moment of inertia (vector notation) (Q2049): Difference between revisions
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Updated the item for moment of inertia (vector notation) from Special:Update |
Updated the item for moment of inertia (vector notation) from Special:Update |
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| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
| Property / LaTeX source | |||
| Property / LaTeX source: I_{\\hat n}(S)=\\int_{S}\\left\\| \\vec r_m \\wedge \\hat n \\right\\|^2 dm / rank | |||
| Property / note | |||
| Property / note: where $\\vec r_m$ is the position vector of $dm$ / rank | |||
| Property / attributed to | |||
| Property / attributed to: Rong Martin-Siebler ZHOU / rank | |||
| Property / describes | |||
| Property / describes: moment of inertia / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
I_{\\Delta}(S)=\\int_{S}\\left\\| \\vec r_m \\wedge \\hat \\delta \\right\\|^2 dm | |||
| Property / LaTeX source: I_{\\Delta}(S)=\\int_{S}\\left\\| \\vec r_m \\wedge \\hat \\delta \\right\\|^2 dm / rank | |||
Normal rank | |||
| Property / note | |||
where $dm$ is a unit mass of solid/system $(S)$, $\\vec r_m$ is the position vector of $dm$, and $\\delta$ is a unit vector along the axis of rotation $\\Delta$. | |||
| Property / note: where $dm$ is a unit mass of solid/system $(S)$, $\\vec r_m$ is the position vector of $dm$, and $\\delta$ is a unit vector along the axis of rotation $\\Delta$. / rank | |||
Normal rank | |||
| Property / attributed to | |||
| Property / attributed to: Rong Martin-Siebler ZHOU / rank | |||
Normal rank | |||
| Property / describes | |||
| Property / describes: moment of inertia / rank | |||
Normal rank | |||
Latest revision as of 08:09, 7 October 2026
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | moment of inertia (vector notation) |
No description defined |
Statements
I_{\\Delta}(S)=\\int_{S}\\left\\| \\vec r_m \\wedge \\hat \\delta \\right\\|^2 dm
0 references
where $dm$ is a unit mass of solid/system $(S)$, $\\vec r_m$ is the position vector of $dm$, and $\\delta$ is a unit vector along the axis of rotation $\\Delta$.
0 references