3 forces (F1, F2, F3) act on the same point on an object. The point of application is the origin of the Cartesian coordinate system. F1 has a magnitude of 15.0 kN, is located in the y-z plane and has an angle of beta = 33.0 degrees. F2 lies in the x-z plane and is described by integer lengths of a similar right triangle of 12 , 5 , 13 (length, height, hyp.) and has a magnitude of F2=17.0kNWhat is the magnitude of F3? The image depicts a 3D coordinate system with forces acting on a point. The axes are labeled \(x\), \(y\), and \(z\).### Components:1. **Axes**: - The origin is marked by a green sphere where the \(x\), \(y\), and \(z\) axes intersect.2. **Forces**: - **\(F_1\):** This force is in the \(xy\)-plane and is directed at an angle \(\beta_1\) above the negative \(y\)-axis. The dashed line represents a component along the \(y\)-axis. - **\(F_2\):** This force is directed between the \(yz\)-plane. It is resolved into two components, forming a right triangle with sides labeled \(5\) and \(12\), and the hypotenuse labeled \(13\). - **\(F_3\):** This force points into the third quadrant of the \(xy\)-plane, away from the origin.3. **Angles and Right Triangles**: - An angle \(\beta_1\) is marked between \(F_1\) and the negative \(y\)-axis. - \(F_2\) forms a right triangle, with one side parallel to the \(z\)-axis (\(5\)) and the other parallel to the \(y\)-axis (\(12\)).This diagram can be used to study vector resolution, highlighting how forces can be decomposed into their components along the coordinate axes.

Answered: Image /qna-images/answer/05a00d6e-4b15-4fa0-bd58-13f125b721c4.jpg

Answered: 3 forces (F1, F2, F3) act on the same…

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

Question

3 forces (F1, F2, F3) act on the same point on an object. The point of application is the origin of the Cartesian coordinate system. F1 has a magnitude of 15.0 kN, is located in the y-z plane and has an angle of beta = 33.0 degrees. F2 lies in the x-z plane and is described by integer lengths of a similar right triangle of 12 , 5 , 13 (length, height, hyp.) and has a magnitude of F2=17.0kN What is the magnitude of F3?

The image depicts a 3D coordinate system with forces acting on a point. The axes are labeled \(x\), \(y\), and \(z\).

### Components:
1. **Axes**:
- The origin is marked by a green sphere where the \(x\), \(y\), and \(z\) axes intersect.

2. **Forces**:
- **\(F_1\):** This force is in the \(xy\)-plane and is directed at an angle \(\beta_1\) above the negative \(y\)-axis. The dashed line represents a component along the \(y\)-axis.
- **\(F_2\):** This force is directed between the \(yz\)-plane. It is resolved into two components, forming a right triangle with sides labeled \(5\) and \(12\), and the hypotenuse labeled \(13\).
- **\(F_3\):** This force points into the third quadrant of the \(xy\)-plane, away from the origin.

3. **Angles and Right Triangles**:
- An angle \(\beta_1\) is marked between \(F_1\) and the negative \(y\)-axis.
- \(F_2\) forms a right triangle, with one side parallel to the \(z\)-axis (\(5\)) and the other parallel to the \(y\)-axis (\(12\)).

This diagram can be used to study vector resolution, highlighting how forces can be decomposed into their components along the coordinate axes.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

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