4. Determine the resultant force of FB and Fc at point A, the angle between FB and Fc, as well as the magnitude of the projection of Fc along AB.
4. Determine the resultant force of FB and Fc at point A, the angle between FB and Fc, as well as the magnitude of the projection of Fc along AB.
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
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Question
Refer to the image for question details and the diagram.

Transcribed Image Text:4. Determine the resultant force of F3 and Fc at point A, the angle between FB and Fc, as well
as the magnitude of the projection of Fc along AB.
Нint:
2 ft
1. Find position vectors rAB and rac using the
coordinates of points A, B and C.
2. Find unit vectors uAB and uaC-
A
Fc = 490 lb
FB = 600 lb
r
u =
r
4, ft
6 ft
3. Express FB and Fc as Cartesian vectors.
F = F.u
3 ft
B
4. Add vectors F3 and Fc together. That will
be the resultant force (in vector form).
5. Find angle between the two force vectors.
4 ft 2 ft
4 ft
F, F,
cos e = -
= u 43 ·U 4C
F3 Fc
6. Two ways to find projection of Fc:
Fc_AB = Fc·cos 0 = u 43 · Fc
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