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4.12 Calculate the force in cable AB and the angle 0 for the su port system shown. A 0 B W F = 100 lb 200 lb

4.12 Calculate the force in cable AB and the angle 0 for the su port system shown. A 0 B W F = 100 lb 200 lb

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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Calcualte the force in Cable AB and the angle foe the support system shown

# Problem 4.12 **Objective:** Calculate the force in cable \( AB \) and the angle \( \theta \) for the support system shown. **Description:** The diagram depicts a mechanical system where a weight \( W = 200 \) lb is suspended by a cable connected to point \( B \). The cable forms an angle \( \theta \) with the horizontal support at point \( A \). Additionally, there is a horizontal force \( F = 100 \) lb acting on point \( B \). **Diagram Explanation:** - **Points:** - \( A \) is the point where the cable is attached to the horizontal support. - \( B \) is the point from which the weight \( W \) hangs and where the horizontal force \( F \) is applied. - **Forces:** - \( W = 200 \) lb is the weight acting vertically downward. - \( F = 100 \) lb is the force acting horizontally to the right. - **Cable:** - Cable \( AB \) forms an angle \( \theta \) with the horizontal support. The goal is to determine both the tension in cable \( AB \) and the angle \( \theta \) using the principles of static equilibrium.
Transcribed Image Text:# Problem 4.12 **Objective:** Calculate the force in cable \( AB \) and the angle \( \theta \) for the support system shown. **Description:** The diagram depicts a mechanical system where a weight \( W = 200 \) lb is suspended by a cable connected to point \( B \). The cable forms an angle \( \theta \) with the horizontal support at point \( A \). Additionally, there is a horizontal force \( F = 100 \) lb acting on point \( B \). **Diagram Explanation:** - **Points:** - \( A \) is the point where the cable is attached to the horizontal support. - \( B \) is the point from which the weight \( W \) hangs and where the horizontal force \( F \) is applied. - **Forces:** - \( W = 200 \) lb is the weight acting vertically downward. - \( F = 100 \) lb is the force acting horizontally to the right. - **Cable:** - Cable \( AB \) forms an angle \( \theta \) with the horizontal support. The goal is to determine both the tension in cable \( AB \) and the angle \( \theta \) using the principles of static equilibrium.
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