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
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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Transcribed Image Text:### 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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