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(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

(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
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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### 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.
Transcribed Image Text:### 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.
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Draw free body diagram of system

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

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