1 This loudspeaker has a weight of 70 Newtons and is being held up by two cables. Both cables are at an angle of 25 degrees. This means that they both have the same tension, T. What is the vertical component of the tension in each cable? Ty = 35 unit N What is the horizontal component of the tension in each cable? Tx unit N = 75.057 What is the total tension in each cable? T = unit N %3D
1 This loudspeaker has a weight of 70 Newtons and is being held up by two cables. Both cables are at an angle of 25 degrees. This means that they both have the same tension, T. What is the vertical component of the tension in each cable? Ty = 35 unit N What is the horizontal component of the tension in each cable? Tx unit N = 75.057 What is the total tension in each cable? T = unit N %3D
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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What is T?
![## Transcription and Explanation for Educational Website
### Diagram Explanation:
The diagram shows a loudspeaker being suspended by two cables. The cables are attached to a surface and form an angle \( \theta = 25^\circ \) with the vertical. The loudspeaker is labeled with a weight (\( W \)) of 70 Newtons. Each cable carries the same tension, denoted as \( T \).
### Text Explanation:
This loudspeaker has a weight of 70 Newtons and is being held up by two cables. Both cables are at an angle of 25 degrees. This means that they both have the same tension, \( T \).
#### Questions and Answers:
1. **What is the vertical component of the tension in each cable?**
\( T_y = 35 \, \text{N} \)
2. **What is the horizontal component of the tension in each cable?**
\( T_x = 75.057 \, \text{N} \)
3. **What is the total tension in each cable?**
\( T = \) [Input required]
### Calculation Insights:
- To find the vertical component (\( T_y \)), the weight is divided equally between the two cables. Since the total weight is 70 Newtons, each cable supports 35 Newtons vertically.
- The horizontal component (\( T_x \)) is calculated using trigonometric functions, considering the angle of 25 degrees.
- The total tension (\( T \)) needs further calculation using Pythagorean identity: \( T = \sqrt{T_x^2 + T_y^2} \), taking into account both components.
This example illustrates the fundamental physics principle of tension in cables, which involves breaking down forces into their components and using trigonometry to solve for unknown quantities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18608e9e-bffe-4b38-84b4-3b337a037743%2Fbe6698b8-56df-40f8-866e-e74dccd1378f%2Fzexi8to_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Transcription and Explanation for Educational Website
### Diagram Explanation:
The diagram shows a loudspeaker being suspended by two cables. The cables are attached to a surface and form an angle \( \theta = 25^\circ \) with the vertical. The loudspeaker is labeled with a weight (\( W \)) of 70 Newtons. Each cable carries the same tension, denoted as \( T \).
### Text Explanation:
This loudspeaker has a weight of 70 Newtons and is being held up by two cables. Both cables are at an angle of 25 degrees. This means that they both have the same tension, \( T \).
#### Questions and Answers:
1. **What is the vertical component of the tension in each cable?**
\( T_y = 35 \, \text{N} \)
2. **What is the horizontal component of the tension in each cable?**
\( T_x = 75.057 \, \text{N} \)
3. **What is the total tension in each cable?**
\( T = \) [Input required]
### Calculation Insights:
- To find the vertical component (\( T_y \)), the weight is divided equally between the two cables. Since the total weight is 70 Newtons, each cable supports 35 Newtons vertically.
- The horizontal component (\( T_x \)) is calculated using trigonometric functions, considering the angle of 25 degrees.
- The total tension (\( T \)) needs further calculation using Pythagorean identity: \( T = \sqrt{T_x^2 + T_y^2} \), taking into account both components.
This example illustrates the fundamental physics principle of tension in cables, which involves breaking down forces into their components and using trigonometry to solve for unknown quantities.
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