**Problem 8: Beam and Hinge Analysis**A uniform beam with a length of 12 meters and a weight of 800 Newtons is hinged at the wall and positioned at an angle of 30 degrees to the horizontal. A wire is attached to the beam 2 meters from its end, forming an angle of 45 degrees with the beam. **Questions:**a) What is the tension in the wire? b) What is the vertical component of the force exerted by the hinge? c) What is the horizontal component of the force exerted by the hinge? **Diagram Explanation:**The diagram shows a vertical wall with a beam extending from it. The beam is inclined upwards, forming a 30-degree angle with the horizontal. A wire is connected to the beam, making a 45-degree angle with it. The wire helps support the beam’s weight and creates a tension force.To solve this problem, consider the forces acting on the beam, including gravitational force, tension in the wire, and forces at the hinge. Use trigonometric functions and equilibrium conditions for the analysis.

Answered: Image /qna-images/answer/cbd46825-1fe3-4f39-9dfa-a763217e4b0e.jpg

8. A uniform beam, length = 12 m, wt = 800 N, is hinged at the wall and makes an angle of 30° to the horizontal. A wire connected to the beam 2 meters from its end makes an angle of 45° to the beam. a) What is the tension in the wire? b) What is the vertical component of the force of the hinge and c) What is the horizontal component of the force of the hinge? 45 30

8. A uniform beam, length = 12 m, wt = 800 N, is hinged at the wall and makes an angle of 30° to the horizontal. A wire connected to the beam 2 meters from its end makes an angle of 45° to the beam. a) What is the tension in the wire? b) What is the vertical component of the force of the hinge and c) What is the horizontal component of the force of the hinge? 45 30

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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Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

**Problem 8: Beam and Hinge Analysis**

A uniform beam with a length of 12 meters and a weight of 800 Newtons is hinged at the wall and positioned at an angle of 30 degrees to the horizontal. A wire is attached to the beam 2 meters from its end, forming an angle of 45 degrees with the beam.

**Questions:**
a) What is the tension in the wire?
b) What is the vertical component of the force exerted by the hinge?
c) What is the horizontal component of the force exerted by the hinge?

**Diagram Explanation:**

The diagram shows a vertical wall with a beam extending from it. The beam is inclined upwards, forming a 30-degree angle with the horizontal. A wire is connected to the beam, making a 45-degree angle with it. The wire helps support the beam’s weight and creates a tension force.

To solve this problem, consider the forces acting on the beam, including gravitational force, tension in the wire, and forces at the hinge. Use trigonometric functions and equilibrium conditions for the analysis.

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