Problem 2: 2D Equilibrium ( 30 % ) A weight of 100 lb is supported by two ropes as shown. Calculate the tension in each rope needed to keep the weight in this equilibrium position. 50 750 FBD TCA = TCB If the breaking tension of each rope cord is 120 lb, will the cords support the system as shown? Explain why or why not. Explain O Yes they will hold O No, something will break C.

Elements Of Electromagnetics
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**Problem 2: 2D Equilibrium (30%)**

A weight of 100 lb is supported by two ropes as shown. Calculate the tension in each rope needed to keep the weight in this equilibrium position.

### Diagram Explanation
- The diagram shows a weight \(W\) suspended and supported by two ropes.
- Rope \(AC\) makes a 50° angle with the horizontal.
- Rope \(BC\) makes a 75° angle with the horizontal.
- Points \(A\) and \(B\) are anchored on a horizontal surface.

### Free Body Diagram (FBD)
- The Free Body Diagram is labeled as "FBD" and is meant for illustrating the forces acting on the weight.

### Equations
- \(T_{CA} = \) ________
- \(T_{CB} = \) ________

### Tension Analysis
- **Question**: If the breaking tension of each rope cord is 120 lb, will the cords support the system as shown?
- **Options**:
  - Yes, they will hold
  - No, something will break

**Explain**:
- [Space provided for explanation.]

**Instructions**: Calculate the tension \(T_{CA}\) and \(T_{CB}\) using the angles provided and determine the feasibility based on the breaking tension.
Transcribed Image Text:**Problem 2: 2D Equilibrium (30%)** A weight of 100 lb is supported by two ropes as shown. Calculate the tension in each rope needed to keep the weight in this equilibrium position. ### Diagram Explanation - The diagram shows a weight \(W\) suspended and supported by two ropes. - Rope \(AC\) makes a 50° angle with the horizontal. - Rope \(BC\) makes a 75° angle with the horizontal. - Points \(A\) and \(B\) are anchored on a horizontal surface. ### Free Body Diagram (FBD) - The Free Body Diagram is labeled as "FBD" and is meant for illustrating the forces acting on the weight. ### Equations - \(T_{CA} = \) ________ - \(T_{CB} = \) ________ ### Tension Analysis - **Question**: If the breaking tension of each rope cord is 120 lb, will the cords support the system as shown? - **Options**: - Yes, they will hold - No, something will break **Explain**: - [Space provided for explanation.] **Instructions**: Calculate the tension \(T_{CA}\) and \(T_{CB}\) using the angles provided and determine the feasibility based on the breaking tension.
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