2
|
|
gptkbp:hasPotentialEnergy
|
U = (1/2) k x^2
|
|
gptkbp:hasResonance
|
True
|
|
gptkbp:hasRestoringForce
|
Proportional to Displacement
|
|
gptkbp:hasType
|
Damped Harmonic Oscillator
Driven Harmonic Oscillator
Simple Harmonic Oscillator
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Harmonic Oscillator
|
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gptkbp:movement
|
Periodic
|
|
gptkbp:parameter
|
marina
Angular Frequency
Spring Constant
|
|
gptkbp:period
|
φ
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gptkbp:quantizedIn
|
gptkb:Quantum_Mechanics
|
|
gptkbp:quantumEnergyLevels
|
E_n = (n + 1/2) ħω
|
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gptkbp:relatedTo
|
gptkb:Fourier_Analysis
gptkb:Wave_Motion
Vibrations
Normal Modes
Eigenfrequencies
|
|
gptkbp:solvedBy
|
x(t) = A cos(ωt + φ)
|
|
gptkbp:totalEnergy
|
E = (1/2) k A^2
|
|
gptkbp:usedIn
|
gptkb:Physics
Chemistry
Engineering
Biology
|
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gptkbp:bfsParent
|
gptkb:Molecular_Vibrations
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gptkbp:bfsLayer
|
6
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