-
721. If and , determine the magnitudeof the resultant force
acting on the eyebolt and its directionmeasured clockwise from the
positive x axis.
T = 6 kNu = 30
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reserved. This material is protected under all copyright laws as
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publisher.
8 kN
T
x
y
u
45
2 Solutions 44918 1/21/09 12:01 PM Page 7
-
822. If and , determine the magnitudeof the resultant force
acting on the eyebolt and its directionmeasured clockwise from the
positive x axis.
T = 5 kNu = 60
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
8 kN
T
x
y
u
45
2 Solutions 44918 1/21/09 12:01 PM Page 8
-
923. If the magnitude of the resultant force is to be 9
kNdirected along the positive x axis, determine the magnitude
offorce T acting on the eyebolt and its angle .u
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
8 kN
T
x
y
u
45
2 Solutions 44918 1/21/09 12:01 PM Page 9
-
10
*24. Determine the magnitude of the resultant forceacting on the
bracket and its direction measuredcounterclockwise from the
positive u axis.
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
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publisher.
u
F1 200 lb
F2 150 lbv
30
30
45
2 Solutions 44918 1/21/09 12:01 PM Page 10
-
11
25. Resolve F1 into components along the u and axes,and
determine the magnitudes of these components.
v
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reserved. This material is protected under all copyright laws as
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in any form or by any means, without permission in writing from the
publisher.
u
F1 200 lb
F2 150 lbv
30
30
45
2 Solutions 44918 1/21/09 12:01 PM Page 11
-
12
26. Resolve F2 into components along the u and axes,and
determine the magnitudes of these components.
v
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
u
F1 200 lb
F2 150 lbv
30
30
45
2 Solutions 44918 1/21/09 12:01 PM Page 12
-
13
27. If and the resultant force acts along thepositive u axis,
determine the magnitude of the resultantforce and the angle .u
FB = 2 kN
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reserved. This material is protected under all copyright laws as
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publisher.
y
x
uB
FA 3 kN
FB
Au 30
2 Solutions 44918 1/21/09 12:01 PM Page 13
-
14
*28. If the resultant force is required to act along thepositive
u axis and have a magnitude of 5 kN, determine therequired
magnitude of FB and its direction .u
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reserved. This material is protected under all copyright laws as
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in any form or by any means, without permission in writing from the
publisher.
y
x
uB
FA 3 kN
FB
Au 30
2 Solutions 44918 1/21/09 12:01 PM Page 14
-
15
29. The plate is subjected to the two forces at A and Bas shown.
If , determine the magnitude of theresultant of these two forces
and its direction measuredclockwise from the horizontal.
u = 60
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
A
B
FA 8 kN
FB 6 kN
40
u
2 Solutions 44918 1/21/09 12:01 PM Page 15
-
16
210. Determine the angle of for connecting member Ato the plate
so that the resultant force of FA and FB isdirected horizontally to
the right.Also, what is the magnitudeof the resultant force?
u
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reserved. This material is protected under all copyright laws as
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in any form or by any means, without permission in writing from the
publisher.
A
B
FA 8 kN
FB 6 kN
40
u
211. If the tension in the cable is 400 N, determine
themagnitude and direction of the resultant force acting on the
pulley. This angle is the same angle of line AB on thetailboard
block.
u
400 N
30
y
A
Bx
400 N
u
2 Solutions 44918 1/21/09 12:01 PM Page 16
-
17
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reserved. This material is protected under all copyright laws as
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in any form or by any means, without permission in writing from the
publisher.
*212. The device is used for surgical replacement of theknee
joint. If the force acting along the leg is 360 N,determine its
components along the x and y axes.
60
360 N
10
y
x
y
x
2 Solutions 44918 1/21/09 12:01 PM Page 17
-
18
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
213. The device is used for surgical replacement of theknee
joint. If the force acting along the leg is 360 N,determine its
components along the x and y axes.
