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A solid is bounded below by the cone z = /x< +y and above by the plane z= 1. Find the center of mass and the moment of inertia about the z-axis if the density is 8(r,0,z) = 3z. The center of mass is (x.y,z) = (O). (Type integers or simplified fractions.)

A solid is bounded below by the cone z = /x< +y and above by the plane z= 1. Find the center of mass and the moment of inertia about the z-axis if the density is 8(r,0,z) = 3z. The center of mass is (x.y,z) = (O). (Type integers or simplified fractions.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A solid is bounded below by the cone z = Vx +y and above by the plane z= 1. Find the center of mass and the moment of inertia about the z-axis if the density is 8(r,0,z) = 3z. %3D The center of mass is (x,y,z) = ( (Type integers or simplified fractions.)
Transcribed Image Text:A solid is bounded below by the cone z = Vx +y and above by the plane z= 1. Find the center of mass and the moment of inertia about the z-axis if the density is 8(r,0,z) = 3z. %3D The center of mass is (x,y,z) = ( (Type integers or simplified fractions.)
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