Source / pinned edition
Newton's Second Law for Rotation
Source of package openstax.rotation_equilibrium · OpenStax University Physics, ch. 10 Fixed-Axis Rotation, module m58332
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- urn:openstax:clir:rotation-equilibrium#M58332
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- OpenStax University Physics, ch. 10 Fixed-Axis Rotation, module m58332
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- urn:openstax:clir:rotation-equilibrium#treatise
m58332/index.cnxml at commit d0ed34a (main, 2026-06-11)
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- urn:openstax:clir:rotation-equilibrium#M58332_MAIN
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- en
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- official
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- adopted: 2026-06-11
Publications
| URI | Type | documentHash | Retrieved |
|---|---|---|---|
| https://raw.githubusercontent.com/openstax/osbooks-university-physics-bundle/d0ed34a5851119a42e3d972dfc0ff49e4663977c/modules/m58332/index.cnxml | application/xml; charset=utf-8 | sha256:668c1ec72eaa28c570a27095ae0ca6d09697e6203cca2f97c0fc8c1190256a93 | 2026-09-06T00:00:00Z |
Fragments — 2
module/m58332#fs-id1167131118823 · defn · referenced by: 3
en · official · sha256:08384342359e106385c3caa5faf49578c0d4c21338b131aaf3535d1a03a7c883
<definition id="fs-id1167131118823">
<term>Newton’s second law for rotation</term>
<meaning id="fs-id1167131118830">sum of the torques on a rotating system equals its moment of inertia times its angular acceleration</meaning>
</definition>Referencing norms: TorqueDisagreesWithRotation, TorqueEqualsInertiaTimesAngularAcceleration, angular_acceleration
module/m58332#fs-id1167134886602 · section
en · official · sha256:8981b90b2c50c780b6f971a1b2173e398ba03b95a48d2d21521de354406cb9c3
<note id="fs-id1167134886602">
<title>Newton’s Second Law for Rotation</title>
<para id="fs-id1167134511100">If more than one torque acts on a rigid body about a fixed axis, then the sum of the torques equals the moment of inertia times the angular acceleration:</para>
<equation id="fs-id1167134508536"><m:math><m:mrow><m:msub><m:mi>τ</m:mi><m:mi>net</m:mi></m:msub><m:mo>=</m:mo><m:mstyle displaystyle="true"><m:munder><m:mo>∑</m:mo><m:mi>i</m:mi></m:munder><m:mrow><m:msub><m:mi>τ</m:mi><m:mi>i</m:mi></m:msub></m:mrow></m:mstyle><m:mo>=</m:mo><m:mi>I</m:mi><m:mi>α</m:mi><m:mo>.</m:mo></m:mrow></m:math></equation>
</note>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.