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gptkbp:instanceOf
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gptkb:physical_phenomenon
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gptkbp:accelerationEquation
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a(t) = -Aω² cos(ωt + φ)
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gptkbp:alsoKnownAs
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gptkb:SHM
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gptkbp:amplitude
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Maximum displacement from equilibrium
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gptkbp:angularFrequency
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ω = sqrt(k/m)
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gptkbp:appliesTo
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Electrical systems
Mechanical systems
Optical systems
Quantum systems
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gptkbp:damping
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Absent in ideal SHM
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gptkbp:describes
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Oscillatory motion
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gptkbp:discoveredBy
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gptkb:Christiaan_Huygens
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gptkbp:energyConservation
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Total mechanical energy is constant
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gptkbp:equationOfMotion
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x(t) = A cos(ωt + φ)
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gptkbp:example
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Mass-spring system
Oscillating LC circuit
Simple pendulum (small angles)
Vibrating tuning fork
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gptkbp:form
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Second-order linear differential equation
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gptkbp:frequency
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f = 1/T
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gptkbp:graphics
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Sinusoidal
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gptkbp:kineticEnergy
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K = (1/2) m v²
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gptkbp:period
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T = 2π/ω
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gptkbp:phaseConstant
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φ
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gptkbp:potentialEnergy
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U = (1/2) k x²
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gptkbp:restoringForceDirection
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Opposite to displacement
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gptkbp:restoringForceProportionalTo
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Displacement
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gptkbp:totalEnergy
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E = (1/2) k A²
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gptkbp:velocityEquation
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v(t) = -Aω sin(ωt + φ)
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gptkbp:bfsParent
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gptkb:SHM
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gptkbp:bfsLayer
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7
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https://www.w3.org/2000/01/rdf-schema#label
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Simple Harmonic Motion
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