Find the mass and the x-coordinate of the center of mass of the lamina occupying t region R, where R is the region bounded by the graphs of y = sin(3x), y = 0, x = 0, and x = π/3, and having mass density p(x,y) = 4y.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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  1. Find the mass and the x-coordinate of the center of mass of the lamina occupying the region R, where R is the region bounded by the graphs of y = sin(3x), y = 0, x = 0, and x = π/3, and having mass density ρ(x,y) = 4y.
3. Find the mass and the x-coordinate of the center of mass of the lamina occupying the region \( R \), where \( R \) is the region bounded by the graphs of \( y = \sin(3x) \), \( y = 0 \), \( x = 0 \), and \( x = \pi/3 \), and having mass density \( \rho(x, y) = 4y \).
Transcribed Image Text:3. Find the mass and the x-coordinate of the center of mass of the lamina occupying the region \( R \), where \( R \) is the region bounded by the graphs of \( y = \sin(3x) \), \( y = 0 \), \( x = 0 \), and \( x = \pi/3 \), and having mass density \( \rho(x, y) = 4y \).
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