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4. Locate the centroid (7, 5) of the shaded area. 1 in, 3 in. - 3 in.- -3 in.- Prob. 9-64

4. Locate the centroid (7, 5) 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:** **Task:** Locate the centroid (\( \bar{x}, \bar{y} \)) of the shaded area. **Diagram Explanation:** The diagram shows a composite shape that is composed of a right triangle, a rectangle, and a semicircle. Here are the key measurements and features: - **Right Triangle (Left Section):** - Base: 3 inches - Height: 1 inch - **Rectangle (Middle Section):** - Width: 3 inches - Height: 1 inch - **Semicircle (Right Section):** - Radius: 3 inches - Center aligns with the right edge of the rectangle The shape is symmetric about the \( y \)-axis, with axes shown as coordinates \( x \) and \( y \), and the semicircle oriented such that its flat side aligns with the top edge of the rectangle and triangle. The task is to determine the location of the centroid for this composite shape.
Transcribed Image Text:**Problem 9-64:** **Task:** Locate the centroid (\( \bar{x}, \bar{y} \)) of the shaded area. **Diagram Explanation:** The diagram shows a composite shape that is composed of a right triangle, a rectangle, and a semicircle. Here are the key measurements and features: - **Right Triangle (Left Section):** - Base: 3 inches - Height: 1 inch - **Rectangle (Middle Section):** - Width: 3 inches - Height: 1 inch - **Semicircle (Right Section):** - Radius: 3 inches - Center aligns with the right edge of the rectangle The shape is symmetric about the \( y \)-axis, with axes shown as coordinates \( x \) and \( y \), and the semicircle oriented such that its flat side aligns with the top edge of the rectangle and triangle. The task is to determine the location of the centroid for this composite shape.
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