Consider the mechanical system shown in Figure 2 (a) Draw the free-body diagram (or force diagram) for this system at point P. (b) Construct the component equilibrium equations based on the first condition for equilibrium for the point P, i.e., use sum Fx=0 and sum Fy =0 . (c) If the tension force T1 =1165N, theta 1 =50.0^ and theta 2 =35.0^ what are the magnitudes of the tension force T2 weight W = mg ?

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Consider the mechanical system shown in Figure 2

(a) Draw the free-body diagram (or force diagram) for this system at point P.

(b) Construct the component equilibrium equations based on the first condition for equilibrium for the point P, i.e., use sum Fx=0 and sum Fy =0 .

(c) If the tension force T1 =1165N, theta 1 =50.0^ and theta 2 =35.0^ what are the magnitudes of the tension force T2 weight W = mg ?

The image depicts a mechanical system labeled as Figure 2. It illustrates a free-body diagram of a suspended mass, denoted as \( m \), hanging from a point \( P \) with two supporting tensions \( T_1 \) and \( T_2 \).

### Diagram Explanation:

- **Mass \( m \)**: The object being supported, located at the center and hanging vertically downwards from point \( P \).
- **Point \( P \)**: The central point where the mass \( m \) is attached, and from which the two tension forces are acting.
  
- **Tension Forces**:
  - \( T_1 \): The tension force acting at an angle \( \theta_1 \) to the horizontal on the right side.
  - \( T_2 \): The tension force acting at an angle \( \theta_2 \) to the horizontal on the left side.

- **Angles**:
  - \( \theta_1 \): The angle between \( T_1 \) and the horizontal surface to which the system is attached.
  - \( \theta_2 \): The angle between \( T_2 \) and the horizontal surface.

The diagram is a classic representation for analyzing forces and equilibrium in static systems, specifically to solve for unknown forces or angles using equilibrium equations.
Transcribed Image Text:The image depicts a mechanical system labeled as Figure 2. It illustrates a free-body diagram of a suspended mass, denoted as \( m \), hanging from a point \( P \) with two supporting tensions \( T_1 \) and \( T_2 \). ### Diagram Explanation: - **Mass \( m \)**: The object being supported, located at the center and hanging vertically downwards from point \( P \). - **Point \( P \)**: The central point where the mass \( m \) is attached, and from which the two tension forces are acting. - **Tension Forces**: - \( T_1 \): The tension force acting at an angle \( \theta_1 \) to the horizontal on the right side. - \( T_2 \): The tension force acting at an angle \( \theta_2 \) to the horizontal on the left side. - **Angles**: - \( \theta_1 \): The angle between \( T_1 \) and the horizontal surface to which the system is attached. - \( \theta_2 \): The angle between \( T_2 \) and the horizontal surface. The diagram is a classic representation for analyzing forces and equilibrium in static systems, specifically to solve for unknown forces or angles using equilibrium equations.
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