60
360 N
10
y
x
y
x
2 Solutions 44918 1/21/09 12:01 PM Page 18
-
19
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
214. Determine the design angle forstrut AB so that the 400-lb
horizontal force has acomponent of 500 lb directed from A towards
C.What is thecomponent of force acting along member AB? Take
.f = 40
u (0 u 90) A
C
B
400 lb
u
f
215. Determine the design angle between struts AB and AC so that
the 400-lb horizontalforce has a component of 600 lb which acts up
to the left, inthe same direction as from B towards A. Take .u =
30
f (0 f 90) A
C
B
400 lb
u
f
2 Solutions 44918 1/21/09 12:01 PM Page 19
-
20
*216. Resolve F1 into components along the u and axesand
determine the magnitudes of these components.
v
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reserved. This material is protected under all copyright laws as
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in any form or by any means, without permission in writing from the
publisher.
F1 250 N
F2 150 N u
v
30
30
105
217. Resolve F2 into components along the u and axesand
determine the magnitudes of these components.
v
F1 250 N
F2 150 N u
v
30
30
105
2 Solutions 44918 1/21/09 12:01 PM Page 20
-
21
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reserved. This material is protected under all copyright laws as
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in any form or by any means, without permission in writing from the
publisher.
218. The truck is to be towed using two ropes. Determinethe
magnitudes of forces FA and FB acting on each rope inorder to
develop a resultant force of 950 N directed alongthe positive x
axis. Set .u = 50
y
20x
A
B
FA
FB
u
219. The truck is to be towed using two ropes. If theresultant
force is to be 950 N, directed along the positive xaxis, determine
the magnitudes of forces FA and FB actingon each rope and the angle
of FB so that the magnitude ofFB is a minimum. FA acts at 20 from
the x axis as shown.
u
y
20x
A
B
FA
FB
u
2 Solutions 44918 1/21/09 12:01 PM Page 21
-
22
*220. If , , and the resultant force is 6 kN directed along the
positive y axis, determine the requiredmagnitude of F2 and its
direction .u
F1 = 5 kNf = 45
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F1
F2
x
y
u
f
60
2 Solutions 44918 1/21/09 12:01 PM Page 22
-
23
221. If and the resultant force is to be 6 kNdirected along the
positive y axis, determine the magnitudes ofF1 and F2 and the angle
if F2 is required to be a minimum.u
f = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F1
F2
x
y
u
f
60
2 Solutions 44918 1/21/09 12:01 PM Page 23
-
24
222. If , , and the resultant force is tobe directed along the
positive y axis, determine themagnitude of the resultant force if
F2 is to be a minimum.Also, what is F2 and the angle ?u
F1 = 5 kNf = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F1
F2
x
y
u
f
60
2 Solutions 44918 1/21/09 12:01 PM Page 24
-
25
223. If and , determine the magnitudeof the resultant force
acting on the plate and its directionmeasured clockwise from the
positive x axis.
F2 = 6 kNu = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
y
x
F3 5 kN
F1 4 kN
F2
u
2 Solutions 44918 1/21/09 12:01 PM Page 25
-
26
*224. If the resultant force FR is directed along a line
measured 75 clockwise from the positive x axis and the magnitude of
F2 is to be a minimum, determine themagnitudes of FR and F2 and the
angle .u 90
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
y
x
F3 5 kN
F1 4 kN
F2
u
2 Solutions 44918 1/21/09 12:01 PM Page 26
-
27
225. Two forces F1 and F2 act on the screw eye. If theirlines of
action are at an angle apart and the magnitude of each force is
determine the magnitude ofthe resultant force FR and the angle
between FR and F1.
F1 = F2 = F,u
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F2
F1
u
2 Solutions 44918 1/21/09 12:01 PM Page 27
-
28
226. The log is being towed by two tractors A and B.Determine
the magnitudes of the two towing forces FA andFB if it is required
that the resultant force have a magnitude
and be directed along the x axis. Set .u = 15FR = 10 kN
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
x
y
B
A30
FA
FBu
227. The resultant FR of the two forces acting on the log isto
be directed along the positive x axis and have a magnitudeof 10 kN,
determine the angle of the cable, attached to B suchthat the
magnitude of force FB in this cable is a minimum.What is the
magnitude of the force in each cable for thissituation?
u
x
y
B
A30
FA
FBu
2 Solutions 44918 1/21/09 12:01 PM Page 28
-
29
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
*228. The beam is to be hoisted using two chains. Deter-mine the
magnitudes of forces FA and FB acting on each chainin order to
develop a resultant force of 600 N directed alongthe positive y
axis. Set .u = 45
FB FA
y
x
30u
2 Solutions 44918 1/21/09 12:01 PM Page 29
-
30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
229. The beam is to be hoisted using two chains. If theresultant
force is to be 600 N directed along the positive yaxis, determine
the magnitudes of forces FA and FB acting oneach chain and the
angle of FB so that the magnitude of FBis a minimum. FA acts at 30
from the y axis, as shown.
u
FB FA
y
x
30u
2 Solutions 44918 1/21/09 12:01 PM Page 30
-
31
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
230. Three chains act on the bracket such that they createa
resultant force having a magnitude of 500 lb. If two of thechains
are subjected to known forces, as shown, determinethe angle of the
third chain measured clockwise from thepositive x axis, so that the
magnitude of force F in this chainis a minimum. All forces lie in
the xy plane. What is themagnitude of F? Hint: First find the
resultant of the twoknown forces. Force F acts in this
direction.
u
300 lb
200 lb
x
y
F
30
u
2 Solutions 44918 1/21/09 12:01 PM Page 31
-
32
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
231. Three cables pull on the pipe such that they create
aresultant force having a magnitude of 900 lb. If two of thecables
are subjected to known forces, as shown in the figure,determine the
angle of the third cable so that themagnitude of force F in this
cable is a minimum. All forceslie in the xy plane. What is the
magnitude of F? Hint: Firstfind the resultant of the two known
forces.
u
45
30
y
x
400 lb
600 lb
F
u
2 Solutions 44918 1/21/09 12:01 PM Page 32
-
33
*232. Determine the magnitude of the resultant forceacting on
the pin and its direction measured clockwise fromthe positive x
axis.
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
x
yF1 30 lb
F2 40 lb
F3 25 lb
15
15
45
2 Solutions 44918 1/21/09 12:01 PM Page 33
-
34
233. If and , determine themagnitude of the resultant force
acting on the eyebolt andits direction measured clockwise from the
positive x axis.
f = 30F1 = 600 N
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
y
x
345
F2 500 N
F1
F3 450 N
f
60
2 Solutions 44918 1/21/09 12:01 PM Page 34
-
35
234. If the magnitude of the resultant force acting on the
eyebolt is 600 N and its direction measured clockwisefrom the
positive x axis is , determine the magni-tude of F1 and the angle
.f
u = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
y
x
345
F2 500 N
F1
F3 450 N
f
60
2 Solutions 44918 1/21/09 12:01 PM Page 35
-
36
235. The contact point between the femur and tibiabones of the
leg is at A. If a vertical force of 175 lb is appliedat this point,
determine the components along the x and yaxes. Note that the y
component represents the normalforce on the load-bearing region of
the bones. Both the xand y components of this force cause synovial
fluid to besqueezed out of the bearing space.
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
x
A
175 lb
125
13
y
2 Solutions 44918 1/21/09 12:01 PM Page 36
-
37
*236. If and , determine the magnitudeof the resultant force
acting on the plate and its direction measured clockwise from the
positive x axis.
u
F2 = 3 kNf = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
x
y
F2
5
4
3
F1 4 kN
F3 5 kN
f
30
2 Solutions 44918 1/21/09 12:01 PM Page 37
-
38
237. If the magnitude for the resultant force acting onthe plate
is required to be 6 kN and its direction measuredclockwise from the
positive x axis is , determine themagnitude of F2 and its direction
.f
u = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
x
y
F2
5
4
3
F1 4 kN
F3 5 kN
f
30
2 Solutions 44918 1/21/09 12:01 PM Page 38
-
39
238. If and the resultant force acting on thegusset plate is
directed along the positive x axis, determinethe magnitudes of F2
and the resultant force.
f = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
x
y
F2
5
4
3
F1 4 kN
F3 5 kN
f
30
2 Solutions 44918 1/21/09 12:01 PM Page 39
-
40
239. Determine the magnitude of F1 and its direction so that the
resultant force is directed vertically upward andhas a magnitude of
800 N.
u
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
Ax
y
F1
400 N600 N
34
5
30
u
2 Solutions 44918 1/21/09 12:01 PM Page 40
-
41
*240. Determine the magnitude and direction
measuredcounterclockwise from the positive x axis of the
resultantforce of the three forces acting on the ring A. Take
and .u = 20F1 = 500 N
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
Ax
y
F1
400 N600 N
34
5
30
u
2 Solutions 44918 1/21/09 12:01 PM Page 41
-
42
241. Determine the magnitude and direction of FB sothat the
resultant force is directed along the positive y axisand has a
magnitude of 1500 N.
u
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
FB
x
y
B A
30FA 700 N
u
2 Solutions 44918 1/21/09 12:01 PM Page 42
-
43
242. Determine the magnitude and angle measuredcounterclockwise
from the positive y axis of the resultantforce acting on the
bracket if and .u = 20FB = 600 N
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
FB
x
y
B A
30FA 700 N
u
2 Solutions 44918 1/21/09 12:01 PM Page 43
-
44
243. If and , determine themagnitude of the resultant force
acting on the bracket andits direction measured clockwise from the
positive x axis.
F1 = 250 lbf = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F3 260 lb
F2 300 lb51213
34
5
x
yF1
f
2 Solutions 44918 1/21/09 12:01 PM Page 44
-
45
*244. If the magnitude of the resultant force acting onthe
bracket is 400 lb directed along the positive x axis,determine the
magnitude of F1 and its direction .f
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F3 260 lb
F2 300 lb51213
34
5
x
yF1
f
2 Solutions 44918 1/21/09 12:01 PM Page 45
-
46
245. If the resultant force acting on the bracket is to
bedirected along the positive x axis and the magnitude of F1
isrequired to be a minimum, determine the magnitudes of
theresultant force and F1.
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F3 260 lb
F2 300 lb51213
34
5
x
yF1
f
2 Solutions 44918 1/21/09 12:01 PM Page 46
-
47
246. The three concurrent forces acting on the screw eyeproduce
a resultant force . If and F1 is tobe 90 from F2 as shown,
determine the required magnitudeof F3 expressed in terms of F1 and
the angle .u
F2 = 23 F1FR = 0
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
y
x
60
30
F2
F3
F1
u
247. Determine the magnitude of FA and its direction so that the
resultant force is directed along the positive xaxis and has a
magnitude of 1250 N.
u
30
y
xO
B
A
FA
FB 800 N
u
2 Solutions 44918 1/21/09 12:01 PM Page 47
-
48
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
*248. Determine the magnitude and direction
measuredcounterclockwise from the positive x axis of the
resultantforce acting on the ring at O if and .u = 45FA = 750 N
30
y
xO
B
A
FA
FB 800 N
u
249. Determine the magnitude of the resultant forceand its
direction measured counterclockwise from thepositive x axis. F1 =
60 lb
F2 70 lb
F3 50 lb
y
x
60
45
1
21
2 Solutions 44918 1/21/09 12:01 PM Page 48
-
49
250. The three forces are applied to the bracket.Determine the
range of values for the magnitude of force Pso that the resultant
of the three forces does not exceed2400 N.
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
3000 N
800 N
P
90
60
2 Solutions 44918 1/21/09 12:01 PM Page 49
-
50
251. If and , determine the magnitudeof the resultant force
acting on the bracket and its directionmeasured clockwise from the
positive x axis.
f = 30F1 = 150 N
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
5
12 13
y
x
u
F3 260 N
F2 200 N
F1
f
30
2 Solutions 44918 1/21/09 12:01 PM Page 50
-
51
*252. If the magnitude of the resultant force acting onthe
bracket is to be 450 N directed along the positive u axis,determine
the magnitude of F1 and its direction .f
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
5
12 13
y
x
u
F3 260 N
F2 200 N
F1
f
30
2 Solutions 44918 1/21/09 12:01 PM Page 51
-
52
253. If the resultant force acting on the bracket isrequired to
be a minimum, determine the magnitudes of F1and the resultant
force. Set .f = 30
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
5
12 13
y
x
u
F3 260 N
F2 200 N
F1
f
30
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53
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
254. Three forces act on the bracket. Determine themagnitude and
direction of F2 so that the resultant force isdirected along the
positive u axis and has a magnitude of 50 lb.
u
x
y
u
12
5
13
F2
25
F3 52 lb
F1 80 lb
u
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54
255. If and , determine themagnitude and direction measured
clockwise from thepositive x axis of the resultant force of the
three forcesacting on the bracket.
u = 55F2 = 150 lb
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
x
y
u
12
5
13
F2
25
F3 52 lb
F1 80 lb
u
*256. The three concurrent forces acting on the postproduce a
resultant force . If , and F1 is tobe 90 from F2 as shown,
determine the required magnitudeof F3 expressed in terms of F1 and
the angle .u
F2 = 12 F1FR = 0
x
y
F1
F2F3
u
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55
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
257. Determine the magnitude of force F so that theresultant
force of the three forces is as small as possible.What is the
magnitude of this smallest resultant force?
F
8 kN
14 kN
4530
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56
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
258. Express each of the three forces acting on thebracket in
Cartesian vector form with respect to the x and yaxes. Determine
the magnitude and direction of F1 so thatthe resultant force is
directed along the positive axis andhas a magnitude of .FR = 600
N
xu
F2 350 N
F1
F3 100 N
y
x
x
30
30u
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57
259. Determine the coordinate angle for F2 and thenexpress each
force acting on the bracket as a Cartesianvector.
g
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
y
z
F2 600 N
F1 450 N
45
30
4560
x
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*260. Determine the magnitude and coordinate directionangles of
the resultant force acting on the bracket.
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
y
z
F2 600 N
F1 450 N
45
30
4560
x
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59
261. Express each force acting on the pipe assembly inCartesian
vector form.
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
z
y
x
5
34
F2 400 lb
F1 600 lb 120
60
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262. Determine the magnitude and direction of theresultant force
acting on the pipe assembly.
2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights
reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
z
y
x
5
34
F2 400 lb
F1 600 lb 120
60
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61
263. The force F acts on the bracket within the octantshown. If
, , and , determine thex, y, z components of F.
g = 45 b = 60F = 400 N
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F
y
z
x
a
b
g
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*264. The force F acts on the bracket within the octantshown. If
the magnitudes of the x and z components of Fare and ,
respectively, and ,determine the magnitude of F and its y
component. Also,find the coordinate direction angles and .ga
b = 60Fz = 600 NFx = 300 N
2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights
reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F
y
z
x
a
b
g
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265. The two forces F1 and F2 acting at A have aresultant force
of . Determine themagnitude and coordinate direction angles of
F2.
FR = 5-100k6 lb
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
y
x
F2
A
30
50
F1 60 lb
z
B
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
267. The spur gear is subjected to the two forces causedby
contact with other gears. Express each force as aCartesian
vector.
135
F1 50 lb
F2 180 lb
24
7
25
60
60
z
y
x
*268. The spur gear is subjected to the two forces causedby
contact with other gears. Determine the resultant of thetwo forces
and express the result as a Cartesian vector.
135
F1 50 lb
F2 180 lb
24
7
25
60
60
z
y
x
266. Determine the coordinate direction angles of theforce F1
and indicate them on the figure.
y
x
F2
A
30
50
F1 60 lb
z
B
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269. If the resultant force acting on the bracket is, determine
the magnitude
and coordinate direction angles of F.FR = 5-300i + 650j + 250k6
N
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reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F
F1 750 N
y
z
x
a
b
g
30 45
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270. If the resultant force acting on the bracket is to be,
determine the magnitude and coordinate
direction angles of F.FR = 5800j6 N
2010 Pearson Education, Inc., Upper Saddle River, NJ. All rights
reserved. This material is protected under all copyright laws as
they currentlyexist. No portion of this material may be reproduced,
in any form or by any means, without permission in writing from the
publisher.
F
F1 750 N
y
z
x
a
b
g
30 45
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