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C. Find the center of mass of the lamina bound by y = VI, y = 0, and r = 4 if the density is given by p(x, y) = kry. (Answ: (7,7) = (3,8/7)) %3D %3D

C. Find the center of mass of the lamina bound by y = VI, y = 0, and r = 4 if the density is given by p(x, y) = kry. (Answ: (7,7) = (3,8/7)) %3D %3D

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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**Problem C: Center of Mass** Find the center of mass of the lamina bounded by the curves \( y = \sqrt{x} \), \( y = 0 \), and the line \( x = 4 \). The density of the lamina is given by the function \( \rho(x, y) = kxy \). **Answer:** The center of mass \((\bar{x}, \bar{y})\) is \((3, \frac{8}{7})\).
Transcribed Image Text:**Problem C: Center of Mass** Find the center of mass of the lamina bounded by the curves \( y = \sqrt{x} \), \( y = 0 \), and the line \( x = 4 \). The density of the lamina is given by the function \( \rho(x, y) = kxy \). **Answer:** The center of mass \((\bar{x}, \bar{y})\) is \((3, \frac{8}{7})\).
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