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102
2–81.
If the coordinate direction angles for are ,
and , determine the magnitude and
coordinate direction angles of the resultant force acting on
the eyebolt.
g3=45°b3=60°
a3=120°F3
SOLUTION
43
5
z
F2 600 lb
F3 800 lb
103
2–82.
If the coordinate direction angles for are ,
and , determine the magnitude and
coordinate direction angles of the resultant force acting on
the eyebolt.
g3=60°b3=45°
a3=120°F3
SOLUTION
43
5
z
F2 600 lb
F3 800 lb
104
2–83.
If the direction of the resultant force acting on the eyebolt
is defined by the unit vector ,
determine the coordinate direction angles of and the
magnitude of .FR
F3
uFR
=cos 30°j+sin 30°k
SOLUTION
43
5
z
F2 600 lb
F3 800 lb
105
*2–84.
SOLUTION
The pole is subjected to the force F, which has components
acting along the x, y, zaxes as shown. If the magnitude of F
is 3 kN,,and , determine the magnitudes of
its three components.
g=75°b=30°
z
Fz
F
g
106
2–85.
The pole is subjected to the force Fwhich has components
and .If ,determine the
magnitudes of Fand Fy.
b=75°F
z=1.25 kNF
x=1.5 kN
SOLUTION
z
Fz
Fy
F
b
g
2–86.
Determine the length of the connecting rod AB by first
formulating a Cartesian position vector from A to B and
then determining its magnitude.
SOLUTION
300 mm
B
y
108
2–87.
Express force F as a Cartesian vector; then determine its
coordinate direction angles.
SOLUTION
F 135 lb
70
30
B
A
7 ft
10 ft
5 ft
y
z
109
*2–88.
Express each of the forces in Cartesian vector form and
determine the magnitude and coordinate direction angles
of the resultant force.
SOLUTION
F1 80 lb
C
O
A
4 ft
y
z
12
13
5
2.5 ft
110
2–89.
If and cable is 9 m long,
determine the coordinates of point .Ax, y, z
ABF=5350i-250j-450k6 N
SOLUTION
x
B
A
z
z
F
111
2–90.
The 8-m-long cable is anchored to the ground at A.
If x = 4 m and y = 2 m, determine the coordinate z to the
highest point of attachment along the column.
SOLUTION
z
B
112
2–91.
The 8-m-long cable is anchored to the ground at A.
If z = 5 m, determine the location + x, + y of point A. Choose
a value such that x = y.
SOLUTION
z
B
113
*2–92.
Express each of the forces in Cartesian vector form and
determine the magnitude and coordinate direction angles
of the resultant force.
SOLUTION
FAC 400 N
FAB 250 N
y
0.75 m
z
A
40
B
C
2 m 2 m
3 m
114
2–93.
If and , determine the magnitude
and coordinate direction angles of the resultant force acting
on the flag pole.
700 N560 N
SOLUTION
A
6 m
FB
FC
115
2–94.
If , and , determine the magnitude
and coordinate direction angles of the resultant force acting
on the flag pole.
560 N700 N
SOLUTION
A
6 m
FB
FC
2–95.
The plate is suspended using the three cables which exert
the forces shown. Express each force as a Cartesian vector.
z
FCA 500 lb
A
*2–96.
The three supporting cables exert the forces shown on the
sign. Represent each force as a Cartesian vector.
z
D
C
E
B
3 m
2 m
2 m
FC 400 N
FB 400 N
FE 350 N
SOLUTION
118
2–97.
Determine the magnitude and coordinate direction angles
of the resultant force of the two forces acting on the sign at
point A.
z
D
C
E
B
3 m
2 m
2 m
FC 400 N
FB 400 N
FE 350 N
SOLUTION
2–98.
The force F has a magnitude of 80 lb and acts at the
midpointC of the thin rod. Express the force as a Cartesian
vector.
6 ft
F 80 lb
B
C
z
SOLUTION
2–99.
The load at creates a force of in wire .Express
this force as a Cartesian vector acting on and directed
toward as shown.B
A
AB60 lbA
SOLUTION
5 ft
30
z
y
B
121
*2–100.
Determine the magnitude and coordinate direction angles of
the resultant force acting at point A on the post.
4 m
3 m
3 m
2 m
3
4
5
O
A
C
B
FAC 150 N
FAB 200 N
y
z
