As shown, a member is fixed at the origin, point O, and has two applied forces, F1 and F2, applied at the free end, point B. (Figure 3) The forces are given by F1 115 N i- 110 Nj+55 N k and F2 has magnitude 195 N and direction angles a = 143.0°, B= 57.0°, and y 75.2°. The dimensions are a1 = 1.30 m, y1 = 1.85 m, and z1 = 1.10 m. What is the moment about the origin due to the applied forces? Express the individual components of the Cartesian vector to three significant figures, separated by commas.
As shown, a member is fixed at the origin, point O, and has two applied forces, F1 and F2, applied at the free end, point B. (Figure 3) The forces are given by F1 115 N i- 110 Nj+55 N k and F2 has magnitude 195 N and direction angles a = 143.0°, B= 57.0°, and y 75.2°. The dimensions are a1 = 1.30 m, y1 = 1.85 m, and z1 = 1.10 m. What is the moment about the origin due to the applied forces? Express the individual components of the Cartesian vector to three significant figures, separated by commas.
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
Related questions
Question
![calculated using a matrix determinant:
Part C - Moment due to two forces
i
j
k
M =r x F =| rz
ry
As shown, a member is fixed at the origin, point O, and has two applied forces, F1 and F2, applied at the free end,
rz
F, F, F
point B.
(Figure 3)
Notice that the order of the elements of the matrix
determinant is important; switching rows 2 and 3 of the
determinant would change the sign of the moment from
positive to negative (or vice versa.)
The forces are given by F1 = 115 Ni- 110 Nj+ 55 N k and F2 has magnitude 195 N and direction angles
a = 143.0°, B= 57.0°, and y= 75.2°. The dimensions are x1 = 1.30 m, y1 = 1.85 m, and z1 = 1.10 m.
What is the moment about the origin due to the applied forces?
Figure
3 of 3
Express the individual components of the Cartesian vector to three significant figures, separated by commas.
• View Available Hint(s)
vec
?
Mo =[
i, j, k] N. m
Submit
В
< Return to Assignment
Provide Feedback](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47359ca2-f4e2-4d3a-959c-d44170bf2aeb%2F82fee686-b2a6-4719-9949-006faf30c8ee%2Fmmb9syd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:calculated using a matrix determinant:
Part C - Moment due to two forces
i
j
k
M =r x F =| rz
ry
As shown, a member is fixed at the origin, point O, and has two applied forces, F1 and F2, applied at the free end,
rz
F, F, F
point B.
(Figure 3)
Notice that the order of the elements of the matrix
determinant is important; switching rows 2 and 3 of the
determinant would change the sign of the moment from
positive to negative (or vice versa.)
The forces are given by F1 = 115 Ni- 110 Nj+ 55 N k and F2 has magnitude 195 N and direction angles
a = 143.0°, B= 57.0°, and y= 75.2°. The dimensions are x1 = 1.30 m, y1 = 1.85 m, and z1 = 1.10 m.
What is the moment about the origin due to the applied forces?
Figure
3 of 3
Express the individual components of the Cartesian vector to three significant figures, separated by commas.
• View Available Hint(s)
vec
?
Mo =[
i, j, k] N. m
Submit
В
< Return to Assignment
Provide Feedback
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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.Recommended textbooks for you
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY