A beam is attached to a vertical wall with a hinge. The mass of the beam is 1000 kg, and it is 4 m long. A steel support wire is tied from the end of the beam to the wall, making an angle of 30° with the beam. (a) By summing the torque about the axis passing through the hinge, calculate the tension in the support wire. Assume the beam is uniform so that the weight acts at its exact center. (b) What is the minimum cross-sectional area of the steel wire so that it is not permanently stretched? The yield strength (elastic limit) for steel is 290 × 106N/m2, and the ultimate breaking strength is 400×106N/m2. This diagram represents a static equilibrium problem involving a horizontal beam. Here is a detailed description of the image:- The image shows a horizontal beam fixed to a vertical wall on the left side.- The right end of the beam is supported by a cable, which forms a 30° angle with the beam.- The beam is subjected to a downward force of 1000 kg, acting at the end of the beam.**Explanation of the Diagram:**1. **Beam**: The horizontal structure shown in blue is the beam.2. **Wall-Mount**: The left side of the beam is attached to a vertical structure (representing a wall).3. **Cable**: There is a cable extending from the right end of the beam at an angle of 30° from the beam, connecting to a vertical support or point above.4. **Force**: A red arrow pointing downward from the beam's right end, indicating a vertical load of 1000 kg. This load is a representation of weight or force acting on the beam.5. **Angle**: The angle formed between the beam and the supporting cable is marked as 30°, indicating the angle of inclination of the cable with respect to the beam.This setup is typically used in physics and engineering problems to analyze forces, moments, and the conditions for equilibrium.

Given , mass of the beam m=1000 kg length of the beam l=4m

Answered: A beam is attached to a vertical wall…

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 beam is attached to a vertical wall with a hinge. The mass of the beam is 1000 kg, and it is 4 m long. A steel support wire is tied from the end of the beam to the wall, making an angle of 30° with the beam. (a) By summing the torque about the axis passing through the hinge, calculate the tension in the support wire. Assume the beam is uniform so that the weight acts at its exact center. (b) What is the minimum cross-sectional area of the steel wire so that it is not permanently stretched? The yield strength (elastic limit) for steel is 290 × 10⁶N/m², and the ultimate breaking strength is 400×10⁶N/m².

This diagram represents a static equilibrium problem involving a horizontal beam. Here is a detailed description of the image:

- The image shows a horizontal beam fixed to a vertical wall on the left side.
- The right end of the beam is supported by a cable, which forms a 30° angle with the beam.
- The beam is subjected to a downward force of 1000 kg, acting at the end of the beam.

**Explanation of the Diagram:**

1. **Beam**: The horizontal structure shown in blue is the beam.
2. **Wall-Mount**: The left side of the beam is attached to a vertical structure (representing a wall).
3. **Cable**: There is a cable extending from the right end of the beam at an angle of 30° from the beam, connecting to a vertical support or point above.
4. **Force**: A red arrow pointing downward from the beam's right end, indicating a vertical load of 1000 kg. This load is a representation of weight or force acting on the beam.
5. **Angle**: The angle formed between the beam and the supporting cable is marked as 30°, indicating the angle of inclination of the cable with respect to the beam.

This setup is typically used in physics and engineering problems to analyze forces, moments, and the conditions for equilibrium.

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