9-27. Locate the centroid y of the area. Probs. 9-26/27 4 ft y y = 1 4 ft x² G Ø X

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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9–27. Locate the centroid 
 
y¯ of the area.

### Problem 9-27: Determine the Centroid of the Area

**Objective:**
Locate the centroid \( \bar{y} \) of the shaded area.

**Diagram Description:**

- The diagram is a graph with an \( x \)-axis and a \( y \)-axis.
- A parabolic curve is shown, defined by the equation \( y = \frac{1}{4} x^2 \).
- The area of interest is the region bounded by the parabola, the vertical line \( x = 4 \) ft, and the horizontal line at the \( x \)-axis, extending up to the point where the parabola meets \( x = 4 \).
- The total extent in both the \( x \) and \( y \) directions is 4 feet.

**Note:**
The shaded area is the region of which the centroid needs to be determined.
Transcribed Image Text:### Problem 9-27: Determine the Centroid of the Area **Objective:** Locate the centroid \( \bar{y} \) of the shaded area. **Diagram Description:** - The diagram is a graph with an \( x \)-axis and a \( y \)-axis. - A parabolic curve is shown, defined by the equation \( y = \frac{1}{4} x^2 \). - The area of interest is the region bounded by the parabola, the vertical line \( x = 4 \) ft, and the horizontal line at the \( x \)-axis, extending up to the point where the parabola meets \( x = 4 \). - The total extent in both the \( x \) and \( y \) directions is 4 feet. **Note:** The shaded area is the region of which the centroid needs to be determined.
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