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Determine the coordinates of the centroid of the shaded area. 190 mm 190 mm 145 mm 115 mm 75 mm 115 mm --X

Determine the coordinates of the centroid of the shaded area. 190 mm 190 mm 145 mm 115 mm 75 mm 115 mm --X

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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**Problem Statement:** Determine the coordinates of the centroid of the shaded area. **Description of the Diagram:** The diagram illustrates a composite shape consisting of a rectangle with a right trapezoid section on the right side and a circular hole on the left side. The entire shape is aligned along the x-axis and y-axis. **Dimensions:** - The overall length of the shape is divided into three segments: 190 mm (left section), 190 mm (centered circle area), and 145 mm (right trapezoidal section). - The height of the rectangle and trapezoid is 115 mm. - The diameter of the circular hole is 75 mm, positioned in the center of the left rectangular section. - The entire shape rests on the x-axis, and the height is measured along the y-axis. **Task:** Calculate the centroid (\( \bar{X}, \bar{Y} \)) of the shaded composite shape, where the coordinates are noted in millimeters. **Answer Format:** The centroid coordinates should be entered into the given blanks: \( (\bar{X}, \bar{Y}) = ( \, \_\_\_ \, \, , \, \_\_\_ \, \, ) \, \text{mm} \)
Transcribed Image Text:**Problem Statement:** Determine the coordinates of the centroid of the shaded area. **Description of the Diagram:** The diagram illustrates a composite shape consisting of a rectangle with a right trapezoid section on the right side and a circular hole on the left side. The entire shape is aligned along the x-axis and y-axis. **Dimensions:** - The overall length of the shape is divided into three segments: 190 mm (left section), 190 mm (centered circle area), and 145 mm (right trapezoidal section). - The height of the rectangle and trapezoid is 115 mm. - The diameter of the circular hole is 75 mm, positioned in the center of the left rectangular section. - The entire shape rests on the x-axis, and the height is measured along the y-axis. **Task:** Calculate the centroid (\( \bar{X}, \bar{Y} \)) of the shaded composite shape, where the coordinates are noted in millimeters. **Answer Format:** The centroid coordinates should be entered into the given blanks: \( (\bar{X}, \bar{Y}) = ( \, \_\_\_ \, \, , \, \_\_\_ \, \, ) \, \text{mm} \)
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