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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 tension in the supporting wire (at 35.0∘∘). B. 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.

A shop sign weighing 195 NN hangs from the end of a uniform 180180-NN beam as shown in (Figure 1). A. Find the tension in the supporting wire (at 35.0∘∘). B. 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.

College Physics
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 tension in the supporting wire (at 35.0∘∘).

B.
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.
Title: Understanding Support Structures with Paul's Auto Repair Sign Diagram Interpretation: The image illustrates a support structure used for mounting a sign. In this scenario, the sign board reads "Paul's Auto Repair" and is mounted horizontally on a rigid beam which is attached to a vertical wall. Key Elements of the Diagram: 1. **Vertical Wall:** The wall is depicted on the left side of the image and serves as the primary support for the beam. 2. **Horizontal Beam:** A horizontal beam extends out from the wall and supports the sign. The beam is shown to be rigidly attached to the wall. 3. **Support Cable:** A cable is attached from the end of the beam to a higher point on the wall, forming an angle of 35.0° with the horizontal beam. This cable provides additional support to the beam. 4. **Dimensions:** - The horizontal distance from the wall to the end of the beam is 1.70 meters. - The position of the sign is marked on the beam at a distance of 1.35 meters from the wall. 5. **Sign:** The sign saying "Paul's Auto Repair" is shown hanging from the end of the beam. Purpose of the Diagram: The image is designed to demonstrate the principles of support structures, including the use of a horizontal beam and a support cable to carry loads. It showcases how forces are distributed in a real-life application such as mounting a sign. Students can learn about torque, tension, and equilibrium in mechanical systems from this setup. Educational Use: - **Physics and Engineering:** The diagram can be used to explain the concepts of static equilibrium, where the sum of forces and the sum of moments (torques) around a point must be zero for the system to be in balance. - **Mathematics:** The image can be useful for problems involving trigonometry, such as calculating the tension in the support cable. - **Practical Applications:** Understanding the real-world application of support beams and cables in structures, which is useful for students interested in construction, architectural design, and structural engineering. In summary, this diagram serves as a practical example to explore and understand the concepts of forces, equilibrium, and structural support in a simple yet applicable manner.
Transcribed Image Text:Title: Understanding Support Structures with Paul's Auto Repair Sign Diagram Interpretation: The image illustrates a support structure used for mounting a sign. In this scenario, the sign board reads "Paul's Auto Repair" and is mounted horizontally on a rigid beam which is attached to a vertical wall. Key Elements of the Diagram: 1. **Vertical Wall:** The wall is depicted on the left side of the image and serves as the primary support for the beam. 2. **Horizontal Beam:** A horizontal beam extends out from the wall and supports the sign. The beam is shown to be rigidly attached to the wall. 3. **Support Cable:** A cable is attached from the end of the beam to a higher point on the wall, forming an angle of 35.0° with the horizontal beam. This cable provides additional support to the beam. 4. **Dimensions:** - The horizontal distance from the wall to the end of the beam is 1.70 meters. - The position of the sign is marked on the beam at a distance of 1.35 meters from the wall. 5. **Sign:** The sign saying "Paul's Auto Repair" is shown hanging from the end of the beam. Purpose of the Diagram: The image is designed to demonstrate the principles of support structures, including the use of a horizontal beam and a support cable to carry loads. It showcases how forces are distributed in a real-life application such as mounting a sign. Students can learn about torque, tension, and equilibrium in mechanical systems from this setup. Educational Use: - **Physics and Engineering:** The diagram can be used to explain the concepts of static equilibrium, where the sum of forces and the sum of moments (torques) around a point must be zero for the system to be in balance. - **Mathematics:** The image can be useful for problems involving trigonometry, such as calculating the tension in the support cable. - **Practical Applications:** Understanding the real-world application of support beams and cables in structures, which is useful for students interested in construction, architectural design, and structural engineering. In summary, this diagram serves as a practical example to explore and understand the concepts of forces, equilibrium, and structural support in a simple yet applicable manner.
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