{"type":"rich","version":"1.0","title":"moment of inertia (vector notation)","html":"<span class=\"wb-embed wb-embed-math\" data-latex=\"I_{\\Delta}(S)=\\int_{S}\\left\\| \\vec r_m \\wedge \\hat \\delta \\right\\|^2 dm\">I_{\\Delta}(S)=\\int_{S}\\left\\| \\vec r_m \\wedge \\hat \\delta \\right\\|^2 dm</span><div class=\"wb-embed-note\"><p>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  $\\Delta$.\n</p></div><footer><cite class=\"wb-embed-author\">Rong Martin-Siebler ZHOU</cite></footer>","width":640,"height":320}