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Explain, in your own words, the difference between the first moments and the second moments with...

Explain, in your own words, the difference between the first moments and the second moments with respect to the x and y axis of a variable density sheet.
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Answer #1

The first moment or first moment of area is also known as the mass moment of inertia. It quantifies how much torque is applied for unit angular acceleration about a particular axis.

The second moment or second moment of area is also known as the area moment of inertia. It represents the resistance of a particular shape/area offers against bending and deflection about a particular axis. For a variable density sheet/plate, if second moment is about x axis it quantifies the sheet resistance to bending and deflection about x-axis. A similar explanation can be given for y axis.

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