8.5.2 Represent and reason PIVOTAL Class: Equipment per group: whiteboard and markers. ope on heam 2 → x (200 N) pmenonbam (600 N) 10 m 7 m 5 m A force diagram for a beam is shown at the right. Help your group members to apply the first and second conditions of equilibrium for this situation and solve for the unknown forces. Draw a picture of a situation that the diagram might describe. Put your work on a whiteboard.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### 8.5.2 Represent and Reason

**PIVOTAL Class**: Equipment per group: whiteboard and markers.

A force diagram for a beam is shown to the right. Help your group members to apply the first and second conditions of equilibrium for this situation and solve for the unknown forces. Draw a picture of a situation that the diagram might describe. Put your work on a whiteboard.

---

**Description of the Diagram:**

The diagram depicts a force diagram for a beam, oriented horizontally along the x-axis. The forces acting on the beam are indicated as follows:

- **T (rope on beam 1)**: Acting upwards at the far left end of the beam.
- **T (rope on beam 2)**: Acting upwards at the far right end of the beam.
- **F (earth on beam)**: A downwards force at the center of the beam, labeled as 200 N.
- **F (person on beam)**: A downwards force towards the left side of the beam, labeled as 600 N.

**Distances:**
- The distance between the left upward force and the person's downward force is 7 meters.
- The distance between the left upward force and the central downward force is 10 meters.
- The total length of the beam is 17 meters.

**Axes:**
- The vertical axis, y, is labeled upwards.
- The horizontal axis, x, is labeled to the right.

---

To solve for the unknown forces, apply the conditions of equilibrium:
1. **The sum of all vertical forces must be zero**: \(\sum F_y = 0\)
2. **The sum of all torques (moments) about any point must be zero**: \(\sum \tau = 0\)

---

Draw potential real-world scenarios based on the given force diagram and analyze them using the principles of equilibrium. Use the provided whiteboard and markers for your sketch and calculations.
Transcribed Image Text:### 8.5.2 Represent and Reason **PIVOTAL Class**: Equipment per group: whiteboard and markers. A force diagram for a beam is shown to the right. Help your group members to apply the first and second conditions of equilibrium for this situation and solve for the unknown forces. Draw a picture of a situation that the diagram might describe. Put your work on a whiteboard. --- **Description of the Diagram:** The diagram depicts a force diagram for a beam, oriented horizontally along the x-axis. The forces acting on the beam are indicated as follows: - **T (rope on beam 1)**: Acting upwards at the far left end of the beam. - **T (rope on beam 2)**: Acting upwards at the far right end of the beam. - **F (earth on beam)**: A downwards force at the center of the beam, labeled as 200 N. - **F (person on beam)**: A downwards force towards the left side of the beam, labeled as 600 N. **Distances:** - The distance between the left upward force and the person's downward force is 7 meters. - The distance between the left upward force and the central downward force is 10 meters. - The total length of the beam is 17 meters. **Axes:** - The vertical axis, y, is labeled upwards. - The horizontal axis, x, is labeled to the right. --- To solve for the unknown forces, apply the conditions of equilibrium: 1. **The sum of all vertical forces must be zero**: \(\sum F_y = 0\) 2. **The sum of all torques (moments) about any point must be zero**: \(\sum \tau = 0\) --- Draw potential real-world scenarios based on the given force diagram and analyze them using the principles of equilibrium. Use the provided whiteboard and markers for your sketch and calculations.
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