Locate the centroid \( \bar{y} \) of the area. (Figure 1)Express your answer to three significant figures and include the appropriate units.Input Box:- \( \bar{y} = \) - Value: [ ] - Units: [ ] Tools available in the input section include formatting options, undo/redo, and a help icon for further assistance. This image contains a graph of a parabolic curve on a coordinate plane. The equation of the curve is given as \( y = 1 - \frac{1}{4}x^2 \).### Description:- The graph displays a concave-down parabola.- The curve intersects the y-axis at \( y = 1 \). ### Dimensions:- The vertex of the parabola is at the highest point \( (0, 1) \).- The parabola extends horizontally from \(-2 \, \text{m}\) to \(2 \, \text{m}\), a total width of \(2 \, \text{m}\).- The height from the baseline (x-axis) to the vertex is \(1 \, \text{m}\).### Coordinate Axes:- The horizontal axis is labeled as the x-axis.- The vertical axis is labeled as the y-axis.### Shaded Area:- The area under the curve, above the x-axis, is shaded, indicating the bounded region which may represent a physical or mathematical quantity of interest.

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Answered: Locate the centroid y of the area.…

Locate the centroid y of the area. (Figure 1) Express your answer to three significant figures and include the appropriate units. y = 0 μᾶ Value Units ?

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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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

Locate the centroid \( \bar{y} \) of the area.
(Figure 1)

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

Input Box:
- \( \bar{y} = \)
- Value: [ ]
- Units: [ ]

Tools available in the input section include formatting options, undo/redo, and a help icon for further assistance.

This image contains a graph of a parabolic curve on a coordinate plane. The equation of the curve is given as \( y = 1 - \frac{1}{4}x^2 \).

### Description:
- The graph displays a concave-down parabola.
- The curve intersects the y-axis at \( y = 1 \).

### Dimensions:
- The vertex of the parabola is at the highest point \( (0, 1) \).
- The parabola extends horizontally from \(-2 \, \text{m}\) to \(2 \, \text{m}\), a total width of \(2 \, \text{m}\).
- The height from the baseline (x-axis) to the vertex is \(1 \, \text{m}\).

### Coordinate Axes:
- The horizontal axis is labeled as the x-axis.
- The vertical axis is labeled as the y-axis.

### Shaded Area:
- The area under the curve, above the x-axis, is shaded, indicating the bounded region which may represent a physical or mathematical quantity of interest.

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