6. ### Problem StatementCable \( BAC \) passes through a frictionless ring \( A \) and is attached to fixed supports at \( B \) and \( C \), while cables \( AD \) and \( AE \) are both tied to the ring and are attached, respectively, to supports at \( D \) and \( E \). A 240-lb vertical load \( P \) is applied to ring \( A \).### Diagram ExplanationThe diagram shows a 3D coordinate system with the following details:- Points \( B \), \( C \), \( D \), \( E \), and \( A \) are labeled, with cable attachments shown at each point.- The coordinates are marked as \( x \), \( y \), and \( z \) axes.- The dimensions from point \( O \) are given as: - \( 17.5 \) inches along the \( y \)-axis. - \( 45 \) inches along the \( y \)-axis to point \( E \). - \( 25 \) inches from \( B \) along the \( x \)-axis. - \( 60 \) inches from \( D \) along the \( x \)-axis. - \( 80 \) inches vertically along the \( z \)-axis from \( A \) to point \( P \).- The load \( P \) is shown as a downward force with a magnitude of 240 lb.### TaskDetermine the tension in each of the three cables.- The tension in cable \( BAC \) is ______ lb.- The tension in cable \( AD \) is ______ lb.- The tension in cable \( AE \) is ______ lb.

Answered: Image /qna-images/answer/246e8b8e-baf1-4a14-bf82-fe2f8ba2e6c2.jpg

Cable BAC passes through a frictionless ring A and is attached to fixed supports at Band C, while cables AD and AE are both tied to the ring and are attached, respectively, to supports at D and E. Know that a 240-lb vertical load P is applied to ring A.

Cable BAC passes through a frictionless ring A and is attached to fixed supports at Band C, while cables AD and AE are both tied to the ring and are attached, respectively, to supports at D and E. Know that a 240-lb vertical load P is applied to ring A.

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

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

### Problem Statement

Cable \( BAC \) passes through a frictionless ring \( A \) and is attached to fixed supports at \( B \) and \( C \), while cables \( AD \) and \( AE \) are both tied to the ring and are attached, respectively, to supports at \( D \) and \( E \). A 240-lb vertical load \( P \) is applied to ring \( A \).

### Diagram Explanation

The diagram shows a 3D coordinate system with the following details:

- Points \( B \), \( C \), \( D \), \( E \), and \( A \) are labeled, with cable attachments shown at each point.
- The coordinates are marked as \( x \), \( y \), and \( z \) axes.
- The dimensions from point \( O \) are given as:
- \( 17.5 \) inches along the \( y \)-axis.
- \( 45 \) inches along the \( y \)-axis to point \( E \).
- \( 25 \) inches from \( B \) along the \( x \)-axis.
- \( 60 \) inches from \( D \) along the \( x \)-axis.
- \( 80 \) inches vertically along the \( z \)-axis from \( A \) to point \( P \).
- The load \( P \) is shown as a downward force with a magnitude of 240 lb.

### Task

Determine the tension in each of the three cables.

- The tension in cable \( BAC \) is ______ lb.
- The tension in cable \( AD \) is ______ lb.
- The tension in cable \( AE \) is ______ lb.

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