The coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled edges. The wedge has a = 6, b=9, and c = 6. The solid has constant density 8 = 1. The square of the distance from a typical point (x,y,z) of the wedge to the line L: z = 0, y = 9 is r² =(y - 9)² + z². Calculate the moment of inertia of the wedge about L.

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
Section: Chapter Questions
Problem 9.53P
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The coordinate axes in the figure run through the
centroid of a solid wedge parallel to the labeled edges.
The wedge has a = 6, b = 9, and c = 6. The solid has
constant density 8 = 1. The square of the distance from a
typical point (x,y,z) of the wedge to the line L: z = 0, y = 9
is r² =(y - 9)² + z².
Calculate the moment of inertia of the wedge about L.
um
G/N
Centroid
at (0, 0,0)
Transcribed Image Text:The coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled edges. The wedge has a = 6, b = 9, and c = 6. The solid has constant density 8 = 1. The square of the distance from a typical point (x,y,z) of the wedge to the line L: z = 0, y = 9 is r² =(y - 9)² + z². Calculate the moment of inertia of the wedge about L. um G/N Centroid at (0, 0,0)
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