Refer to the image for question details and the diagram. 4. Determine the resultant force of F3 and Fc at point A, the angle between FB and Fc, as wellas the magnitude of the projection of Fc along AB.Нint:2 ft1. Find position vectors rAB and rac using thecoordinates of points A, B and C.2. Find unit vectors uAB and uaC-AFc = 490 lbFB = 600 lbru =r4, ft6 ft3. Express FB and Fc as Cartesian vectors.F = F.u3 ftB4. Add vectors F3 and Fc together. That willbe the resultant force (in vector form).5. Find angle between the two force vectors.4 ft 2 ft4 ftF, F,cos e = -= u 43 ·U 4CF3 Fc6. Two ways to find projection of Fc:Fc_AB = Fc·cos 0 = u 43 · Fc

GIVEN: Fc=490 lbFb=600 lb TO FIND: (i) Resultant force of Fb and Fc at point A (ii) Angle between Fb…

Answered: 4. Determine the resultant force of FB…

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.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.64P: Determine (a) the angle between the position vectors P and Q; and (b) a unit vector perpendicular to...

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Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

Question

Refer to the image for question details and the diagram.

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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