978-0133915426 Chapter 4 Part 4

subject Type Homework Help
subject Authors Russell C. Hibbeler

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SOLUTION
4–61.
Determine the magnitude of the moment of the force
F = {50i - 20j - 80k} N
about the base line AB of the tripod.
CA
D
F
z
1.5 m
2 m
4 m
SOLUTION
CA
D
F
z
1.5 m
2 m
4 m
4–62.
Determine the magnitude of the moment of the force
F = {50i - 20j - 80k} N
about the base line BC of the tripod.
290
SOLUTION
4–63.
Determine the magnitude of the moment of the force
F = {50i - 20j - 80k} N
about the base line CA of the tripod.
CA
D
F
z
1.5 m
2 m
4 m
291
SOLUTION
*4–64.
A horizontal force of
F = {-50i} N
is applied perpendicular
to the handle of the pipe wrench. Determine the moment
that this force exerts along the axis OA (z axis) of the pipe
assembly. Both the wrench and pipe assembly, OABC, lie in
the y-z plane. Suggestion: Use a scalar analysis.
z
O
A
135°
0.6 m
0.8 m
B
C
F
0.2 m
292
SOLUTION
4–65.
Determine the magnitude of the horizontal force
F=-Fi
acting on the handle of the wrench so that this force
produces a component of the moment along the OA axis
(z axis) of the pipe assembly of Mz
={4k}
N
#
m. Both the
wrench and the pipe assembly, OABC, lie in they-z plane.
Suggestion: Use a scalar analysis.
z
A
135°
0.6 m
0.8 m
B
C
F
0.2 m
293
4–66.
SOLUTION
The force of acts on the bracket as shown.
Determine the moment of the force about the axis of
the pipe if a = 60°, b = 60°, and g = 45°. Also, determine
the coordinate direction angles of Fin order to produce the
maximum moment about the a-a axis.What is this moment?
a-a
F=30 N
60••
45••
60••
y
x
z
100 mm
50 mm
F=30N
100 mm
294
SOLUTION
4–67.
A clockwise couple M
=
5 N #m
is resisted by the shaft of
the electric motor. Determine the magnitude of the reactive
forces
-R
and R which act at supports A and B so that the
resultant of the two couples is zero.
AB
M
RR
150 mm
6060
295
*4–68.
Atwist of is applied to the handle of the screwdriver.
Resolve this couple moment into a pair of couple forces F
exerted on the handle and Pexerted on the blade.
4N
#
m
SOLUTION
30 mm
5mm
4N·m
F
P
–F
–P
296
4–69.
If the resultant couple of the three couples acting on the
triangular block is to be zero,determine the magnitude of
forces Fand P.
SOLUTION
F
y
z
DP
F
C
B
150N
4–70.
Two couples act on the beam. If F= 125 lb , determine the result-
ant couple moment.
SOLUTION
200 lb
200 lb
1.5 ft 1.25 ft
30
30
F
F
298
4–71.
Two couples act on the beam. Determine the magnitude of
Fso that the resultant couple moment is
counterclockwise.Where on the beam does the resultant
couple moment act?
450 lb #ft,
SOLUTION
200 lb
200 lb
2ft
1.5 ft 1.25 ft
30
30
F
F
299
*4–72.
Determine the magnitude of the couple force
F
so that the
resultant couple moment on the crank is zero.
SOLUTION
150 lb
150 lb
30 30
45
45
30
30
–F
5 in.
5 in.
4 in.
4 in.
300
4–73.
SOLUTION
The ends of the triangular plate are subjected to three
couples. Determine the magnitude of the force Fso that the
resultant couple moment is clockwise.400 N #m
600 N
600 N
F
F
40 40
301
4–74.
The man tries to open the valve by applying the couple forces
of F= 75 N to the wheel. Determine the couple moment
produced.
SOLUTION
150 mm 150 mm
F
F
302
4–75.
If the valve can be opened with a couple moment of ,determine
the required magnitude of each couple force which must be applied
to the wheel.
SOLUTION
25 N
#
m150 mm 150 mm
F
F
303
SOLUTION
*4–76.
Determine the magnitude of F so that the resultant couple
moment is 12 kN
#
m, counterclockwise. Where on the beam
does the resultant couple moment act?
F
F
8 kN
0.3 m
0.4 m
3030
304
4–77.
Two couples act on the beam as shown. If F= 150 lb,determine
the resultant couple moment.
SOLUTION
200 lb
200 lb
1.5 ft
F
4
3
5
F4
3
5
4–78.
200 lb
200 lb
1.5 ft
F
4
3
5
F4
3
5
Two couples act on the beam as shown. Determine the
magnitude of Fso that the resultant couple moment is
counterclockwise.Where on the beam does the
resultant couple act?
300 lb #ft
SOLUTION
306
4–79.
Two couples act on the frame.If the resultant couple moment
is to be zero,determine the distance dbetween the 80-lb
couple forces.
SOLUTION
2ft
B
y
1ft
3ft
50 lb
80 lb
50 lb
30
30
5
4
3
d
307
*4–80.
SOLUTION
Two coup
l
es act on t
h
e frame.If
d
eterm
i
ne t
h
e
resultant couple moment. Compute the result by resolving
each force into xand ycomponents and (a) finding the
moment of each couple (Eq. 4–13) and (b) summing the
moments of all the force components about point A.
d=4ft,
2ft
B
y
1ft
3ft
50 lb
80 lb
50 lb
30
30
5
4
3
d

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