NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The 6-m long pole ABC is acted upon by a 545-N force as shown in the figure. The pole is held by'a ball-and-sc at A and by two cables BD and BE. F 1.5 m> P E B 3 m N. 3m 3 m 1.5 m 3 m x or a = 1.5 m, determine the tension in each cable and the reaction at A. e tension in cable BD is cable Dis

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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### Required Information

**NOTE:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.

The 6-m long pole \( ABC \) is acted upon by a 545-N force as shown in the figure. The pole is held by a ball-and-socket joint at \( A \) and by two cables \( BD \) and \( BE \).

#### Diagram Explanation

The image shows a three-dimensional setup:

- Pole \( ABC \) is vertical with \( AB = 3 \) m and \( BC = 3 \) m, totaling 6 m in length.
- Point \( A \) is on the ground at one end of the pole, where it is connected by a ball-and-socket joint.
- Cables \( BD \) and \( BE \) are anchored at points \( D \) and \( E \) respectively, both on the ground.
- Point \( D \): 1.5 m from \( A \) along the x-axis.
- Point \( E \): 3 m along the x-axis and 1.5 m along the z-axis from \( A \).

#### Task

For \( a = 1.5 \) m, determine the tension in each cable and the reaction at \( A \).

- **The tension in cable \( BD \) is:** ____ N.
- **The tension in cable \( BE \) is:** ____ N.
- **The reaction at \( A \) is:** \( (\, \underline{\phantom{000}} \, \text{N} \, ) \mathbf{i} + (\, \underline{\phantom{000}} \, \text{N} \, ) \mathbf{j} + (\, \underline{\phantom{000}} \, \text{N} \, ) \mathbf{k} \).
Transcribed Image Text:### Required Information **NOTE:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The 6-m long pole \( ABC \) is acted upon by a 545-N force as shown in the figure. The pole is held by a ball-and-socket joint at \( A \) and by two cables \( BD \) and \( BE \). #### Diagram Explanation The image shows a three-dimensional setup: - Pole \( ABC \) is vertical with \( AB = 3 \) m and \( BC = 3 \) m, totaling 6 m in length. - Point \( A \) is on the ground at one end of the pole, where it is connected by a ball-and-socket joint. - Cables \( BD \) and \( BE \) are anchored at points \( D \) and \( E \) respectively, both on the ground. - Point \( D \): 1.5 m from \( A \) along the x-axis. - Point \( E \): 3 m along the x-axis and 1.5 m along the z-axis from \( A \). #### Task For \( a = 1.5 \) m, determine the tension in each cable and the reaction at \( A \). - **The tension in cable \( BD \) is:** ____ N. - **The tension in cable \( BE \) is:** ____ N. - **The reaction at \( A \) is:** \( (\, \underline{\phantom{000}} \, \text{N} \, ) \mathbf{i} + (\, \underline{\phantom{000}} \, \text{N} \, ) \mathbf{j} + (\, \underline{\phantom{000}} \, \text{N} \, ) \mathbf{k} \).
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