PreLab Equilibrium questions: 1) In Figure1 in manual F1 = 185.0gm-wt, F2 = 205gm-wt, 01 = 35.0 degrees and 02= 56.0 degrees. a) Determine magnitude and direction of F3. %3D %3D %3D %3D

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Chapter1: Units, Trigonometry. And Vectors
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**Pre-Lab Equilibrium Questions:**

1) **In Figure 1 in manual:**
   - \( F_1 = 185.0 \, \text{gm-wt} \)
   - \( F_2 = 205.0 \, \text{gm-wt} \)
   - \( \theta_1 = 35.0 \, \text{degrees} \) and \( \theta_2 = 56.0 \, \text{degrees} \)

   a) Determine the magnitude and direction of \( F_3 \).

2) **In figures 3 and 4, \( AM = 14.4 \, \text{cm} \):**
   - \( F_2 = 165 \, \text{gm-wt} \) and \( \theta_2 = 56.0 \, \text{degrees} \)

   Calculate torque of \( F_2 \) about the point \( A \) and sense of rotation.

3) **In figures 3 and 4, \( AN = 13.4 \, \text{cm} \):**
   - \( F_3 = 75 \, \text{gm-wt} \) and \( \theta_3 = 79.0 \, \text{degrees} \)

   Calculate torque of \( F_3 \) about the point \( A \) and sense of rotation.
Transcribed Image Text:**Pre-Lab Equilibrium Questions:** 1) **In Figure 1 in manual:** - \( F_1 = 185.0 \, \text{gm-wt} \) - \( F_2 = 205.0 \, \text{gm-wt} \) - \( \theta_1 = 35.0 \, \text{degrees} \) and \( \theta_2 = 56.0 \, \text{degrees} \) a) Determine the magnitude and direction of \( F_3 \). 2) **In figures 3 and 4, \( AM = 14.4 \, \text{cm} \):** - \( F_2 = 165 \, \text{gm-wt} \) and \( \theta_2 = 56.0 \, \text{degrees} \) Calculate torque of \( F_2 \) about the point \( A \) and sense of rotation. 3) **In figures 3 and 4, \( AN = 13.4 \, \text{cm} \):** - \( F_3 = 75 \, \text{gm-wt} \) and \( \theta_3 = 79.0 \, \text{degrees} \) Calculate torque of \( F_3 \) about the point \( A \) and sense of rotation.
## Transcription for Educational Website

### Theory:

The diagram labeled as Fig. 1 illustrates a physical setup involving forces and angles. This setup is used to demonstrate the conditions required for equilibrium in a system.

### Diagram Explanation:

1. **Diagram Elements:**
   - There are three forces, denoted as \( F_1 \), \( F_2 \), and \( F_3 \).
   - The forces converge at a point labeled \( M \).
   - Angles \( \theta_1 \), \( \theta_2 \), and \( \theta_3 \) are formed between the forces and the lines connecting them.
   - The system includes pulleys depicted as circles with ropes looping around them.

2. **Setup Configuration:**
   - \( F_1 \) is directed towards the bottom right corner, creating angle \( \theta_1 \) with the horizontal.
   - \( F_2 \) points upwards and to the right, forming angle \( \theta_2 \).
   - \( F_3 \) is directed horizontally to the left, along \( \theta_3 \).

3. **Additional Details:**
   - The diagram includes shading to differentiate sections, suggesting a surface or base.
   - The illustration might be part of a lab experiment aimed at exploring mechanical equilibriums, where vector addition or balancing is required.
   
This setup highlights the principles of equilibrium, demonstrating how forces interact in a balanced system and the significance of angles and directions in vector analysis.
Transcribed Image Text:## Transcription for Educational Website ### Theory: The diagram labeled as Fig. 1 illustrates a physical setup involving forces and angles. This setup is used to demonstrate the conditions required for equilibrium in a system. ### Diagram Explanation: 1. **Diagram Elements:** - There are three forces, denoted as \( F_1 \), \( F_2 \), and \( F_3 \). - The forces converge at a point labeled \( M \). - Angles \( \theta_1 \), \( \theta_2 \), and \( \theta_3 \) are formed between the forces and the lines connecting them. - The system includes pulleys depicted as circles with ropes looping around them. 2. **Setup Configuration:** - \( F_1 \) is directed towards the bottom right corner, creating angle \( \theta_1 \) with the horizontal. - \( F_2 \) points upwards and to the right, forming angle \( \theta_2 \). - \( F_3 \) is directed horizontally to the left, along \( \theta_3 \). 3. **Additional Details:** - The diagram includes shading to differentiate sections, suggesting a surface or base. - The illustration might be part of a lab experiment aimed at exploring mechanical equilibriums, where vector addition or balancing is required. This setup highlights the principles of equilibrium, demonstrating how forces interact in a balanced system and the significance of angles and directions in vector analysis.
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