As shown below, a sign weighing 434 N is hanging (via a wire) from a uniform 480 N beam of length L. Additionally, the beam is attached to a cable that makes an angle ? (? = 30°) with the beam.WebAssign Plot Determine the tension in the cable and the magnitude & direction of the force the hinge (the orange circle) exerts on the beam.Cable tension = 653.6 N Incorrect: Your answer is incorrect.Hinge force = 815.597 N Direction of hinge force = 46.05 relative to the vertical in quadrant 1 (incorrect) ### Understanding Beam and Cable Tension**Scenario:**A sign weighing 434 N is hanging from a uniform beam with a weight of 480 N and length L. The beam is supported by a cable that forms a 30° angle with it.**Diagram Explanation:**- The beam is horizontally positioned with one end attached to a wall.- The cable is attached near the wall and forms an angle \( \theta = 30^\circ \) with the beam.- The critical dimensions are displayed: the vertical distance from the horizontal beam to the wall connection of the cable is denoted as \( 0.3L \), and the position of the beam's center of mass is \( 0.2L \).- The hinge (orange circle) at the wall exerts a force on the beam.**Analysis Questions:**1. **Determine the tension in the cable** and the magnitude & direction of the force the hinge exerts on the beam. - **Cable tension:** - Provided answer: 653.6 N (marked incorrect). - **Hinge force:** - Provided answer: 815.597 N (marked incorrect). - **Direction of hinge force:** - Provided answer: 46.05° relative to the vertical, in the first quadrant (marked incorrect).Understanding the principles involved in such scenarios helps with calculating forces in static equilibrium, crucial for structural and mechanical engineering.

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Answered: As shown below, a sign weighing 434 N…

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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As shown below, a sign weighing 434 N is hanging (via a wire) from a uniform 480 N beam of length L. Additionally, the beam is attached to a cable that makes an angle ? (? = 30°) with the beam.

WebAssign Plot Determine the tension in the cable and the magnitude & direction of the force the hinge (the orange circle) exerts on the beam.
Cable tension =
653.6 N

Incorrect: Your answer is incorrect.

Hinge force =
815.597 N

Direction of hinge force =
46.05

relative to the vertical in quadrant 1 (incorrect)

### Understanding Beam and Cable Tension

**Scenario:**
A sign weighing 434 N is hanging from a uniform beam with a weight of 480 N and length L. The beam is supported by a cable that forms a 30° angle with it.

**Diagram Explanation:**
- The beam is horizontally positioned with one end attached to a wall.
- The cable is attached near the wall and forms an angle \( \theta = 30^\circ \) with the beam.
- The critical dimensions are displayed: the vertical distance from the horizontal beam to the wall connection of the cable is denoted as \( 0.3L \), and the position of the beam's center of mass is \( 0.2L \).
- The hinge (orange circle) at the wall exerts a force on the beam.

**Analysis Questions:**
1. **Determine the tension in the cable** and the magnitude & direction of the force the hinge exerts on the beam.
- **Cable tension:**
- Provided answer: 653.6 N (marked incorrect).
- **Hinge force:**
- Provided answer: 815.597 N (marked incorrect).
- **Direction of hinge force:**
- Provided answer: 46.05° relative to the vertical, in the first quadrant (marked incorrect).

Understanding the principles involved in such scenarios helps with calculating forces in static equilibrium, crucial for structural and mechanical engineering.

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