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*9-64. Locate the centroid (x, y) of the shaded area. y 1 in. 3 in. 3 in. 3 in. Prob. 9-64

*9-64. Locate the centroid (x, y) of the shaded area. y 1 in. 3 in. 3 in. 3 in. Prob. 9-64

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The problem is from a textbook and is labeled as "*9–64." The task is to locate the centroid (\(\bar{x}, \bar{y}\)) of the shaded area. **Diagram Explanation:** - The diagram is in a Cartesian coordinate system with \(x\) and \(y\) axes. - The shaded area is a composite figure consisting of a rectangle and a semicircle: - The rectangle has a base of 6 inches and a height of 1 inch. - The semicircle is aligned along the top side of the rectangle with a radius of 3 inches. - Overall dimensions of the composite figure are: - Total width of 6 inches (3 inches on each side of the semicircle radius). - Total height is 4 inches (3 inches radius + 1 inch rectangle height). **Given Measurements:** - The semicircle is centered at the origin on the \(x\) axis with a radius of 3 inches. - The rectangle starts 3 inches to the left and ends 3 inches to the right of the semicircle, with a total base length of 6 inches. The problem is titled "Prob. 9–64."
Transcribed Image Text:The problem is from a textbook and is labeled as "*9–64." The task is to locate the centroid (\(\bar{x}, \bar{y}\)) of the shaded area. **Diagram Explanation:** - The diagram is in a Cartesian coordinate system with \(x\) and \(y\) axes. - The shaded area is a composite figure consisting of a rectangle and a semicircle: - The rectangle has a base of 6 inches and a height of 1 inch. - The semicircle is aligned along the top side of the rectangle with a radius of 3 inches. - Overall dimensions of the composite figure are: - Total width of 6 inches (3 inches on each side of the semicircle radius). - Total height is 4 inches (3 inches radius + 1 inch rectangle height). **Given Measurements:** - The semicircle is centered at the origin on the \(x\) axis with a radius of 3 inches. - The rectangle starts 3 inches to the left and ends 3 inches to the right of the semicircle, with a total base length of 6 inches. The problem is titled "Prob. 9–64."
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