In (Figure 1), take a = 2 m. Figure ay I y 1 of 1> Part A Locate the centroid y of the paraboloid. Express your answer to three significant figures and include the appropriate unit CO μA ? y = Value Units Submit Provide Feedback Request Answer

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Locating the Centroid of a Paraboloid

#### Instructions:
In Figure 1, take \( a = 2 \, m \).

##### Part A
Locate the centroid \( \bar{y} \) of the paraboloid. 

Express your answer to three significant figures and include the appropriate units.

#### Input Fields:
\[
\bar{y} = \quad \text{Value} \quad \text{Units}
\]

\- Submit \- Request Answer

---

#### Figure 1
![Figure of a Paraboloid](https://example.com/figure1.jpg): Depiction of a Paraboloid

---
##### Diagram Explanation:
The figure displays a three-dimensional paraboloid with its axis aligned along the z-axis. The equation of the paraboloid is given by:

\[
z^2 = a y
\]

where \( a = 2 \, m \).

- **x-axis**: The horizontal axis in the plane of the base of the paraboloid.
- **y-axis**: Extends from the center of the base and is horizontal.
- **z-axis**: Extending vertically from the vertex of the paraboloid.

The distance \( a \) is shown on the figure, indicating the relation between variables in the equation.

#### Additional Resources:
For additional assistance, refer to the provided materials or contact your instructor.

---

*Provide Feedback*

---
Transcribed Image Text:--- ### Locating the Centroid of a Paraboloid #### Instructions: In Figure 1, take \( a = 2 \, m \). ##### Part A Locate the centroid \( \bar{y} \) of the paraboloid. Express your answer to three significant figures and include the appropriate units. #### Input Fields: \[ \bar{y} = \quad \text{Value} \quad \text{Units} \] \- Submit \- Request Answer --- #### Figure 1 ![Figure of a Paraboloid](https://example.com/figure1.jpg): Depiction of a Paraboloid --- ##### Diagram Explanation: The figure displays a three-dimensional paraboloid with its axis aligned along the z-axis. The equation of the paraboloid is given by: \[ z^2 = a y \] where \( a = 2 \, m \). - **x-axis**: The horizontal axis in the plane of the base of the paraboloid. - **y-axis**: Extends from the center of the base and is horizontal. - **z-axis**: Extending vertically from the vertex of the paraboloid. The distance \( a \) is shown on the figure, indicating the relation between variables in the equation. #### Additional Resources: For additional assistance, refer to the provided materials or contact your instructor. --- *Provide Feedback* ---
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