Parallel axis theorem: Difference between revisions
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==The Main Idea== | ==The Main Idea== | ||
The Parallel Axis Theorem is used to interpret the moment of inertia (I) for any axis parallel to the axis through the center line used to calculate the moment of inertia by using the object's mass and distance between the axes. | |||
===A Mathematical Model=== | ===A Mathematical Model=== | ||
The formula for the Parallel Axis Theorem is | |||
<math>{I}_{parallel} = {I}_{cm} + Md^2</math> | |||
where: | |||
<math>{I}_{cm}</math> is the moment of inertia about the center of mass. (Usually original / easier to solve) | |||
<math>M</math> is the total mass of the object. | |||
<math>d</math> is the distance between the Parallel Axis and the Center of Mass axis. | |||
==Examples== | ==Examples== | ||
Revision as of 14:13, 2 December 2025
Short Description of Topic
claimed by Fabian Nunez Fall 2025
The Main Idea
The Parallel Axis Theorem is used to interpret the moment of inertia (I) for any axis parallel to the axis through the center line used to calculate the moment of inertia by using the object's mass and distance between the axes.
A Mathematical Model
The formula for the Parallel Axis Theorem is [math]\displaystyle{ {I}_{parallel} = {I}_{cm} + Md^2 }[/math] where: [math]\displaystyle{ {I}_{cm} }[/math] is the moment of inertia about the center of mass. (Usually original / easier to solve) [math]\displaystyle{ M }[/math] is the total mass of the object. [math]\displaystyle{ d }[/math] is the distance between the Parallel Axis and the Center of Mass axis.
Examples
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