The coordinate axes in Figure 2 run through the centroid of a solid wedge parallel to the labelled edges. If the values of a = 6, b = 6 and c = 4, show that the equation of the plane at the top of the wedge is 24y+36z-48=0. Hence, find the moment of inertia with respect to x-axis, I = fff (y² +2²)dz dy dx . 3 NE filmi Figure 2 Centroid at (0, 0, 0) a

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The coordinate axes in Figure 2 run through the centroid of a solid wedge parallel to the
labelled edges. If the values of a = 6, b = 6 and c = 4, show that the equation of the plane at
the top of the wedge is 24y+362-48=0. Hence, find the moment of inertia with respect to
x-axis, I = fff (y² +2²)dz dy dx .
3
a
Figure 2
Centroid
at (0, 0, 0)
a
Transcribed Image Text:The coordinate axes in Figure 2 run through the centroid of a solid wedge parallel to the labelled edges. If the values of a = 6, b = 6 and c = 4, show that the equation of the plane at the top of the wedge is 24y+362-48=0. Hence, find the moment of inertia with respect to x-axis, I = fff (y² +2²)dz dy dx . 3 a Figure 2 Centroid at (0, 0, 0) a
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