simple harmonic oscillator

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:physical_phenomenon
gptkbp:displacement	x(t)
gptkbp:example	mass-spring system pendulum (small angles)
gptkbp:exhibits	simple harmonic motion
gptkbp:frequency	f = 1/T
gptkbp:hasAcceleration	a(t) = -Aω^2 cos(ωt + φ)
gptkbp:hasAmplitude	A
gptkbp:hasAngularFrequency	ω = sqrt(k/m)
gptkbp:hasApplication	electronics mechanics quantum mechanics
gptkbp:hasDamping	none (ideal case)
gptkbp:hasEnergy	E = (1/2)kA^2
gptkbp:hasEquationOfMotion	F = -kx
gptkbp:hasKineticEnergy	K = (1/2)mv^2
gptkbp:hasPhaseConstant	φ
gptkbp:hasPotentialEnergy	U = (1/2)kx^2
gptkbp:hasResonance	at natural frequency
gptkbp:hasRestoringForce	proportional to displacement
gptkbp:hasVelocity	v(t) = -Aω sin(ωt + φ)
gptkbp:isLinearSystem	true
gptkbp:period	T = 2π/ω
gptkbp:solvedBy	x(t) = A cos(ωt + φ)
gptkbp:studiedIn	physics
gptkbp:bfsParent	gptkb:Ordinary_Differential_Equations gptkb:Hamiltonian_systems
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	simple harmonic oscillator