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Find the magnitude of the tension (in N) in each supporting cable shown below. In each case, the weight of the suspended body is 170.0 N and the masses of the cables are negligible. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) 45° T2 T3 T, = N T = T3 = (b) 60° 60° T2

Find the magnitude of the tension (in N) in each supporting cable shown below. In each case, the weight of the suspended body is 170.0 N and the masses of the cables are negligible. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) (a) 45° T2 T3 T, = N T = T3 = (b) 60° 60° T2

College Physics
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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The image illustrates a system of tension forces in a suspended mass scenario. ### Diagram Explanation The diagram shows a mass hanging from a system of strings with four tension forces: - **\( T_1 \) and \( T_2 \)**: These tensions are in strings making an angle of 45° with the horizontal beam. - **\( T_3 \)**: This tension is in a string making an angle of 60° with both \( T_1 \) and \( T_2 \). - **\( T_4 \)**: This tension is supporting the weight directly downward. ### Tension Values and Evaluation Below the diagram is a table listing the tensions and indicating whether their values are correct or not: - \( T_1 = 170 \, \text{N} \) (Incorrect) - \( T_2 = 98.15 \, \text{N} \) (Incorrect) - \( T_3 = 98.15 \, \text{N} \) (Correct) - \( T_4 = 170 \, \text{N} \) (Correct)
Transcribed Image Text:The image illustrates a system of tension forces in a suspended mass scenario. ### Diagram Explanation The diagram shows a mass hanging from a system of strings with four tension forces: - **\( T_1 \) and \( T_2 \)**: These tensions are in strings making an angle of 45° with the horizontal beam. - **\( T_3 \)**: This tension is in a string making an angle of 60° with both \( T_1 \) and \( T_2 \). - **\( T_4 \)**: This tension is supporting the weight directly downward. ### Tension Values and Evaluation Below the diagram is a table listing the tensions and indicating whether their values are correct or not: - \( T_1 = 170 \, \text{N} \) (Incorrect) - \( T_2 = 98.15 \, \text{N} \) (Incorrect) - \( T_3 = 98.15 \, \text{N} \) (Correct) - \( T_4 = 170 \, \text{N} \) (Correct)
**Problem: Tension in Cables** Find the magnitude of the tension (in N) in each supporting cable shown below. In each case, the weight of the suspended body is **170.0 N** and the masses of the cables are negligible. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) **Diagram (a):** - A system with three cables. - **T₁**: Inclined at 45° to the horizontal ceiling. - **T₂**: Horizontal. - **T₃**: Vertical, supporting the weight directly downward. Equations to find tensions: - T₁ and T₂ contribute to balancing the horizontal components. - T₃ balances the vertical weight of 170.0 N. **Tension values to find:** - \( T_1 = \) ____ N - \( T_2 = \) ____ N - \( T_3 = \) ____ N **Diagram (b):** - A system with two cables, both symmetrical. - Both **T₁** and **T₂** are inclined at 60° to the horizontal, supporting the weight symmetrically. Equations to find tensions: - These cables jointly hold the weight, with their vertical components summing to 170.0 N. **Tension values to find:** - \( T_1 = \) ____ N - \( T_2 = \) ____ N Use these diagrams and descriptions to understand how tension in cables works in different configurations and apply relevant physics equations to solve for the unknowns.
Transcribed Image Text:**Problem: Tension in Cables** Find the magnitude of the tension (in N) in each supporting cable shown below. In each case, the weight of the suspended body is **170.0 N** and the masses of the cables are negligible. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) **Diagram (a):** - A system with three cables. - **T₁**: Inclined at 45° to the horizontal ceiling. - **T₂**: Horizontal. - **T₃**: Vertical, supporting the weight directly downward. Equations to find tensions: - T₁ and T₂ contribute to balancing the horizontal components. - T₃ balances the vertical weight of 170.0 N. **Tension values to find:** - \( T_1 = \) ____ N - \( T_2 = \) ____ N - \( T_3 = \) ____ N **Diagram (b):** - A system with two cables, both symmetrical. - Both **T₁** and **T₂** are inclined at 60° to the horizontal, supporting the weight symmetrically. Equations to find tensions: - These cables jointly hold the weight, with their vertical components summing to 170.0 N. **Tension values to find:** - \( T_1 = \) ____ N - \( T_2 = \) ____ N Use these diagrams and descriptions to understand how tension in cables works in different configurations and apply relevant physics equations to solve for the unknowns.
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