### Problem Statement:#### Given:- A bent rod ABC is connected with a cord BC, forming a structure.- The rod has segments with the following lengths: - AB = 10 inches - BC = 20 inches - CD is not defined by length but is part of the connection. - DA = 8 inches, completing the structure. - Vertical segment DE = 6 inches long, supporting a load.- A load of 65 lb is acting downward at a 30-degree angle at point E.- Cord BC makes a 45-degree angle with the rod at both junctions B and C.#### Task:Find the following:1. **Tension in Cord BC**2. **Reaction at Pin A** (both magnitude and direction)*Neglect the weight of the rod.*### Diagram Explanation:- The rod is bent at multiple points to form a structure with segments.- The point A is anchored, while B and C are connected by a cord.- The cord is under tension and makes a specific angle with segments where it connects.- The load applied at the end of the segment (point E) influences the tensions and forces acting throughout the structure.### Analysis Approach:To solve the problem, consider static equilibrium principles:- Sum of all vertical and horizontal forces should equal zero.- Sum of moments about any point should equal zero.**Note:**- Calculate forces and moments considering given angles, lengths, and applied load.- Use trigonometry and equilibrium equations to find the unknowns.

Answered: (1) 130 10 in 65 16 cord B 45 45 Zo in…

(1) 130 10 in 65 16 cord B 45 45 Zo in For the bent rod and load shown, (a) the tension in cord Be (b) the reaction at pin A (mag and direc) (Neglect the weight of the rod.) find : 8 in 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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Question

### Problem Statement:

#### Given:

- A bent rod ABC is connected with a cord BC, forming a structure.
- The rod has segments with the following lengths:
- AB = 10 inches
- BC = 20 inches
- CD is not defined by length but is part of the connection.
- DA = 8 inches, completing the structure.
- Vertical segment DE = 6 inches long, supporting a load.
- A load of 65 lb is acting downward at a 30-degree angle at point E.
- Cord BC makes a 45-degree angle with the rod at both junctions B and C.

#### Task:

Find the following:

1. **Tension in Cord BC**
2. **Reaction at Pin A** (both magnitude and direction)

*Neglect the weight of the rod.*

### Diagram Explanation:

- The rod is bent at multiple points to form a structure with segments.
- The point A is anchored, while B and C are connected by a cord.
- The cord is under tension and makes a specific angle with segments where it connects.
- The load applied at the end of the segment (point E) influences the tensions and forces acting throughout the structure.

### Analysis Approach:

To solve the problem, consider static equilibrium principles:
- Sum of all vertical and horizontal forces should equal zero.
- Sum of moments about any point should equal zero.

**Note:**
- Calculate forces and moments considering given angles, lengths, and applied load.
- Use trigonometry and equilibrium equations to find the unknowns.

Expert Solution

Step 1

Draw free body diagram of system

Find the tension in BC and reaction at A and direction.

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