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9-6. Locate the centroid y of the area. Problem 9-6 1 m y=1 T -2 m- x² X

9-6. Locate the centroid y of the area. Problem 9-6 1 m y=1 T -2 m- x² 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 9-6: Locate the centroid \( \bar{y} \) of the area.** ### Explanation of Diagram The diagram illustrates a semicircular shape defined by the equation \( y = 1 - \frac{1}{4}x^2 \). Here are the details: - **Shape Description**: The shaded area is a semicircle positioned above the x-axis. - **Dimensions**: - The total width along the x-axis is 2 meters. - The height from the x-axis to the top of the semicircle is 1 meter. - **Equation**: The curve follows the parabolic equation \( y = 1 - \frac{1}{4}x^2 \). - **Axes**: The diagram includes both x and y axes with the origin at the center of the semicircle’s base. This problem involves finding the location of the centroid \( \bar{y} \) for this specified area.
Transcribed Image Text:**Problem 9-6: Locate the centroid \( \bar{y} \) of the area.** ### Explanation of Diagram The diagram illustrates a semicircular shape defined by the equation \( y = 1 - \frac{1}{4}x^2 \). Here are the details: - **Shape Description**: The shaded area is a semicircle positioned above the x-axis. - **Dimensions**: - The total width along the x-axis is 2 meters. - The height from the x-axis to the top of the semicircle is 1 meter. - **Equation**: The curve follows the parabolic equation \( y = 1 - \frac{1}{4}x^2 \). - **Axes**: The diagram includes both x and y axes with the origin at the center of the semicircle’s base. This problem involves finding the location of the centroid \( \bar{y} \) for this specified area.
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