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If F = 600 N , determine the tension developed in cables AB, AC, and AD. (Figure 1) Figure O 1 of 1 D 2 m 1 m -y 30° 2 m F

If F = 600 N , determine the tension developed in cables AB, AC, and AD. (Figure 1) Figure O 1 of 1 D 2 m 1 m -y 30° 2 m F

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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### Problem Statement **Objective:** If \( F = 600 \, \text{N} \), determine the tension developed in cables \( AB \), \( AC \), and \( AD \). ### Diagram Description - The diagram illustrates a three-dimensional coordinate system with a point \( A \). - Cables \( AB \), \( AC \), and \( AD \) are connected to point \( A \). - The coordinates and arrangement are as follows: - Cable \( AB \) forms a 30° angle with the negative x-axis in the xy-plane. - Cable \( AD \) is positioned 2 meters above \( A \) along the z-axis. - Cable \( AC \) aligns directly along the y-axis from \( A \). - Dimensions: - Distance along the x-axis from \( A \) to line \( AB \) is 2 meters. - Distance along the y-axis from \( A \) to \( C \) is 2 meters. - Height above \( A \) to \( D \) is 2 meters. ### Interactive Exercise **Part A:** Determine the tension developed in cable \( AB \). - **Input Field:** - Enter your answer in the form \( F_{AB} = \) with three significant figures and appropriate units. **Part B:** Determine the tension developed in cable \( AC \). - **Input Field:** - Enter your answer in the form \( F_{AC} = \) with three significant figures and appropriate units. For both parts, after entering your answer, click "Submit" to verify. **Tools Available:** - Significant figures and unit formatting. - Requesting hints if needed. Explore the effects of force distribution and calculate the correct tension in the cables.
Transcribed Image Text:### Problem Statement **Objective:** If \( F = 600 \, \text{N} \), determine the tension developed in cables \( AB \), \( AC \), and \( AD \). ### Diagram Description - The diagram illustrates a three-dimensional coordinate system with a point \( A \). - Cables \( AB \), \( AC \), and \( AD \) are connected to point \( A \). - The coordinates and arrangement are as follows: - Cable \( AB \) forms a 30° angle with the negative x-axis in the xy-plane. - Cable \( AD \) is positioned 2 meters above \( A \) along the z-axis. - Cable \( AC \) aligns directly along the y-axis from \( A \). - Dimensions: - Distance along the x-axis from \( A \) to line \( AB \) is 2 meters. - Distance along the y-axis from \( A \) to \( C \) is 2 meters. - Height above \( A \) to \( D \) is 2 meters. ### Interactive Exercise **Part A:** Determine the tension developed in cable \( AB \). - **Input Field:** - Enter your answer in the form \( F_{AB} = \) with three significant figures and appropriate units. **Part B:** Determine the tension developed in cable \( AC \). - **Input Field:** - Enter your answer in the form \( F_{AC} = \) with three significant figures and appropriate units. For both parts, after entering your answer, click "Submit" to verify. **Tools Available:** - Significant figures and unit formatting. - Requesting hints if needed. Explore the effects of force distribution and calculate the correct tension in the cables.
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