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Unformatted text preview: 2.9 Determine by trigonometry the magnitude of the force P so that the resultant of
the two forces applied at A is vertical. What is the corresponding magnitude of the
resultant? lll mbllm 2.10 I 2.10 A disabled automobile ls pulled by means of two ropes as shown. Knowing
that the tension in rope AB is 750 lb, determine by trigonometry the tension in rope . AC and the value of a so that the resultant force exerted at A is a 1200lb force
_ directed along the axis of the automobile. II? (750 M30200 ’5 “EII: 7;; .5 6:5 3:5 {LHW CJF ENE—5"
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I 556.55%; ot=3953a "" E 2.21 The hydraulic cylinder GE exerts on member DF 3 force P directed along line
GE. Knowing that P must have a GOON component perpendicular to member DF,
determine the magnitude of P and its component parallel to DF. F
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2.22 Cable AC exerts on beam AB 3 force P directed along line AC. Knowing that P must have a 350lb vertical component, determine (a) the magnitude of the force
P, (b) its horizontal component. (a) Foxz 29:5/0 n
5 = P5”; ﬂ? {2m 45):», a" 4} 2.23 The hydraulic cylinder BD exerts on member ABC a force P directed along
line BD. Knowing that P must have a 750N component perpendicular to member I
ABC, determine (a) the magnitude of the force P, (b) its component parallel to ABC. EH: Problem 2.23
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III ' * ' 2.1 and 2.2 Determine graphically the magnitude and direction of the resultant of
the two forces shown, using (a) the parallelogram laIw, (b) the triangle rule. I I .1900.” 5266'
 ' F.= (900/yjzosao°?=+7729/t/ 61:(700ﬂjg'430‘ =+96’00M 600"” [496619
. . 3.: F [goo/v) car 76‘"— =+I5£3¢
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6/» 47. 76 2.32 through 2.35 Two cables are tied together at C and loaded as shown.
Determine the tension in AC and BC. I ._ .; mu IIIIIIII Elllﬂllllll IIIIIIIIIII Hilﬂiiigl
_——————— 2.36 Two cables are tied together at C and loaded as shown. Knowing that P = 500
N and a= 60°, determine the tension in AC and BC. . a
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 a II. roblem 2.47 I 2.4 7 The force P is applied to a small wheel that rolls on the cable ACB. Knowing
II. ‘ I that the tensron in both parts of the cable is 750 N, determine the magnitude and I direction of P.
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—__ — thllm 2.4! 2.48 The directions of the 60lb forces may vary, but the angle between the forces is
always 45 °. Determine the value of a for which the resultant of the forces acting
W at A is directed vertically upward. I I A I I . ' Haf' I
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IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII 2.50 A movable bin and its contents weigh 700 lb. Determine the shortest chain
sling ACB that may be used to lift the loaded bin if the tension in the'chain is not to exceed 12501b. III I
l. ‘ roblem 2.50 I
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~ In IIIIII shown. Determine for each arrangement the tension in the rope. (The tension in r
  l the rope is the same on each side of a simple pulley. This can be proved by the ‘ methods of Chap. 4.) I’l‘Problem 2.51 E 2.51 A 250kg crate is supported by several ropeandpulley arrangements as
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III III 153 4!. 4504b crate is to be supported by the ropeand—pulley arrangement shown.
Detemme the magnitude and direction of the force F that should be exerted on the ﬂea and of the rope. Illﬂﬁﬂllllllll
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 Fall '09

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