**Compute the coordinates of the centroid \((\bar{x}, \bar{y})\) of the area shown.**The diagram presents a composite shape, which is partly shaded. It features a quadrant of a circle integrated with a rectangle, marked by specific dimensions. The image includes two intersecting axes (\(x\) and \(y\)).### Diagram Details:- **Shapes**: The shape has both a straight and a curved boundary.- **Dimensions**: - \(a\), \(b\), and \(c\) are the horizontal measurements along the \(x\)-axis. - \(d\) is the vertical measurement along the \(y\)-axis.- **Reference**: The top-right corner contains a copyright notice by Michael Swanbom, dated 2013, indicating the image is licensed with Creative Commons (CC) under BY-NC-SA.### Measurement Values:- **Variable Table**: - \(a = 45 \, \text{mm}\) - \(b = 27 \, \text{mm}\) - \(c = 23 \, \text{mm}\) - \(d = 90 \, \text{mm}\)### Centroid Coordinates:- **\(x\) Coordinate of the Centroid**: \[ \bar{x} = \underline{\hspace{2cm}} \, \text{mm} \]- **\(y\) Coordinate of the Centroid**: \[ \bar{y} = \underline{\hspace{2cm}} \, \text{mm} \]**Note**: Ensure dimensions are accurate to facilitate the precise calculation of the centroid’s coordinates. The shape might not be shown to scale.

Answered: Image /qna-images/answer/6cb5bcb5-7419-48e2-939c-cf847ef3b5d8.jpg

Compute the coordinates of the centroid (x, y) of the area shown. a b | | a с d y Variable Value 45 mm 27 mm 23 mm 90 mm The coordinate of the centroid is 2013 Michael Swanbom Cc+❀O BY NC SA ·b*c* Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. d The y coordinate of the centroid is y C x mm. mm.

Compute the coordinates of the centroid (x, y) of the area shown. a b | | a с d y Variable Value 45 mm 27 mm 23 mm 90 mm The coordinate of the centroid is 2013 Michael Swanbom Cc+❀O BY NC SA ·bc Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. d The y coordinate of the centroid is y C x mm. mm.

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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