A shop sign weighing 195 NN hangs from the end of a uniform 180180-NN beam as shown in (Figure 1).A. Find the horizontal force exerted by the hinge on the beam at the wall.Express your answer to three significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left. B. Find the vertical force exerted by the hinge on the beam at the wall.Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward. C.Find the vertical force exerted by the hinge on the beam at the wall.Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward. ### Structure Holding a Sign in PlaceThis diagram illustrates a structural setup designed to hold a sign in place. Here is a detailed breakdown of the components and measurements shown:1. **Wall Mount:** - The structure is anchored to a wall on the left side of the diagram.2. **Horizontal Support Beam:** - A horizontal beam extends from the wall and is responsible for holding the sign. This beam measures **1.35 meters** from the wall to the first notch, and an additional **1.70 meters** from this point to the end of the beam where the sign is placed.3. **Sign:** - The sign being held up by the structure is labeled "Paul's Auto Repair" and is located at the end of the horizontal beam.4. **Support Cable:** - A structural cable is attached to the end of the beam and then anchored back to the wall above the initial attachment point of the beam. - This cable is angled at **35.0°** from the beam, contributing to the tension necessary to secure the sign and prevent the beam from sagging under its weight.### Explanation of Forces and Angles:Understanding the forces at play, the tension in the supporting cable, and the angle will be crucial for ensuring the structure is stable and capable of holding the sign without failure. - **Length and Balance:** - The different measurements (1.35 m and 1.70 m) dictate the balancing and distribution of forces across the beam. - **Angle Impact:** - The **35.0°** angle between the cable and the horizontal beam helps distribute the tensile force used to keep the beam horizontal and supports the sign’s weight.### Practical Applications:- The principles shown in this diagram can be applied in real-world scenarios where signs or other objects need to be securely mounted using similar structural configurations.- Understanding the interaction of tensile force, beam length, and angles ensures that structures are designed for safety and reliability.### Educational Importance:- This example will help students or individuals interested in structural engineering or physics to visualize and calculate forces in static equilibrium scenarios.- Highlighting real-world applications helps connect theoretical knowledge with practical usage.

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Answered: A shop sign weighing 195 NN hangs from…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A shop sign weighing 195 NN hangs from the end of a uniform 180180-NN beam as shown in (Figure 1).

A. Find the horizontal force exerted by the hinge on the beam at the wall.

Express your answer to three significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left.

B. Find the vertical force exerted by the hinge on the beam at the wall.

Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

Find the vertical force exerted by the hinge on the beam at the wall.

Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

### Structure Holding a Sign in Place

This diagram illustrates a structural setup designed to hold a sign in place. Here is a detailed breakdown of the components and measurements shown:

1. **Wall Mount:**
- The structure is anchored to a wall on the left side of the diagram.

2. **Horizontal Support Beam:**
- A horizontal beam extends from the wall and is responsible for holding the sign. This beam measures **1.35 meters** from the wall to the first notch, and an additional **1.70 meters** from this point to the end of the beam where the sign is placed.

3. **Sign:**
- The sign being held up by the structure is labeled "Paul's Auto Repair" and is located at the end of the horizontal beam.

4. **Support Cable:**
- A structural cable is attached to the end of the beam and then anchored back to the wall above the initial attachment point of the beam.
- This cable is angled at **35.0°** from the beam, contributing to the tension necessary to secure the sign and prevent the beam from sagging under its weight.

### Explanation of Forces and Angles:

Understanding the forces at play, the tension in the supporting cable, and the angle will be crucial for ensuring the structure is stable and capable of holding the sign without failure.

- **Length and Balance:**
- The different measurements (1.35 m and 1.70 m) dictate the balancing and distribution of forces across the beam.

- **Angle Impact:**
- The **35.0°** angle between the cable and the horizontal beam helps distribute the tensile force used to keep the beam horizontal and supports the sign’s weight.

### Practical Applications:

- The principles shown in this diagram can be applied in real-world scenarios where signs or other objects need to be securely mounted using similar structural configurations.
- Understanding the interaction of tensile force, beam length, and angles ensures that structures are designed for safety and reliability.

### Educational Importance:

- This example will help students or individuals interested in structural engineering or physics to visualize and calculate forces in static equilibrium scenarios.
- Highlighting real-world applications helps connect theoretical knowledge with practical usage.

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