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Moment of Inertia - Rod rotating about center

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on

Jul 24, 2020, 6:28:07 PM

Created by

on

Jul 5, 2016, 7:29:09 PM

I_{center} = \frac{m \cdot L^{2}}{12}

$I_"center" = ( m * L ^2)/12$

(m) Mass

$(m)"Mass"$

(L) Length of rod

$(L)"Length of rod"$

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/attachments/befd86e6-42e6-11e6-9770-bc764e2038f2/Moment_of_inertia_rod_center.svg.png

The Moment of Inertia for a Rod rotating about its center assumes that the rod is infinitely thin (but rigid) wire. This is a special case of the the thin rectangular plate with axis of rotation at the center of the plate, with w = L and h = 0. The following formula is used: $I_{center} = \frac{m L^{2}}{12}$ $I_"center"=(mL^2)/12$ , where:

$m$ $m$ = mass
$L$ $L$ = length of rod

References

The formula and definition are from Wikipedia (https://en.wikipedia.org/wiki/List_of_moments_of_inertia).

This equation, Moment of Inertia - Rod rotating about center, is used in 1 page

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