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8 2
2–61.
T
h
e
b
o
l
t
i
s su
bj
ecte
d
to t
h
e force F,w
hi
c
h
h
as components
acting along the x, y, zaxes as shown. If the magnitude of Fis
80 N, and and determine the magnitudes
of its components.
g=45°,a=60°
SOLUTION
z
F
z
F
y
F
y
a
b
g
8 3
SOLUTION
2–62.
Determine the magnitude and coordinate direction angles
of the force F acting on the support. The component of F in
the
x9y
plane is 7 kN.
y
z
x
7 kN
40
30
F
8 4
2–63.
SOLUTION
Determine the magnitude and coordinate direction angles
of the resultant force and sketch this vector on the
coordinate system.
y
z
F
1
80 lb
40
F
2
130 lb
30
8 5
*2–64.
Spec
i
fy t
h
e coor
di
nate
di
rect
i
on ang
l
es of an
d
an
d
express each force as a Cartesian vector
.
F
2
F
1
SOLUTION
y
z
F
1
80 lb
40
F
2
130 lb
30
8 6
2–65.
The screw eye is subjected to the two forces shown. Express
each force in Cartesian vector form and then determine the
resultant force.Find the magnitude and coordinate direction
angles of the resultant force.
SOLUTION
F
1
= 300 N
y
z
45°
120°
60°
8 7
2–66.
SOLUTION
Determine the coordinate direction angles of .F
1F
1
= 300 N
y
z
45°
120°
60°
8 8
2–67.
SOLUTION
Determ
i
ne t
h
e magn
i
tu
d
e an
d
coor
di
nate
di
rect
i
on ang
l
es
of so that the resultant of the three forces acts along the
p
ositive yaxis and has a magnitude of 600 lb.
F3
z
F
3
F
1
180 lb
8 9
*2–68.
Determ
i
ne t
h
e magn
i
tu
d
e an
d
coor
di
nate
di
rect
i
on ang
l
es
of so that the resultant of the three forces is zero.F3
SOLUTION
z
F
3
F
1
180 lb
9 0
SOLUTION
2–69.
Determine the magnitude and coordinate direction angles
of the resultant force, and sketch this vector on the
coordinate system.
y
z
x
45
20
3
4
5
60
60
F1 400 N
F2 125 N
9 1
2–70.
Determine the magnitude and coordinate direction angles
of the resultant force, and sketch this vector on the
coordinate system.
SOLUTION
3
45
60
120
45
x
z
y
F2 525 N
F1 450 N
9 2
2–71.
SOLUTION
Specify the magnitude and coordinate direction angles ,
,of so that the resultant of the three forces acting
on the bracket is Note that lies in the
x–yplane.
F3
FR=5-350k6lb.
F1
g1
b1
a1
y
z
F
3
= 400 lb
F
2
= 200 lb
1
β
30°
1
γ
9 3
*2–72.
Two forces F1 and F2 act on the screw eye. If theresultant
force FR has a magnitude of 150 lb and the coordinate
direction angles shown, determine the magnitude of F2 and
its coordinate direction angles.
SOLUTION
F2
120
130
x
y
z
g
F1 80 lb
FR 150 lb
9 4
2–73.
Express each force in Cartesian vector form.
y
z
34
5
45
60
F1 90 N
F2 150 N
F3 200 N
9 5
2–74.
Determine the magnitude and coordinate direction angles
of the resultant force, and sketch this vector on the
coordinate system.
SOLUTION
y
z
34
5
45
60
F1 90 N
F2 150 N
F3 200 N
2–75.
SOLUTION
The spur gear is subjected to the two forces caused by
contact with other gears. Express each force as a Cartesian
vector.
135
F
2
180 lb
60
60
z
9 7
*2–76.
The spur gear is subjected to the two forces caused by
contact with other gears. Determine the resultant of the two
forces and express the result as a Cartesian vector.
SOLUTION
135
F
2
180 lb
60
60
z
9 8
2–77.
Determine the magnitude and coordinate direction angles
of the resultant force, and sketch this vector on the
coordinate system.
SOLUTION
x
z
F2 500 N
F1 = 400 N
135
60
60
20
y
60
9 9
2–78.
The two forces F1 and F2 acting at A have a resultant force
of FR=5-100k6 lb. Determine the magnitude and
coordinate direction angles of F2.
SOLUTION
y
z
A
B
30°
50°
100
2–79.
SOLUTION
Determine the coordinate direction angles of the force F1
and indicate them on the figure.
y
z
A
B
30°
50°
101
*2–80.
SOLUTION
The bracket is subjected to the two forces shown. Express
each force in Cartesian vector form and then determine the
resultant force Find the magnitude and coordinate
direction angles of the resultant force.
FR.
y
z
F2= 400 N
120°
45°
60°
