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An L-shaped bracket is supported by a frictionless pin at A and a cable between points B and D. If pin A is the origin, point C is at (-7, 0); and pin B is at (-7, -10). The cable is attached between point B and an anchor at point D, at (-2, -14). Units are in feet. Force F acts at point C at an angle of 60° from the positive x-axis. Determine the magnitude of the moment that the force F produces about point A. Determine the tension required to hold the bracket in position.

An L-shaped bracket is supported by a frictionless pin at A and a cable between points B and D. If pin A is the origin, point C is at (-7, 0); and pin B is at (-7, -10). The cable is attached between point B and an anchor at point D, at (-2, -14). Units are in feet. Force F acts at point C at an angle of 60° from the positive x-axis. Determine the magnitude of the moment that the force F produces about point A. Determine the tension required to hold the bracket in position.

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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Answer should be Mf = 192..5 lbs and T=15.8lb
### Problem Statement: An **L-shaped bracket** is supported by a frictionless pin at point **A** and a cable between points **B** and **D**. - Point **A** is the origin. - Point **C** is at coordinates \((-7, 0)\). - Point **B** is at coordinates \((-7, -10)\). - The cable is attached between point **B** and an anchor at point **D**, which is at coordinates \((-2, -14)\). Units are in feet. A force **F** acts at point **C** at an angle of \(60^\circ\) from the positive x-axis. ### Required: 1. Determine the magnitude of the moment that the force **F** produces about point **A**. 2. Determine the tension required to hold the bracket in position. ### Explanation of Graphs/Diagrams: Imagine a coordinate system where: - Point **A** (origin) is where the L-shaped bracket is pinned. - Point **C** is directly to the left of point **A** on the horizontal axis at \((-7, 0)\). - Point **B** is directly below point **C** at \((-7, -10)\). - The cable stretches from point **B** upwards to the anchor point **D**, which is to the right of **B** at \((-2, -14)\).
Transcribed Image Text:### Problem Statement: An **L-shaped bracket** is supported by a frictionless pin at point **A** and a cable between points **B** and **D**. - Point **A** is the origin. - Point **C** is at coordinates \((-7, 0)\). - Point **B** is at coordinates \((-7, -10)\). - The cable is attached between point **B** and an anchor at point **D**, which is at coordinates \((-2, -14)\). Units are in feet. A force **F** acts at point **C** at an angle of \(60^\circ\) from the positive x-axis. ### Required: 1. Determine the magnitude of the moment that the force **F** produces about point **A**. 2. Determine the tension required to hold the bracket in position. ### Explanation of Graphs/Diagrams: Imagine a coordinate system where: - Point **A** (origin) is where the L-shaped bracket is pinned. - Point **C** is directly to the left of point **A** on the horizontal axis at \((-7, 0)\). - Point **B** is directly below point **C** at \((-7, -10)\). - The cable stretches from point **B** upwards to the anchor point **D**, which is to the right of **B** at \((-2, -14)\).
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