### Text Transcription:**Problem Statement:**Block \( A \) is held in equilibrium when force \( F = 140 \, \text{lbf} \) is applied. Each cable is made out of 5-0s gauge B & S Non Ferrous Metals wire. Determine the normal stress in each cable and the mass of block \( A \). You may assume the cables and pulleys have negligible mass.### Diagram Description:The diagram depicts a pulley system used to balance block \( A \) with an applied force \( F \) of 140 lbf. The setup includes multiple pulleys labeled \( B \), \( C \), \( D \), and \( E \). The block \( A \) is connected through these pulleys, which guide cables from the fixed support above to the block below. The force \( F \) is shown acting downward on pulley \( E \), which is connected to the cables. The cables and pulleys are assumed to have negligible mass.### Explanation:This system illustrates how applied forces can be distributed across pulleys to achieve equilibrium. The objective is to calculate the normal stress in each of the cables and determine the mass of block \( A \) given the applied force.This problem involves understanding mechanical equilibrium, the properties of materials (Non-Ferrous Metals wire), and applying principles of physics to analyze the forces in each section of the cable system. The image displays a table with stress values and a mass value, accompanied by units and verification indicators for each value. The details are as follows:1. \( \sigma_{AB} = 43.098 \, \text{ksi} \) - Verification: Incorrect (0%)2. \( \sigma_{BC} = 21.549 \, \text{ksi} \) - Verification: Incorrect (0%)3. \( \sigma_{CD} = 10.775 \, \text{ksi} \) - Verification: Incorrect (0%)4. \( \sigma_{DE} = 5.387 \, \text{ksi} \) - Verification: Incorrect (0%)5. \( m_A = 34.82 \, \text{slugs} \) - Verification: Correct (100%)No graphs or diagrams are present in the image. The table provides values for stress (\( \sigma \)) in kilopounds per square inch (ksi) and a mass (\( m_A \)) in slugs, with corresponding correctness indicators.

Answered: Image /qna-images/answer/bb8dfce3-a729-4df2-b8fb-eb810b818e43.jpg

Block A is held in equilibrium when force F = 140 lbf is applied. Each cable is made out of 5-0s gage B & S Non Ferrous Metals wire. Determine the normal stress in each cable and the mass of block A. You may assume the cables and pulleys have negligible mass. B A E F

Block A is held in equilibrium when force F = 140 lbf is applied. Each cable is made out of 5-0s gage B & S Non Ferrous Metals wire. Determine the normal stress in each cable and the mass of block A. You may assume the cables and pulleys have negligible mass. B A E F

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

### Text Transcription:

**Problem Statement:**

Block \( A \) is held in equilibrium when force \( F = 140 \, \text{lbf} \) is applied. Each cable is made out of 5-0s gauge B & S Non Ferrous Metals wire. Determine the normal stress in each cable and the mass of block \( A \). You may assume the cables and pulleys have negligible mass.

### Diagram Description:

The diagram depicts a pulley system used to balance block \( A \) with an applied force \( F \) of 140 lbf. The setup includes multiple pulleys labeled \( B \), \( C \), \( D \), and \( E \). The block \( A \) is connected through these pulleys, which guide cables from the fixed support above to the block below. The force \( F \) is shown acting downward on pulley \( E \), which is connected to the cables. The cables and pulleys are assumed to have negligible mass.

### Explanation:

This system illustrates how applied forces can be distributed across pulleys to achieve equilibrium. The objective is to calculate the normal stress in each of the cables and determine the mass of block \( A \) given the applied force.

This problem involves understanding mechanical equilibrium, the properties of materials (Non-Ferrous Metals wire), and applying principles of physics to analyze the forces in each section of the cable system.

The image displays a table with stress values and a mass value, accompanied by units and verification indicators for each value. The details are as follows:

1. \( \sigma_{AB} = 43.098 \, \text{ksi} \)
- Verification: Incorrect (0%)

2. \( \sigma_{BC} = 21.549 \, \text{ksi} \)
- Verification: Incorrect (0%)

3. \( \sigma_{CD} = 10.775 \, \text{ksi} \)
- Verification: Incorrect (0%)

4. \( \sigma_{DE} = 5.387 \, \text{ksi} \)
- Verification: Incorrect (0%)

5. \( m_A = 34.82 \, \text{slugs} \)
- Verification: Correct (100%)

No graphs or diagrams are present in the image. The table provides values for stress (\( \sigma \)) in kilopounds per square inch (ksi) and a mass (\( m_A \)) in slugs, with corresponding correctness indicators.

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