The coordinate axes in the figure run through the centroid of a solid wedge parallel to the labeled edges. The wedge has a = 2, b = 6, and c=3. 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 = 6 is r² = (y-6)²+z2. Calculate the moment of inertia of the wedge about L. (Simplify your answer. Type an integer or fraction.) Centroid a(0,0,0)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 7E: Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a...
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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 = 2, b = 6, and c=3. 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=6 is r² = (y-6)²+22.
Calculate the moment of inertia of the wedge about L.
=
(Simplify your answer. Type an integer or fraction.)
Centroid
a(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 = 2, b = 6, and c=3. 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=6 is r² = (y-6)²+22. Calculate the moment of inertia of the wedge about L. = (Simplify your answer. Type an integer or fraction.) Centroid a(0,0,0)
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