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Define 'Moment of Inertia' and write mathematical expression square and quarter with both axis.
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written 5.2 years ago by | modified 15 months ago by |
Moment of inertia of a body about any axis is equal to the product of the area of the body and square of the distance of its centroid from that axis.
$Unit-mm ^{4}, \mathrm{cm}^{4}, \mathrm{m}^{4}$
$MI for Square =\mathrm{I}_{\mathrm{xx}=} \mathrm{I}_{\mathrm{yy}}=\frac{b d^{3}}{12}=\frac{b^{4}}{12}$
$MI for Quarter Circle =\mathrm{I}_{\mathrm{xx}=} \mathrm{I}_{\mathrm{yy}}=0.055 \mathrm{R}^{4}$