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9-64. Locate the centroid (X, ỹ) of the shaded area. 1 in. 3 in. 3 in:- -3 in.- Prob. 9-64

9-64. Locate the centroid (X, ỹ) of the shaded area. 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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**Problem 9-64:** Locate the centroid (\(\bar{x}, \bar{y}\)) of the shaded area. **Diagram Explanation:** The diagram depicts a composite shape consisting of a rectangle and a semicircle attached to one side. The rectangle extends horizontally, with a width of 6 inches (3 inches on either side of the semicircle) and a height of 1 inch. The semicircle has a diameter of 3 inches and is positioned on top of the rectangle, aligned with its right edge. The y-axis is shown passing through the center of the semicircle, and the x-axis lies along the bottom edge of the rectangle. **Dimensions:** - Rectangle: 6 in (width) x 1 in (height) - Semicircle: 3 in (diameter) The task is to determine the coordinates (\(\bar{x}, \bar{y}\)) of the centroid of the entire shaded area.
Transcribed Image Text:**Problem 9-64:** Locate the centroid (\(\bar{x}, \bar{y}\)) of the shaded area. **Diagram Explanation:** The diagram depicts a composite shape consisting of a rectangle and a semicircle attached to one side. The rectangle extends horizontally, with a width of 6 inches (3 inches on either side of the semicircle) and a height of 1 inch. The semicircle has a diameter of 3 inches and is positioned on top of the rectangle, aligned with its right edge. The y-axis is shown passing through the center of the semicircle, and the x-axis lies along the bottom edge of the rectangle. **Dimensions:** - Rectangle: 6 in (width) x 1 in (height) - Semicircle: 3 in (diameter) The task is to determine the coordinates (\(\bar{x}, \bar{y}\)) of the centroid of the entire shaded area.
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