Elementary Surveying: An Introduction To Geomatics (15th Edition)
15th Edition
ISBN: 9780134604657
Author: Charles D. Ghilani
Publisher: PEARSON
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Question
Chapter 11, Problem 11.29P
To determine
The three-dimensional position of the occupied station P.
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A
B
0
B
F
C
The force F = 319 N acts on the frame shown in picture.
Resolve this force into components acting along memebers AB
and AC to determine the magnitude of each component. The
angle mesurements are 0 = 33° and B = 40°.
magnitude in member AB in Newton:
N
magnitude in memeber AC in Newton:
N
The force vector F has a magnitude of F = 450 lb and acts
15.7° with respect to vertical as
at point A at an angle
→
=
shown. The force F is balanced by the tension forces parallel
to the two rods AC and AB such that the vector equation
→
F+F AC + FAB
=
0 is satisfied. Determine the tension
forces in the two rods in Cartesian Vector Notation.
с
a
b
B
CC +
BY NC SA
2013 Michael Swanbom
A
NF
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable Value
a
5.9 ft
b
C
3 ft
3.1 ft
FAC
=
FAB=
ĵ) lb
lb
+
+
F2
Y
B
V
5
4
3
F1
X
F3
→
The given forces are F₁ = 20 kN, F2= 28 kN, and F3 = 61 kN,
with given ratio for F₁ and angles of B = 51° and y = 67°.
Find the resultant force.
First in Cartesian Vector Notation:
FR
=
2 +
j) kN
Then, find the magnitude and direction:
magnitude in kN:
kN
conventional direction (counter clockwise from positive X
axis) in degrees:
deg
Chapter 11 Solutions
Elementary Surveying: An Introduction To Geomatics (15th Edition)
Ch. 11 - Prob. 11.1PCh. 11 - Prob. 11.2PCh. 11 - Prob. 11.3PCh. 11 - Prob. 11.4PCh. 11 - Prob. 11.5PCh. 11 - Prob. 11.6PCh. 11 - Prob. 11.7PCh. 11 - Prob. 11.8PCh. 11 - Prob. 11.9PCh. 11 - Prob. 11.10P
Ch. 11 - Prob. 11.11PCh. 11 - Prob. 11.12PCh. 11 - Prob. 11.13PCh. 11 - Prob. 11.14PCh. 11 - Prob. 11.15PCh. 11 - Prob. 11.16PCh. 11 - Prob. 11.17PCh. 11 - Prob. 11.18PCh. 11 - Prob. 11.19PCh. 11 - Prob. 11.20PCh. 11 - Prob. 11.21PCh. 11 - Prob. 11.22PCh. 11 - Prob. 11.23PCh. 11 - Prob. 11.24PCh. 11 - Prob. 11.25PCh. 11 - Prob. 11.26PCh. 11 - Prob. 11.27PCh. 11 - Prob. 11.28PCh. 11 - Prob. 11.29PCh. 11 - Prob. 11.30PCh. 11 - Prob. 11.31PCh. 11 - Prob. 11.32PCh. 11 - Prob. 11.33PCh. 11 - Prob. 11.34PCh. 11 - Prob. 11.35PCh. 11 - Prob. 11.36P
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