### 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.

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.

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

Question

### 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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