2. Follow the steps to determine the centroid of the area shown. a. Estimate the coordinates of the centroid. (X,Y)= ( b. Divide the area into composite parts. Is it possible to represent the area with only two composite parts? c. Complete the rows for composite parts 1 and 2 in the table provided. Use the origin as your reference point. y -150 mm -150 mm 150 mm 150 mm
2. Follow the steps to determine the centroid of the area shown. a. Estimate the coordinates of the centroid. (X,Y)= ( b. Divide the area into composite parts. Is it possible to represent the area with only two composite parts? c. Complete the rows for composite parts 1 and 2 in the table provided. Use the origin as your reference point. y -150 mm -150 mm 150 mm 150 mm
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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![### Determining the Centroid of a Composite Area
#### 2. Follow the steps to determine the centroid of the area shown.
#### a. Estimate the coordinates of the centroid.
\[
(\bar{X}, \bar{Y}) = (\underline{\quad \quad \quad \quad}, \underline{\quad \quad \quad \quad \quad})
\]
#### b. Divide the area into composite parts. Is it possible to represent the area with only two composite parts?
#### c. Complete the rows for composite parts 1 and 2 in the table provided. Use the origin as your reference point.
---
### Explanation of the Diagram
The diagram provided is a geometric shape divided into two sections:
1. **Rectangle**: The rectangle is at the base, measuring 150 mm in height and 300 mm in width.
2. **Trapezoid**: Above the rectangle, there is a trapezoid whose bases measure 150 mm (top and bottom), with a height of 150 mm. The two bases are parallel, and the non-parallel sides incline upwards to make the top.
The x- and y-axes serve as references, with the origin (0,0) positioned at the bottom-left corner of the figure. The total height of the figure is 300 mm (150 mm for the rectangle and 150 mm for the trapezoid).
This diagram is essential for visualizing and dividing the area into simpler shapes to calculate the centroid accurately. Use this visual representation alongside your calculations for finding the centroids of individual shapes and then the composite centroid for the given area.
#### Steps Summary:
1. **Estimate** the centroid coordinates.
2. **Divide** the area into simpler shapes and confirm if two parts suffice.
3. **Complete** the rows in the table provided using the origin as a reference.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc59a6d07-a993-40f7-b57e-cdb2ad079d78%2Fded6b72e-1b29-4a8d-893c-f42eff227c2e%2Focy2qds_processed.png&w=3840&q=75)
Transcribed Image Text:### Determining the Centroid of a Composite Area
#### 2. Follow the steps to determine the centroid of the area shown.
#### a. Estimate the coordinates of the centroid.
\[
(\bar{X}, \bar{Y}) = (\underline{\quad \quad \quad \quad}, \underline{\quad \quad \quad \quad \quad})
\]
#### b. Divide the area into composite parts. Is it possible to represent the area with only two composite parts?
#### c. Complete the rows for composite parts 1 and 2 in the table provided. Use the origin as your reference point.
---
### Explanation of the Diagram
The diagram provided is a geometric shape divided into two sections:
1. **Rectangle**: The rectangle is at the base, measuring 150 mm in height and 300 mm in width.
2. **Trapezoid**: Above the rectangle, there is a trapezoid whose bases measure 150 mm (top and bottom), with a height of 150 mm. The two bases are parallel, and the non-parallel sides incline upwards to make the top.
The x- and y-axes serve as references, with the origin (0,0) positioned at the bottom-left corner of the figure. The total height of the figure is 300 mm (150 mm for the rectangle and 150 mm for the trapezoid).
This diagram is essential for visualizing and dividing the area into simpler shapes to calculate the centroid accurately. Use this visual representation alongside your calculations for finding the centroids of individual shapes and then the composite centroid for the given area.
#### Steps Summary:
1. **Estimate** the centroid coordinates.
2. **Divide** the area into simpler shapes and confirm if two parts suffice.
3. **Complete** the rows in the table provided using the origin as a reference.
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