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Determine the x- and y-coordinates of the centroid of the shaded area. 70 -195 70 140 Dimensions in millimeters Answers: (X, Y) = ( i ) n 197.5 i 93.333

Determine the x- and y-coordinates of the centroid of the shaded area. 70 -195 70 140 Dimensions in millimeters Answers: (X, Y) = ( i ) n 197.5 i 93.333

Elements Of Electromagnetics
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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**Title: Determining the Centroid of a Shaded Area** **Objective:** Determine the x- and y-coordinates of the centroid of the shaded area. **Diagram Description:** The diagram shows a shaded geometric shape consisting of a rectangle with a right triangle on top. The dimensions of the shape are given in millimeters: - The base of the shape runs along the x-axis and is a total of 265 mm long (70 mm + 195 mm). - The left side of the shape is 210 mm high (70 mm for the rectangle and 140 mm for the triangle's height). - The width of the triangle's base is 195 mm. **Dimensions:** - The shorter rectangle on the left has a height of 70 mm and a width of 70 mm. - A larger rectangle area of 195 mm width is included, constituting the base for the right triangle. **Solution:** **Answers:** The coordinates of the centroid are: - \((\overline{X}, \overline{Y}) = (197.5, 93.333)\) mm These coordinates represent the center of mass or balance point of the shaded area.
Transcribed Image Text:**Title: Determining the Centroid of a Shaded Area** **Objective:** Determine the x- and y-coordinates of the centroid of the shaded area. **Diagram Description:** The diagram shows a shaded geometric shape consisting of a rectangle with a right triangle on top. The dimensions of the shape are given in millimeters: - The base of the shape runs along the x-axis and is a total of 265 mm long (70 mm + 195 mm). - The left side of the shape is 210 mm high (70 mm for the rectangle and 140 mm for the triangle's height). - The width of the triangle's base is 195 mm. **Dimensions:** - The shorter rectangle on the left has a height of 70 mm and a width of 70 mm. - A larger rectangle area of 195 mm width is included, constituting the base for the right triangle. **Solution:** **Answers:** The coordinates of the centroid are: - \((\overline{X}, \overline{Y}) = (197.5, 93.333)\) mm These coordinates represent the center of mass or balance point of the shaded area.
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