### Problem 2/90: Microwave Transmission Tower Stability#### Description:A 70-meter high microwave transmission tower is stabilized by three guy cables, as illustrated in the diagram.#### Scenario:- **Cable AB** carries a tension of 12 kN.- The objective is to express the corresponding force on point B as a vector.#### Diagram Explanation:1. **3D Ground Plane Representation**: - The setup is depicted in a 3-dimensional coordinate system with axes labeled \(x\), \(y\), and \(z\). - The origin, point **O**, is at the base of the tower.2. **Tower**: - The tower extends vertically upward along the **z-axis**, reaching a height of 70 meters, known as point **A**.3. **Guy Cables**: - **Cable AB** extends from the top of the tower (point **A**) to the ground at point **B**. - The positions of points **B, C,** and **D** are given in the **xy-plane** relative to point **O** (origin).4. **Coordinates and Positions**: - **Point A**: (0, 0, 70) - **Point O**: (0, 0, 0) - **Point B**: (-20, -25, 0). This means point **B** is 20 meters along the negative \(x\)-axis and 25 meters along the negative \(y\)-axis from the origin.#### Task:To express the force exerted by cable AB on point B as a vector, using the given coordinate information and tension value.#### Solution Outline:1. **Determine Position Vector \( \overrightarrow{AB} \)**: - Calculate the components of vector \( \overrightarrow{AB} \) in the \(x, y, z\) coordinates. - \( \overrightarrow{AB} = B - A = (-20 - 0, -25 - 0, 0 - 70) = (-20, -25, -70) \).2. **Calculate the Magnitude of \( \overrightarrow{AB} \)**: - \( | \overrightarrow{AB} | = \sqrt{(-20)^2 + (-25)^2 + (-70)^2} \).3. **Determine Unit Vector \( \hat

Solution: Co ordinates of the points are : A = (0,0,70)B=(35,-25,10)C = (20, 50,0)D = (-40, 20,0)

2/90 The 70-m microwave transmission tower is steadied by three guy cables as shown. Cable AB carries a tension of 12 kN. Express the corresponding force on point B as a vector. z 35 m 40 m B 25 m A 70 m 10 m 20 m 30 m C 20 m y

2/90 The 70-m microwave transmission tower is steadied by three guy cables as shown. Cable AB carries a tension of 12 kN. Express the corresponding force on point B as a vector. z 35 m 40 m B 25 m A 70 m 10 m 20 m 30 m C 20 m y

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Determine the Cartesian components, X and Y of force F2 if the sum of the moments created by F1 and…

Q: The plate has three external forces applied to it as shown below. The force F has a magnitude of 10…

Q: F2 = 81 lb F = 100 lb 4 ft B 3 ft 40° 7 ft 4 ft For the problem shown, the vector F2 expressed as a…

A: The direction of force F2 as shown in the given diagram is along CB. Therefore, the unit vector…

Q: F2 = 80 N 20° F = 150 N 30° 15° F4=100 N F3 = 110 N %3D

Q: The plate has three external forces applied to it as shown below. The force F has a magnitude of 21…

Q: . A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is a…

Q: F₁ F21 Ꮎ C A 41 B L₂ L3 D h y F3 Find the equivalent resultant force and couple moment of the force…

Q: 1. A 5kN force is applied to the pulley system as shown. The member OA is a simple two force member.…

Q: The plate has three external forces applied to it as shown below. The force F has a magnitude of 18…

Q: X 0.2 m -F2 0.2 m - F3 IF₂ 0.2 m N F3 0.2 m F₁ -F4 = [-150 k] N 0.3 m 0.2 m 0.2 m-F₁ 0.3 m -30° F4 =…

Q: 4

A: I hope this is helpful.

Q: 1b. IF x=2.1m and z=1.8m, determine the j component of the unit vector u_AD. Answer must include 3…

A: 1.b x=2.1m z=1.8m, To determine the j component of the unit vector u_AD.

Q: The force F is applied at point A and its line of action passes through B. Determine the following:…

Q: Question 3: Determine the Cartesian components, X and Y, of force F2 if the sum of the moments…

Q: Compute the moment of the force about the axis AB

Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

### Problem 2/90: Microwave Transmission Tower Stability

#### Description:

A 70-meter high microwave transmission tower is stabilized by three guy cables, as illustrated in the diagram.

#### Scenario:

- **Cable AB** carries a tension of 12 kN.
- The objective is to express the corresponding force on point B as a vector.

#### Diagram Explanation:

1. **3D Ground Plane Representation**:
- The setup is depicted in a 3-dimensional coordinate system with axes labeled \(x\), \(y\), and \(z\).
- The origin, point **O**, is at the base of the tower.

2. **Tower**:
- The tower extends vertically upward along the **z-axis**, reaching a height of 70 meters, known as point **A**.

3. **Guy Cables**:
- **Cable AB** extends from the top of the tower (point **A**) to the ground at point **B**.
- The positions of points **B, C,** and **D** are given in the **xy-plane** relative to point **O** (origin).

4. **Coordinates and Positions**:
- **Point A**: (0, 0, 70)
- **Point O**: (0, 0, 0)
- **Point B**: (-20, -25, 0). This means point **B** is 20 meters along the negative \(x\)-axis and 25 meters along the negative \(y\)-axis from the origin.

#### Task:

To express the force exerted by cable AB on point B as a vector, using the given coordinate information and tension value.

#### Solution Outline:

1. **Determine Position Vector \( \overrightarrow{AB} \)**:
- Calculate the components of vector \( \overrightarrow{AB} \) in the \(x, y, z\) coordinates.
- \( \overrightarrow{AB} = B - A = (-20 - 0, -25 - 0, 0 - 70) = (-20, -25, -70) \).

2. **Calculate the Magnitude of \( \overrightarrow{AB} \)**:
- \( | \overrightarrow{AB} | = \sqrt{(-20)^2 + (-25)^2 + (-70)^2} \).

3. **Determine Unit Vector \( \hat

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

SOLVE IN DIGITAL FORMAT STEP BY STEP
Please include "Given, Find, and Solution" parts as well as Free Body Diagram. Thank you.
given that tension in cabe AB is 2.8 kips what are the x, y, and z force components from point A?
2 m F₂ = 40 N T 3 m A F₁ = 70 N 3 m C -3 m 4 m x 2m B Determine the magnitude of the projection of the force F₁ along cable AC. Determine the angle between the two ropes.
I want the answer in 15 minutes, please, and I want it in clear writing