Use coordinate system provided in the question. **Finding the Centroid of a Composite Area****Problem Statement:**3. Find the centroid of the area shown to the right.**Solution:**\[\bar{x} = -0.241 \text{ in},\]\[\bar{y} = -2.58 \text{ in}.\]**Diagram Explanation:**The diagram depicts a composite area consisting of several geometric shapes:1. **Rectangle Base:** - Dimensions: 20 inches wide (10 inches + 10 inches) and 10 inches tall.2. **Triangle (left side):** - Height: 9 inches - Base: 6 inches3. **Semicircle (right side):** - Radius: 6 inches4. **Circle (cutout near bottom right):** - Radius: 2 inches - Positioned 4 inches from the right side of the rectangle and 4 inches from the bottom side**Axes:**- The diagram displays a coordinate system with \( x \) and \( y \) axes. The origin is located at the bottom of the rectangle.To find the centroid \((\bar{x}, \bar{y})\), we use geometric decomposition and centroid formulas, which involve balancing the composite shapes' areas around the axes to find the center of mass.

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Answered: 3. Find the centroid of the area shown…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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3. Find the centroid of the area shown to the right. Ans: =-0.241 in, %3D y =-2.58 in. %3D