### Determining Centroid Coordinates of a Shaded Plane Shape#### Problem Statement:For the shaded plane shape shown below, determine the coordinates of the centroid \((\bar{x}, \bar{y})\) in inches.#### Diagram Description:- The diagram is a coordinate plane with both \(x\)-axis and \(y\)-axis labeled with units in inches.- The shape is a parallelogram, shaded in red, positioned within the coordinate plane.- Vertices of the parallelogram are approximately: - Top left at \((-82, 82)\) - Top right at \((82, 82)\) - Bottom left at \((-82, -82)\) - Bottom right at \((82, -82)\)#### Graph Axes:- The \(x\)-axis ranges from \(-82\) to \(82\) inches.- The \(y\)-axis ranges from \(-82\) to \(82\) inches.#### Input Section:- A form to input the calculated \(x\)-coordinate of the centroid, labeled \(\bar{x} =\), with the value entered as \(-18\) inches and marked incorrect (indicated by a red "x").- A space to enter the \(y\)-coordinate of the centroid, labeled \(\bar{y} =\), which is currently blank.#### Objective:Calculate and input the correct coordinates for the centroid of the parallelogram in inches.

Answered: Image /qna-images/answer/7f7f30b5-b982-4d73-b449-7041bbdebf7c.jpg

Answered: For the shaded plane shape shown below,…

For the shaded plane shape shown below, determine the coordinates of the centroid (x, y) in inches. у (in) 82 -82 x (in) 82 -82 X = -18 X in

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

### Determining Centroid Coordinates of a Shaded Plane Shape

#### Problem Statement:
For the shaded plane shape shown below, determine the coordinates of the centroid \((\bar{x}, \bar{y})\) in inches.

#### Diagram Description:
- The diagram is a coordinate plane with both \(x\)-axis and \(y\)-axis labeled with units in inches.
- The shape is a parallelogram, shaded in red, positioned within the coordinate plane.
- Vertices of the parallelogram are approximately:
- Top left at \((-82, 82)\)
- Top right at \((82, 82)\)
- Bottom left at \((-82, -82)\)
- Bottom right at \((82, -82)\)

#### Graph Axes:
- The \(x\)-axis ranges from \(-82\) to \(82\) inches.
- The \(y\)-axis ranges from \(-82\) to \(82\) inches.

#### Input Section:
- A form to input the calculated \(x\)-coordinate of the centroid, labeled \(\bar{x} =\), with the value entered as \(-18\) inches and marked incorrect (indicated by a red "x").
- A space to enter the \(y\)-coordinate of the centroid, labeled \(\bar{y} =\), which is currently blank.

#### Objective:
Calculate and input the correct coordinates for the centroid of the parallelogram in inches.

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