A thin plate of constant density k, bounded by the parabola y=3x² and the line y=3 has a mass 4k. Find the center of mass of the plate.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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5.
A thin plate of constant density k, bounded by the parabola y=3x² and the line
y =3 has a mass 4k. Find the center of mass of the plate.
Transcribed Image Text:5. A thin plate of constant density k, bounded by the parabola y=3x² and the line y =3 has a mass 4k. Find the center of mass of the plate.
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