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3. Locate the centroid of the plane area shown. 120 mm r = 75 mm

3. Locate the centroid of the plane area shown. 120 mm r = 75 mm

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 3: Locating the Centroid of a Plane Area** **Description:** The diagram presents a composite shape consisting of a right triangle with a semicircle removed from its hypotenuse. The configuration is outlined with the Cartesian coordinate system, indicating the axes \(x\) and \(y\). **Dimensions:** - The base of the triangle along the x-axis measures 120 mm. - A semicircle is positioned at the top right of the triangle, with a radius \(r = 75 \, \text{mm}\). **Objective:** The problem requires determining the centroid of the shaded plane area, which is the part of the triangle that remains after subtracting the semicircle. Analyzing this setup involves employing standard methods to calculate the centroid of composite areas, factoring in the removal of the semicircular section.
Transcribed Image Text:**Problem 3: Locating the Centroid of a Plane Area** **Description:** The diagram presents a composite shape consisting of a right triangle with a semicircle removed from its hypotenuse. The configuration is outlined with the Cartesian coordinate system, indicating the axes \(x\) and \(y\). **Dimensions:** - The base of the triangle along the x-axis measures 120 mm. - A semicircle is positioned at the top right of the triangle, with a radius \(r = 75 \, \text{mm}\). **Objective:** The problem requires determining the centroid of the shaded plane area, which is the part of the triangle that remains after subtracting the semicircle. Analyzing this setup involves employing standard methods to calculate the centroid of composite areas, factoring in the removal of the semicircular section.
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