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Question 2: #52 An 80 kg construction worker sits down 2.0 m from the end of a 1450 kg steel beam to eat his lunch, as shown in Figure below. The cable supporting the beam is rated at 15,000 N. Should the worker be worried?

Question 2: #52 An 80 kg construction worker sits down 2.0 m from the end of a 1450 kg steel beam to eat his lunch, as shown in Figure below. The cable supporting the beam is rated at 15,000 N. Should the worker be worried?

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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Question 2:    #52   An 80 kg construction worker sits down 2.0 m from the end of a 1450 kg steel beam to eat his lunch, as shown in Figure below.  The cable supporting the beam is rated at 15,000 N.  

Should the worker be worried?

 

 

 

 

In this diagram, we have a practical example involving basic trigonometry and physics principles, particularly dealing with forces and angles. The scenario depicted illustrates a person lying on a supported beam, which is stabilized by a cable. **Description:** - **Beam Length**: The total horizontal length of the beam is 6.0 meters. - **Cable**: A cable is attached from the end of the beam where the person is positioned, forming an angle with the horizontal beam. - **Angle with the Horizontal**: The cable forms a 30-degree angle with the horizontal beam. **Elements:** 1. **Cable**: This component helps to maintain the structural integrity by supporting the beam and counteracting the force exerted by the person and the beam itself. 2. **Person**: Represented in the diagram for better context on the practical application, such as construction or mechanical maintenance scenarios. 3. **Angle (30 degrees)**: The angle between the cable and the horizontal beam is critical for calculating tension in the cable and other forces in the system. **Applications:** This diagram can be used to understand the following concepts: - **Resolving Forces**: Determine the tension in the cable and the resultant forces acting on the beam and the wall. - **Trigonometric Relationships**: Applying trigonometric ratios to find unknown lengths or forces. - **Mechanical Advantage**: Assess how the angle affects the force distribution and supporting requirements. **Discussion:** Understanding the equilibrium and the forces in such setups is crucial for engineering applications. By knowing the length of the beam, the angle of the cable, and the load applied (the person), students can calculate the necessary tensile strength of the cable and the forces exerted on anchor points. This image serves as a practical example to apply theoretical knowledge in real-world scenarios. For further calculations: - Using trigonometric relations (sine, cosine, tangent functions) will simplify the components of the forces along the cable and horizontal directions. - The sum of horizontal and vertical forces should be zero for a system in equilibrium. This scenario is ideal for introductory lessons on statics and dynamics in engineering or physics courses.
Transcribed Image Text:In this diagram, we have a practical example involving basic trigonometry and physics principles, particularly dealing with forces and angles. The scenario depicted illustrates a person lying on a supported beam, which is stabilized by a cable. **Description:** - **Beam Length**: The total horizontal length of the beam is 6.0 meters. - **Cable**: A cable is attached from the end of the beam where the person is positioned, forming an angle with the horizontal beam. - **Angle with the Horizontal**: The cable forms a 30-degree angle with the horizontal beam. **Elements:** 1. **Cable**: This component helps to maintain the structural integrity by supporting the beam and counteracting the force exerted by the person and the beam itself. 2. **Person**: Represented in the diagram for better context on the practical application, such as construction or mechanical maintenance scenarios. 3. **Angle (30 degrees)**: The angle between the cable and the horizontal beam is critical for calculating tension in the cable and other forces in the system. **Applications:** This diagram can be used to understand the following concepts: - **Resolving Forces**: Determine the tension in the cable and the resultant forces acting on the beam and the wall. - **Trigonometric Relationships**: Applying trigonometric ratios to find unknown lengths or forces. - **Mechanical Advantage**: Assess how the angle affects the force distribution and supporting requirements. **Discussion:** Understanding the equilibrium and the forces in such setups is crucial for engineering applications. By knowing the length of the beam, the angle of the cable, and the load applied (the person), students can calculate the necessary tensile strength of the cable and the forces exerted on anchor points. This image serves as a practical example to apply theoretical knowledge in real-world scenarios. For further calculations: - Using trigonometric relations (sine, cosine, tangent functions) will simplify the components of the forces along the cable and horizontal directions. - The sum of horizontal and vertical forces should be zero for a system in equilibrium. This scenario is ideal for introductory lessons on statics and dynamics in engineering or physics courses.
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