Find the mass and center of mass of the thin constant-density plata shown i the pure to the right Assume a density of 1. The mass is r (Type an exact answer in simplified form.) Set up the double integral that gives M, the plate's first moment about the y-axis. Use increasing imits of integrator 00 M-SJO 00 Set up the double integral that gives M,, the plate's first moment about the x-axis. Use increasing limits of integration 00 M-SJO 00 (Type exact answers) (Type exact answers) The center of mass is located at (Type an ordered pair Type an exact answer in simplified form) PAR PAD 4.3 An

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:3 (6.0)
Find the mass and center of mass of the thin constant-density plate shown in the figure to the right. Assume a density of 1.
The mass is m
Cype an exact answer in simplified form.)
Set up the double integral that gives M, the plate's first moment about the yax Use increasing limits of integration
00
4-110
(Type exact answers)
Set up the double integral that gives M,, the plate's first moment about the x-axis. Use increasing limits of integration
00
M-JO
(Type exact answers.)
The center of mass is located at
(Type an ordered pair. Type an exact answer in simplified form.)
1-40
(40)
verying "Mas Cuck
14.3
AR
Transcribed Image Text:Find the mass and center of mass of the thin constant-density plate shown in the figure to the right. Assume a density of 1. The mass is m Cype an exact answer in simplified form.) Set up the double integral that gives M, the plate's first moment about the yax Use increasing limits of integration 00 4-110 (Type exact answers) Set up the double integral that gives M,, the plate's first moment about the x-axis. Use increasing limits of integration 00 M-JO (Type exact answers.) The center of mass is located at (Type an ordered pair. Type an exact answer in simplified form.) 1-40 (40) verying "Mas Cuck 14.3 AR
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