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Locate the centroid of the parabola by integration and use integration to locate the centroid of the quarter circular are shown in the table. 1.0 ft 1.0 ft y=r²_ my 1.0 ft 1.0 ft -X

Locate the centroid of the parabola by integration and use integration to locate the centroid of the quarter circular are shown in the table. 1.0 ft 1.0 ft y=r²_ my 1.0 ft 1.0 ft -X

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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Locate the centroid of the parabola by integration and use integration to locate the centroid of the quarter circular arc shown in the table. y=r. 1.0 ft 1.0 ft 1.0 ft 1.0 ft
Transcribed Image Text:Locate the centroid of the parabola by integration and use integration to locate the centroid of the quarter circular arc shown in the table. y=r. 1.0 ft 1.0 ft 1.0 ft 1.0 ft
dyldx x(ds/dx) (in.) ds/dx y(ds/dx) (in.) (in.) (in.) 0.0 0.0000 1.0472 1.4480 0.0000 0.0000 0.5 0.5176 1.0115 1.4224 0.7112 0.7363 1.0 1.0000 0.9069 1.3500 1.3500 1.3500 1.5 0.7405 0.5236 1.4142 1.2443 1.8665 1.7597 2.0 1.7321 1.1288 2.2576 1.9551 2.5 1.9319 0.2710 1.0361 2.5902 2.0016 3.0 2.0000 0.0000 1.0000 3.0000 2.0000 -23 +567
Transcribed Image Text:dyldx x(ds/dx) (in.) ds/dx y(ds/dx) (in.) (in.) (in.) 0.0 0.0000 1.0472 1.4480 0.0000 0.0000 0.5 0.5176 1.0115 1.4224 0.7112 0.7363 1.0 1.0000 0.9069 1.3500 1.3500 1.3500 1.5 0.7405 0.5236 1.4142 1.2443 1.8665 1.7597 2.0 1.7321 1.1288 2.2576 1.9551 2.5 1.9319 0.2710 1.0361 2.5902 2.0016 3.0 2.0000 0.0000 1.0000 3.0000 2.0000 -23 +567
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