3. Suppose that the density at each point in a lamina D = {(x, y) € R²|- a ≤x≤a,-√a²-x² ≤ y ≤ √a²-x²} in the xy-plane is directly proportional to thrice the point's distance from the origin. Find the center of mass of the lamina.
3. Suppose that the density at each point in a lamina D = {(x, y) € R²|- a ≤x≤a,-√a²-x² ≤ y ≤ √a²-x²} in the xy-plane is directly proportional to thrice the point's distance from the origin. Find the center of mass of the lamina.
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
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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