Identify the following statement that is true regarding products of inertia. Product of inertia magnitudes for composite areas are always non-zero. Product of inertia magnitudes must be equal to or greater than the magnitude of the area. O In order for a product of inertia to be zero, the area must be symmetric about both axes in a set.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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Identify the following statement that is true regarding products of inertia.
Product of inertia magnitudes for composite areas are always non-zero.
Product of inertia magnitudes must be equal to or greater than the magnitude of the area.
In order for a product of inertia to be zero, the area must be symmetric about both axes in a
set.
Small areas at large distances away from the axes can potentially have the same product of
inertia magnitude as large areas that lie closer to the axes.
If the x-centroidal and the y-centroidal dimensions for an area are equal in magnitude but
have opposite signs, then the product of inertia for that area will be zero.
Transcribed Image Text:Identify the following statement that is true regarding products of inertia. Product of inertia magnitudes for composite areas are always non-zero. Product of inertia magnitudes must be equal to or greater than the magnitude of the area. In order for a product of inertia to be zero, the area must be symmetric about both axes in a set. Small areas at large distances away from the axes can potentially have the same product of inertia magnitude as large areas that lie closer to the axes. If the x-centroidal and the y-centroidal dimensions for an area are equal in magnitude but have opposite signs, then the product of inertia for that area will be zero.
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