Knowing that the tension in cable AC is 300 lb, determine the smallest angle between cable AC and the boom AB. The smallest angle is?

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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Knowing that the tension in cable AC is 300 lb, determine the smallest angle between cable AC and the boom AB.

The smallest angle is?

In the diagram:

- The figure depicts a three-dimensional coordinate system with axes labeled \(x\), \(y\), and \(z\). Several points and cables are marked, illustrating a mechanical setup.
  
- Point \(A\) is located at the intersection of cables and receives a force denoted by \(P\), which acts vertically downward along the \(z\)-axis.

- The structure includes three anchoring points on the grid: 
  - Point \(B\), positioned 6.5 feet along the \(z\)-axis and 6 feet along the \(x\)-axis.
  - Point \(C\), located 6.5 feet along the \(z\)-axis and 3 feet along the \(y\)-axis.
  - Point \(D\), at 6 feet along the \(y\)-axis and 7.5 feet along the \(z\)-axis.

- Cable segments connect to point \(A\) from points \(B\), \(C\), and \(D\).

- The distance from point \(A\) to the \(x\)-axis is 4.5 feet.

This setup likely illustrates the tension distribution in cables when a force is applied at point \(A\).
Transcribed Image Text:In the diagram: - The figure depicts a three-dimensional coordinate system with axes labeled \(x\), \(y\), and \(z\). Several points and cables are marked, illustrating a mechanical setup. - Point \(A\) is located at the intersection of cables and receives a force denoted by \(P\), which acts vertically downward along the \(z\)-axis. - The structure includes three anchoring points on the grid: - Point \(B\), positioned 6.5 feet along the \(z\)-axis and 6 feet along the \(x\)-axis. - Point \(C\), located 6.5 feet along the \(z\)-axis and 3 feet along the \(y\)-axis. - Point \(D\), at 6 feet along the \(y\)-axis and 7.5 feet along the \(z\)-axis. - Cable segments connect to point \(A\) from points \(B\), \(C\), and \(D\). - The distance from point \(A\) to the \(x\)-axis is 4.5 feet. This setup likely illustrates the tension distribution in cables when a force is applied at point \(A\).
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