**Physics Problem: Tension in a Cable***Context: Applications in Construction and Renovation***Problem Description:**It's exciting watching the construction and renovation happening in Uptown Columbus! On one construction site, you notice that a uniform beam of length 13.6 meters and mass 47.9 kg is attached to a wall by a cable. The angle between the cable and the beam is 59.5°. The beam is free to pivot about the point where it attaches to the wall. What is the tension in the cable if the beam is not moving?**Question:**Given this scenario, calculate the tension in the cable.**Answer:** (This would be a blank box or space for students to input/solve the problem)---**Explanation:**In solving this problem, students would need to:1. **Identify the Forces Acting on the Beam:** - Weight of the beam acting downward from its center of mass. - Tension in the cable. - The pivot force at the point of attachment on the wall.2. **Use the Concept of Torque:** - The beam is not moving, indicating it is in equilibrium. Thus, the sum of all torques about any point (the pivot is a convenient choice) must be zero.3. **Apply the Equilibrium Conditions:** - Summing torques about the pivot point. - Resolving the forces in horizontal and vertical components. This problem combines practical observations from construction with theoretical physics concepts such as torque and tension, preparing students for real-world engineering and physics applications.

Answered: Image /qna-images/answer/7bc3e9ee-33d7-47b7-8adc-16698072dd5e.jpg

It's exciting watching the construction and renovation happening in Uptown Columbus! On one construction site, you notice that a uniform beam of length 13.6 m and mass 47.9 kg is attached to a wall by a cable. The angle between the cable and the beam is 59.5°. The beam is free to pivot about the point where it attaches to the wall. What is the tension in the cable, if the beam is not moving? Your Answer: Answer

It's exciting watching the construction and renovation happening in Uptown Columbus! On one construction site, you notice that a uniform beam of length 13.6 m and mass 47.9 kg is attached to a wall by a cable. The angle between the cable and the beam is 59.5°. The beam is free to pivot about the point where it attaches to the wall. What is the tension in the cable, if the beam is not moving? Your Answer: Answer

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

**Physics Problem: Tension in a Cable**

*Context: Applications in Construction and Renovation*

**Problem Description:**

It's exciting watching the construction and renovation happening in Uptown Columbus! On one construction site, you notice that a uniform beam of length 13.6 meters and mass 47.9 kg is attached to a wall by a cable. The angle between the cable and the beam is 59.5°. The beam is free to pivot about the point where it attaches to the wall. What is the tension in the cable if the beam is not moving?

**Question:**

Given this scenario, calculate the tension in the cable.

**Answer:** (This would be a blank box or space for students to input/solve the problem)

---

**Explanation:**

In solving this problem, students would need to:

1. **Identify the Forces Acting on the Beam:**
- Weight of the beam acting downward from its center of mass.
- Tension in the cable.
- The pivot force at the point of attachment on the wall.

2. **Use the Concept of Torque:**
- The beam is not moving, indicating it is in equilibrium. Thus, the sum of all torques about any point (the pivot is a convenient choice) must be zero.

3. **Apply the Equilibrium Conditions:**
- Summing torques about the pivot point.
- Resolving the forces in horizontal and vertical components.

This problem combines practical observations from construction with theoretical physics concepts such as torque and tension, preparing students for real-world engineering and physics applications.

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