Solve this, Also find the tension In cord C
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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Solve this, Also find the tension In cord C
![### Problem 9.25
**Given:**
- The plate in (Figure 1) has a thickness of 0.25 ft and a specific weight \( \gamma = 180 \, \text{lb}/\text{ft}^3 \).
#### Figure
- The figure illustrates a triangular plate with vertices labeled A, B, and C.
- The vertex coordinates are not given explicitly, but the base of the plate appears to extend along the x-axis and its height along the z-axis. The vertex coordinates are approximately as follows:
- Point A: Located on the x-axis, 1.6 ft from y-axis.
- Point B: Located 1.6 ft, along the z-axis.
- Point C: Located on the x-axis, 1.6 ft from y-axis.
- Below the x-axis, the equation of the parabola \( y^2 + x^2 = 4 \) is noted.
#### Part A
- **Task:** Determine the \( \bar{x} \) location of its center of gravity.
- **Requirements:**
- Express your answer to three significant figures.
- Include the appropriate units.
\[ \bar{x} = \_\_\_\_ \, \text{Value} \, \text{Units} \]
\[ \text{Submit} \quad \text{Request Answer} \]
#### Part B
- **Task:** Determine the \( \bar{y} \) location of its center of gravity.
- **Requirements:**
- Express your answer to three significant figures.
- Include the appropriate units.
\[ \bar{y} = \_\_\_\_ \, \text{Value} \, \text{Units} \]
\[ \text{Submit} \quad \text{Request Answer} \]
(Note: The diagrams and descriptions should help visualize the problem setup and provide context for solving the geometry of the plate and calculating its center of gravity. Please ensure to apply appropriate integration techniques and principles of centroid calculation for the figure.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F304238c1-892d-4f66-90f4-8d5405bfbe58%2F70988749-df9e-4fef-851d-c7cc357c8da5%2Fi759re_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 9.25
**Given:**
- The plate in (Figure 1) has a thickness of 0.25 ft and a specific weight \( \gamma = 180 \, \text{lb}/\text{ft}^3 \).
#### Figure
- The figure illustrates a triangular plate with vertices labeled A, B, and C.
- The vertex coordinates are not given explicitly, but the base of the plate appears to extend along the x-axis and its height along the z-axis. The vertex coordinates are approximately as follows:
- Point A: Located on the x-axis, 1.6 ft from y-axis.
- Point B: Located 1.6 ft, along the z-axis.
- Point C: Located on the x-axis, 1.6 ft from y-axis.
- Below the x-axis, the equation of the parabola \( y^2 + x^2 = 4 \) is noted.
#### Part A
- **Task:** Determine the \( \bar{x} \) location of its center of gravity.
- **Requirements:**
- Express your answer to three significant figures.
- Include the appropriate units.
\[ \bar{x} = \_\_\_\_ \, \text{Value} \, \text{Units} \]
\[ \text{Submit} \quad \text{Request Answer} \]
#### Part B
- **Task:** Determine the \( \bar{y} \) location of its center of gravity.
- **Requirements:**
- Express your answer to three significant figures.
- Include the appropriate units.
\[ \bar{y} = \_\_\_\_ \, \text{Value} \, \text{Units} \]
\[ \text{Submit} \quad \text{Request Answer} \]
(Note: The diagrams and descriptions should help visualize the problem setup and provide context for solving the geometry of the plate and calculating its center of gravity. Please ensure to apply appropriate integration techniques and principles of centroid calculation for the figure.)
![**Support of a Triangular Plate**
The plate in [Figure 1] has a thickness of 0.25 ft and a specific weight of γ = 180 lb/ft³.
**Figure Explanation**
The figure illustrates a triangular plate supported by three cords labeled A, B, and C. The dimensions of the triangular plate are given along the x and y axes. Specifically, the points of support are positioned as follows:
- Support A: Located at coordinates (16 ft, 0 ft, 0 ft) along the y-axis.
- Support B: Located at coordinates (0 ft, 16 ft, 0 ft) along the z-axis.
- Support C: Positioned at coordinates (0 ft, 0 ft, 16 ft) along the x-axis.
The plate is represented as a blue triangle, and the equation of the plane given is y² + x² = 4.
**Part C**
**Question:** Find the tension in the cord \( A \) used to support it.
**Answer Box:**
\[ T_A = \]
*Express your answer to three significant figures and include the appropriate units.*
**Submission:**
- Submit button to confirm the answer.
- Request Answer option available for hints or solutions.
**Part D**
**Question:** Find the tension in the cord \( B \) used to support it.
**Answer Box:**
\[ T_B = \]
*Express your answer to three significant figures and include the appropriate units.*
**Submission:**
- Submit button to confirm the answer.
- Request Answer option available for hints or solutions.
---
This transcription is designed to appear on an educational website, providing detailed descriptions and instructions for students working on engineering mechanics problems related to static equilibrium and tension in supporting cords.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F304238c1-892d-4f66-90f4-8d5405bfbe58%2F70988749-df9e-4fef-851d-c7cc357c8da5%2F41y6vw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Support of a Triangular Plate**
The plate in [Figure 1] has a thickness of 0.25 ft and a specific weight of γ = 180 lb/ft³.
**Figure Explanation**
The figure illustrates a triangular plate supported by three cords labeled A, B, and C. The dimensions of the triangular plate are given along the x and y axes. Specifically, the points of support are positioned as follows:
- Support A: Located at coordinates (16 ft, 0 ft, 0 ft) along the y-axis.
- Support B: Located at coordinates (0 ft, 16 ft, 0 ft) along the z-axis.
- Support C: Positioned at coordinates (0 ft, 0 ft, 16 ft) along the x-axis.
The plate is represented as a blue triangle, and the equation of the plane given is y² + x² = 4.
**Part C**
**Question:** Find the tension in the cord \( A \) used to support it.
**Answer Box:**
\[ T_A = \]
*Express your answer to three significant figures and include the appropriate units.*
**Submission:**
- Submit button to confirm the answer.
- Request Answer option available for hints or solutions.
**Part D**
**Question:** Find the tension in the cord \( B \) used to support it.
**Answer Box:**
\[ T_B = \]
*Express your answer to three significant figures and include the appropriate units.*
**Submission:**
- Submit button to confirm the answer.
- Request Answer option available for hints or solutions.
---
This transcription is designed to appear on an educational website, providing detailed descriptions and instructions for students working on engineering mechanics problems related to static equilibrium and tension in supporting cords.
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