Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
physical phenomenon
|
| gptkbp:accelerationEquation |
a(t) = -Aω² cos(ωt + φ)
|
| gptkbp:alsoKnownAs |
gptkb:SHM
|
| gptkbp:amplitude |
Maximum displacement from equilibrium
|
| gptkbp:angularFrequency |
ω = sqrt(k/m)
|
| gptkbp:appliesTo |
Electrical systems
Mechanical systems Optical systems Quantum systems |
| gptkbp:damping |
Absent in ideal SHM
|
| gptkbp:describes |
Oscillatory motion
|
| gptkbp:discoveredBy |
gptkb:Christiaan_Huygens
|
| gptkbp:energyConservation |
Total mechanical energy is constant
|
| gptkbp:equationOfMotion |
x(t) = A cos(ωt + φ)
|
| gptkbp:example |
Mass-spring system
Oscillating LC circuit Simple pendulum (small angles) Vibrating tuning fork |
| gptkbp:form |
Second-order linear differential equation
|
| gptkbp:frequency |
f = 1/T
|
| gptkbp:graphics |
Sinusoidal
|
| https://www.w3.org/2000/01/rdf-schema#label |
Simple Harmonic Motion
|
| gptkbp:kineticEnergy |
K = (1/2) m v²
|
| gptkbp:period |
T = 2π/ω
|
| gptkbp:phaseConstant |
φ
|
| gptkbp:potentialEnergy |
U = (1/2) k x²
|
| gptkbp:restoringForceDirection |
Opposite to displacement
|
| gptkbp:restoringForceProportionalTo |
Displacement
|
| gptkbp:totalEnergy |
E = (1/2) k A²
|
| gptkbp:velocityEquation |
v(t) = -Aω sin(ωt + φ)
|
| gptkbp:bfsParent |
gptkb:SHM
|
| gptkbp:bfsLayer |
7
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