2. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point (a, y) is proportional to the square of the distance from the vertex opposite the hypotenuse.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
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2. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length
a if the density at any point (a, y) is proportional to the square of the distance from the vertex opposite
the hypotenuse.
Transcribed Image Text:2. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point (a, y) is proportional to the square of the distance from the vertex opposite the hypotenuse.
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