Unlock document.
This document is partially blurred.
Unlock all pages and 1 million more documents.
Get Access
122
2–101.
The two mooring cables exert forces on the stern of a ship
as shown. Represent each force as a Cartesian vector and
determine the magnitude and coordinate direction angles
z
C
F
B
= 150 lb
F
A
= 200 lb
SOLUTION
of the resultant.
2–102.
The engine of the lightweight plane is supported by struts that
are connected to the space truss that makes up the structure
of the plane.The anticipated loading in two of the struts is
shown. Express each of these forces as a Cartesian vector.
SOLUTION
3ft
2.5ft
0.5ft
B
C
A
D
F
2
600lb
F
1
400lb
z
124
2–103.
Determine the magnitude and coordinates on angles of the
resultant force.
SOLUTION
z
C
A
40 lb
4 ft
20 lb
125
*2–104.
SOLUTION
If the force in each cable tied to the bin is 70 lb, determine
the magnitude and coordinate direction angles of the
resultant force.
z
E
6ft
F
C
F
A
126
2–105.
If the resultant of the four forces is ,
determine the tension developed in each cable.Due to
symmetry,the tension in the four cables is the same.
FR=
5
-360k
6
lb
SOLUTION
z
E
6ft
F
C
F
F
A
127
2–106.
Express the force F in Cartesian vector form if it acts at the
midpoint B of the rod.
z
4 m
4 m
OF 600 N
B
A
C
2–107.
Express force F in Cartesian vector form if point B is
located 3 m along the rod end C.
x
z
4 m
4 m
OF 600 N
B
A
C
SOLUTION
129
*2–108.
SOLUTION
The chandelier is supported by three chains which are
concurrent at point O. If the force in each chain has a
magnitude of 60 lb, express each force as a Cartesian vector
and determine the magnitude and coordinate direction
angles of the resultant force.
z
O
F
B
F
C
130
2–109.
The chandelier is supported by three chains which are
concurrent at point O.If the resultant force at Ohas a
magnitude of 130 lb and is directed along the negative zaxis,
determine the force in each chain.
SOLUTION
z
O
F
B
F
C
x
131
2–110.
The window is held open by chain AB. Determine the
length of the chain, and express the 50-lb force acting at A
along the chain as a Cartesian vector and determine its
coordinate direction angles.
SOLUTION
12 ft
=50lb
B
5ft
z
F
2–111.
The window is held open by cable AB. Determine the
length of the cable and express the 30-N force acting at A
along the cable as a Cartesian vector.
250 mm
B
150 mm
z
SOLUTION
133
*2–112.
Given the three vectors A,B, and D, show that
.A#(B+D)=(A#B)+(A#D)
B
A
z
2 m
2 m
2–113.
SOLUTION
Determine the magnitudes of the components of
acting along and perpendicular to segment DE
of the pipe assembly.
F=600 N
B
A
z
2m
2m
135
2–114.
Determine the angle
u
between the two cables.
SOLUTION
z
A
B
C
y
2 m
3 m
3 m
2 m
4 m
F1 70 N
F2 40 N
u
136
2–115.
Determine the magnitude of the projection of the force F1
along cable AC.
SOLUTION
z
A
B
C
y
2 m
3 m
3 m
2 m
4 m
F1 70 N
F2 40 N
u
137
*2–116.
Determine the angle between the yaxis of the pole and
the wire AB.
u
SOLUTION
$
\
]
[IW
IW
IW
e
138
2–117.
Determine the magnitudes of the projected components of
the force F = [60i + 12j - 40k] N along the cables AB
andAC.
1.5 m
3 m
1 m
0.75 m
1 m
B
C
A
z
y
x
u
SOLUTION
139
2–118.
Determine the angle
u
between cables AB and AC.
1.5 m
3 m
1 m
0.75 m
1 m
B
C
A
z
y
x
u
SOLUTION
140
2–119.
Aforce of lb acts at the end of the pipe.
Determine the magnitudes of the components and
which are directed along the pipe’saxis and perpendicular
to it.
F2
F1
F=5-40k6
z
y
3ft
5ft
O
141
*2–120.
Two cables exert forces on the pipe. Determine the
magnitude of the projected component of along the line
of action of .F2
F1
SOLUTION
60
z
60
F2 25 lb
u
