Homework Help is Here – Start Your Trial Now!
Science
Physics
Three forces when added produce a resultant force that is 100N pointing 65° above the +x – axis. If one of the forces (F1) is 50N in the +y – axis and another force (F2) is 100N in a direction 45° below the +x - axis. Find the magnitude and direction of third Force (F3). (by Sir Fabro, SI

Three forces when added produce a resultant force that is 100N pointing 65° above the +x – axis. If one of the forces (F1) is 50N in the +y – axis and another force (F2) is 100N in a direction 45° below the +x - axis. Find the magnitude and direction of third Force (F3). (by Sir Fabro, SI

College Physics
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)...
See similar textbooks
icon
Related questions
Question
3. Kindly answer this
**Problem:** Three forces, when added, produce a resultant force that is 100N pointing 65° above the +x-axis. If one of the forces (F₁) is 50N in the +y-axis and another force (F₂) is 100N in a direction 45° below the +x-axis, find the magnitude and direction of the third force (F₃). *(by Sir Fabro, SI Edition)* --- **Explanation:** This problem involves vector addition and resolution. You need to use trigonometry to resolve the forces into their components and apply the principle of vector addition to find the unknown force, F₃. The key steps are: 1. **Resolve F₁ and F₂ into their components:** - F₁ = 50N along +y-axis. Components: (0, 50). - F₂ = 100N at 45° below +x-axis. Components can be found using trigonometric functions (cosine and sine). 2. **Determine the components of the resultant force:** - Resultant = 100N at 65° above +x-axis. Use trigonometry to resolve into x and y components. 3. **Apply vector addition:** - Sum the components of F₁, F₂, and F₃ to equal the components of the resultant force. 4. **Solve for F₃:** - Use the component equations to find the magnitude and direction of F₃.
Transcribed Image Text:**Problem:** Three forces, when added, produce a resultant force that is 100N pointing 65° above the +x-axis. If one of the forces (F₁) is 50N in the +y-axis and another force (F₂) is 100N in a direction 45° below the +x-axis, find the magnitude and direction of the third force (F₃). *(by Sir Fabro, SI Edition)* --- **Explanation:** This problem involves vector addition and resolution. You need to use trigonometry to resolve the forces into their components and apply the principle of vector addition to find the unknown force, F₃. The key steps are: 1. **Resolve F₁ and F₂ into their components:** - F₁ = 50N along +y-axis. Components: (0, 50). - F₂ = 100N at 45° below +x-axis. Components can be found using trigonometric functions (cosine and sine). 2. **Determine the components of the resultant force:** - Resultant = 100N at 65° above +x-axis. Use trigonometry to resolve into x and y components. 3. **Apply vector addition:** - Sum the components of F₁, F₂, and F₃ to equal the components of the resultant force. 4. **Solve for F₃:** - Use the component equations to find the magnitude and direction of F₃.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Height and distance
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS