~
.. Determine the magnitude and directional sense of
:he moment of the force at A about point P.
y
Using Cartesian vector analysis, determine the
resultant moment of the three forces about the base of
the column at A. Take F] = {40Oi + 300j + 120k} N.
3m
-,";:;o+-------L..-i.-----
x
F2 = (IOOi - 100j - 60k}N
Sm
2m-j
8m
1m
The power pole supports the three lines, each line
exerting a vertical force on the pole due to its weight as
shown. Determine the resultant moment at the base D
due to all of these forces. If it is possible for wind or ice
to snap the lines, determine which line(s) when removed
create(s) a condition for the greatest moment about the
base. What is this resultant moment?
~------y
E
x
Determine the resultant moment of the two forces
about the Oa axis. Express the result as a Cartesian vector.'
A
z
400lb
700lb
L3.5
ft
4J
--+---~~---,-__l_-.,__---y
a
.
Determine the moment of the force F about point
<.4 as a function of 8. Plot the results of M (ordinate)
U(abscissa) for 0° :5 8 :5 180°
...
F=400 N
(/-~
\0.J
x
\
The lug and box wrenches are used in combination to
remove the lug nut from the wheel hub. 1£ the applied force
on the end of the box wrench is F = {4i - 12j + 2k} N,
determine the magnitude of the moment of this force about
the x axis which is effective in unscrewing the lug nut.
1------3 m-------1
y
x
~
If the couple moment has a magnitude of
250 N . m, determine the magnitude F of the couple forces,
@,
y
Replace the loading on the frame by a single
resultant force. Specify where its line of action intersects
member AS, measured from A.
300lb
200lb
3 ft
_ _~---,r+_ _4_m_....,,,,o
L-l_ _
pB
x
1m
(-A...
400lb
4 ft
..
~
~
2ft
600 lb· ft
200lb
-F
®
7ft
. The resultant couple moment created by the two
couples acting on the disk is M R = {10k} kip' in. Determine
the magnitude of force T.
-T
y
x
®
Replace the force and couple system by an
equivalent force and couple moment acting at point O.
y
2kN
5kN
c