Source / pinned edition

Simple Harmonic Motion

Source of package openstax.fluids_waves · OpenStax University Physics, ch. 15 Oscillations, module m58361

work
urn:openstax:clir:fluids-oscillations-waves#M58361
number
OpenStax University Physics, ch. 15 Oscillations, module m58361
kind
urn:openstax:clir:fluids-oscillations-waves#treatise

m58361/index.cnxml at commit d0ed34a (main, 2026-06-11)

edition
urn:openstax:clir:fluids-oscillations-waves#M58361_MAIN
language
en
officiality
official
materialisation
PINNED_OFFICIAL_BYTES
life cycle
adopted: 2026-06-11

Publications

URITypedocumentHashRetrieved
https://raw.githubusercontent.com/openstax/osbooks-university-physics-bundle/d0ed34a5851119a42e3d972dfc0ff49e4663977c/modules/m58361/index.cnxmlapplication/xml; charset=utf-8sha256:ae93c0a18285471b85dc66eafd37d61f7e4e0b56d4e837655f67f63e99f589952026-09-06T00:00:00Z

Fragments — 6

module/m58361#fs-id1167134884122 · defn · referenced by: 1

en · official · sha256:023b8a268a6bd1b648c257ff599fda4e61b04d192cd846a6e1715b745dff4183

<definition id="fs-id1167134884122"> <term>amplitude (<emphasis effect="italics">A</emphasis>)</term> <meaning id="fs-id1167131140954">maximum displacement from the equilibrium position of an object oscillating around the equilibrium position</meaning> </definition>

Referencing norms: oscillation_amplitude

module/m58361#fs-id1167134967610 · defn · referenced by: 1

en · official · sha256:1ec09e504c513cf2060892112bf66755bee73cf7f1bda6e628becdc3c80c5f59

<definition id="fs-id1167134967610"> <term>frequency (<emphasis effect="italics">f</emphasis>)</term> <meaning id="fs-id1167130056516">number of events per unit of time</meaning> </definition>

Referencing norms: FrequencyIsReciprocalOfPeriod

module/m58361#fs-id1167131399479 · section · referenced by: 2

en · official · sha256:390cc0314a746ecb03ae41ad627f0c554e0a479bfabf7e8e1692277ff24d5484

<equation id="fs-id1167131399479"><label/><m:math><m:mrow><m:mi>x</m:mi><m:mrow><m:mo>(</m:mo><m:mi>t</m:mi><m:mo>)</m:mo></m:mrow><m:mo>=</m:mo><m:mi>A</m:mi><m:mspace width="0.1em"/><m:mtext>cos</m:mtext><m:mrow><m:mo>(</m:mo><m:mrow><m:mfrac><m:mrow><m:mn>2</m:mn><m:mi>π</m:mi></m:mrow><m:mi>T</m:mi></m:mfrac><m:mi>t</m:mi></m:mrow><m:mo>)</m:mo></m:mrow><m:mo>=</m:mo><m:mi>A</m:mi><m:mspace width="0.1em"/><m:mtext>cos</m:mtext><m:mrow><m:mo>(</m:mo><m:mrow><m:mi>ω</m:mi><m:mi>t</m:mi></m:mrow><m:mo>)</m:mo></m:mrow><m:mo>.</m:mo></m:mrow></m:math></equation>

Referencing norms: DisplacementFromHarmonicLaw, elapsed_time

module/m58361#fs-id1167134820699 · defn · referenced by: 1

en · official · sha256:55b41599ac95be43705d29a3d50bb984bf5c6223ffb9c1e0527061b43560aa67

<definition id="fs-id1167134820699"> <term>period (<emphasis effect="italics">T</emphasis>)</term> <meaning id="fs-id1167131268003">time taken to complete one oscillation</meaning> </definition>

Referencing norms: oscillation_period

module/m58361#fs-id1167134434639 · defn · referenced by: 4

en · official · sha256:d2801c6b9d85806d3e173c7e14ce266680be845ff470e326431c3f57f43ea6fa

<definition id="fs-id1167134434639"> <term>simple harmonic motion (SHM)</term> <meaning id="fs-id1167131531285">oscillatory motion in a system where the restoring force is proportional to the displacement, which acts in the direction opposite to the displacement</meaning> </definition>

Referencing norms: NonProportionalForceRefutesSHM, ProportionalRestoringForceIsSHM, restoring_force_not_proportional, restoring_force_proportional_to_displacement

module/m58361#fs-id1167134573788 · section · referenced by: 3

en · official · sha256:fefa611f28e0d451cf3e87d7b18f4b4bb8859249cb7283909f913249dc2f8b7f

<equation id="fs-id1167134573788"><label/><m:math><m:mrow><m:mi>T</m:mi><m:mo>=</m:mo><m:mn>2</m:mn><m:mi>π</m:mi><m:msqrt><m:mrow><m:mfrac><m:mi>m</m:mi><m:mi>k</m:mi></m:mfrac></m:mrow></m:msqrt><m:mo>.</m:mo></m:mrow></m:math></equation>

Referencing norms: SpringPeriodFromMassAndStiffness, oscillating_mass, spring_constant

The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.