Source-pinned research
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14 results
Clear filtersClassicalMechanics.DampedHarmonicOscillator.equationOfMotion_unique
Plain-language statement
Any two smooth solutions of the damped equation of motion with the same initial position and velocity are equal.
Source project: Physlib
Person-level attribution pending.
ClassicalMechanics.DampedHarmonicOscillator.trajectory_equationOfMotion_of_criticallyDamped
Plain-language statement
In the critically damped regime, the selected trajectory satisfies the damped equation of motion.
Source project: Physlib
Person-level attribution pending.
ClassicalMechanics.DampedHarmonicOscillator.trajectory_equationOfMotion_of_overdamped
Plain-language statement
In the overdamped regime, the selected trajectory satisfies the damped equation of motion.
Source project: Physlib
Person-level attribution pending.
ClassicalMechanics.DampedHarmonicOscillator.trajectory_equationOfMotion_of_underdamped
Plain-language statement
In the underdamped regime, the selected trajectory satisfies the damped equation of motion.
Source project: Physlib
Person-level attribution pending.
ClassicalMechanics.DampedHarmonicOscillator.trajectory_velocity_at_zero
Plain-language statement
The selected trajectory has initial velocity IC.v₀.
Source project: Physlib
Person-level attribution pending.
ClassicalMechanics.HarmonicOscillator.AmplitudePhase.toInitialConditions_fromInitialConditions
Plain-language statement
fromInitialConditions is a right inverse of toInitialConditions: converting initial conditions to amplitude–phase form and back recovers them exactly.
Source project: Physlib
Person-level attribution pending.