Four forces (measured in Newtons) act on a crate. The forces are given by the vectors: F₁ = 2121-136j+241k N, F₂ = 108i + 144j+ 189k N. F₂ = -400i + 180j + 240k N, and F₁ = -270€ N a) What is the resultant, R = F₁+F₂ +F3 + F4, of the four forces? What is the magnitude of the resultant force? b) If the displacement of the crate is given by d = 0.5f-0.1j+2.7k m What is the contribution by the first force F₁ to the work done, i.e. W = F₁.d? c) If the third force, F3, acts at the point (0.5, 0.8,0.1) m, what is the moment, M = r X F3, at the point (-0.5,0.8,0.7) m?

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)...
icon
Related questions
Question
100%
Question
Four forces (measured in Newtons) act on a crate. The forces are given by the vectors:
F₁ = 212i-136j + 241k N,
F₂ =
= 108i + 144j+ 189k N.
F₂ = -400 + 180j + 240k N, and F₂ = -270€ N
a) What is the resultant, R = F₁+F₂ + F3 + F4, of the four forces? What is the magnitude
of the resultant force?
b) If the displacement of the crate is given by
d = 0.5i - 0.1j + 2.7k m
What is the contribution by the first force F₁ to the work done, i.e. W = F₁. d?
c) If the third force, F3, acts at the point (0.5, 0.8,0.1) m, what is the moment, M = r X F3,
at the point (-0.5,0.8,0.7) m?
d) What is the angle (in degrees to 2 decimal places) between the force vectors F₂ and
F3?
e) What is the force vector, F, that acts in the opposite direction to the force F₂ and has
magnitude of 203 Newtons?
Transcribed Image Text:Question Four forces (measured in Newtons) act on a crate. The forces are given by the vectors: F₁ = 212i-136j + 241k N, F₂ = = 108i + 144j+ 189k N. F₂ = -400 + 180j + 240k N, and F₂ = -270€ N a) What is the resultant, R = F₁+F₂ + F3 + F4, of the four forces? What is the magnitude of the resultant force? b) If the displacement of the crate is given by d = 0.5i - 0.1j + 2.7k m What is the contribution by the first force F₁ to the work done, i.e. W = F₁. d? c) If the third force, F3, acts at the point (0.5, 0.8,0.1) m, what is the moment, M = r X F3, at the point (-0.5,0.8,0.7) m? d) What is the angle (in degrees to 2 decimal places) between the force vectors F₂ and F3? e) What is the force vector, F, that acts in the opposite direction to the force F₂ and has magnitude of 203 Newtons?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 8 images

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.
Similar questions
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