Consider the channel shown in (Figure 1). Suppose that a = 390 mm, b = 260 mm, c = 50 mm.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Determine the location y¯y¯ of the centroid of the channel's cross-sectional area.

Determine the moment of inertia of the area about this axis.

### Transcription for Educational Website

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**Consider the channel shown in (Figure 1). Suppose that \( a = 390 \, \text{mm}, \, b = 260 \, \text{mm}, \, c = 50 \, \text{mm} \).**

---

#### Figure Description

The diagram illustrates a U-shaped channel with the following labeled dimensions:

- **\( a \):** The horizontal length of the bottom part of the channel, which measures 390 mm.
- **\( b \):** The vertical height of the channel, measuring 260 mm.
- **\( c \):** The thickness of the channel walls and bottom, measuring 50 mm.

**Axes:**

- The horizontal axis is labeled as \( x \).
- The vertical axis is labeled as \( \bar{y} \).

This setup represents a typical channel section that can be analyzed for various engineering and architectural applications, such as fluid flow, stress analysis, and structural design.
Transcribed Image Text:### Transcription for Educational Website --- **Consider the channel shown in (Figure 1). Suppose that \( a = 390 \, \text{mm}, \, b = 260 \, \text{mm}, \, c = 50 \, \text{mm} \).** --- #### Figure Description The diagram illustrates a U-shaped channel with the following labeled dimensions: - **\( a \):** The horizontal length of the bottom part of the channel, which measures 390 mm. - **\( b \):** The vertical height of the channel, measuring 260 mm. - **\( c \):** The thickness of the channel walls and bottom, measuring 50 mm. **Axes:** - The horizontal axis is labeled as \( x \). - The vertical axis is labeled as \( \bar{y} \). This setup represents a typical channel section that can be analyzed for various engineering and architectural applications, such as fluid flow, stress analysis, and structural design.
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