### Physics Problem: Suspended Beam Analysis(b) In the figure below, a uniform beam of weight 500 N and length 3.0 m is suspended horizontally. On the left, it is hinged to a wall; on the right, it is supported by a cable bolted to the wall at a distance \( D \) above the beam. The least tension that will snap the cable is 1200 N.1. **Question:** (a) What value of \( D \) corresponds to that tension? (b) To prevent the cable from snapping, should \( D \) be increased or decreased from that value?#### Diagram Explanation:The provided diagram depicts the following setup:- **Beam**: A horizontal beam of length 3.0 meters is shown.- **Hinge**: The left end of the beam is attached to the wall with a hinge.- **Cable**: A cable is depicted, bolted to the wall at a vertical distance \( D \) above the point where the cable attaches to the beam's right end.- **Distance \( D \)**: The vertical distance from the beam to the point where the cable connects to the wall is denoted \( D \).![Diagram](https://example.com/path/to/your/image)**Note**: You can visualize the forces acting on the beam, the weight acting downwards, the tension in the cable, and the reactions at the hinge.### Solution Steps:1. **Equilibrium Conditions**: - The sum of forces in both horizontal and vertical directions must be zero. - The sum of moments about any point must be zero. Normally, it's convenient to take moments about the hinge.2. **Calculation of Distance \( D \)**: - Using the moment equilibrium equation around the hinge: \[ \text{Moment from Weight (500 N) = Moment from Tension (1200 N)} \] Consider the perpendicular distances from the hinge to the lines of forces of weight and tension.3. **Preventing Cable Snap**: - Evaluate how the tension changes with \( D \). If increasing \( D \) reduces the required tension for equilibrium, then potentially, increasing \( D \) prevents the cable snap; otherwise, reducing \( D \) is necessary.### Analysis and Conclusion:- By calculating \( D \), you can find the exact point where tension reaches its maximum allowable value.

Draw the free-body diagram of the system.

(b) In the figure below, a uniform beam of weight 500 N and length 3.0 m is suspended horizontally. On the left it is hinged to a wall; on the right it is sup- ported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1200 N. (a) What value of D corresponds to that tension? (b) To prevent the cable from snapping, should D be increased or decreased from that value? D Cable Beam

(b) In the figure below, a uniform beam of weight 500 N and length 3.0 m is suspended horizontally. On the left it is hinged to a wall; on the right it is sup- ported by a cable bolted to the wall at distance D above the beam. The least tension that will snap the cable is 1200 N. (a) What value of D corresponds to that tension? (b) To prevent the cable from snapping, should D be increased or decreased from that value? D Cable Beam

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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