Suggested_Ch2_sol

# Suggested_Ch2_sol - 2.9 Determine by trigonometry the...

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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? ll-l 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 1200-lb force _ directed along the axis of the automobile. II? (750 M30200 ’5 “EII: 7;; .5 6:5 3:5 {LHW CJF ENE—5" —- -—-—--——- -1— EXMDE' _ 32?»?0 0‘: 39530 733,6- ‘ {#225 II 5 IIII F Lﬂ\~____A_/__________ 0F Car/MES II 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 GOO-N component perpendicular to member DF, determine the magnitude of P and its component parallel to DF. F P527» 305: 500” -P=_/2oo/v ‘1 A3; = [/2430 xv)?“ 30° IEIIIIIIIIIIIEEEI III-IIIIIII I 2.22 Cable AC exerts on beam AB 3 force P directed along line AC. Knowing that P must have a 350-lb 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 750-N component perpendicular to member I ABC, determine (a) the magnitude of the force P, (b) its component parallel to ABC. EH: Problem 2.23 | | I I A 65—40" 29 (6t) 7504’: P3520“ \ 60" F=Z/93INV . ,' " 7 Przxsen =4 "I *1“ (6)? CBC Pam IIIIIIIIIIII ‘r" -\ =(2m/W20 - - IIIIIIIIIIII 5:8; 206a N «C IIIIIIIIIIII I IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII II i IIIIIIIIIII IIIIIIIIIIIIIIIIIIIIIII II EE' :IIIIIIIIII:::::.= 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¢ ‘ F- (6002/) 5,1. 76":- +3795” I =§Fz + 777.w/+/6‘6. SW = +93%7l/ . 22721:: +4500N+€7?5/Y- +/0295/y I ' /oz9.6/v i fwd 77L: 93¢7N /oz9.6 A! 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-- IIIII-III 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 E = . E..:...:..::: :5! | . III_ I - 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. I. III! I - ° EH! III III. III?! IBIIIEHMEIIIEEMIIII ' IIIIIIIIll-IIIIIIlglnIIEEHMIEEI! —_--_-- — thllm 2.4! 2.48 The directions of the 60-lb 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 IIIIIIIII III. I IIIIIIIIIIIIIIIIIIIII IHEEIEIMHIIHIIHIIIII IIHIIIHIIEIEHIIIIIIIIII II IIIIIIIIIIIIIIIIII II! EEEIIMJMQ. HIIIIIII IIIIIIIIIIIMI-SIHIEIEMMEH IIIIIIIIIIIIIIIIIIIII . -IIIIIIIIIEIIIIIEMMHQNHELLLEEEEIIRIEII -IIIIIIIII IIIIIIIIIIIIIIIHIIIIIIII = IIIIIIIIIIIIIIHIMIHEHEIIIIEEIEIEI IIIIIIIIIIIIIIIIIIIIIIIIIIIII III - IIIIIIIIIIIIIIIIIIIIIIEEIIIIIIIII =III IIIIIIIIIIIIIIIIIII :IIII: II IIIIIIIIIIIIIIIIIIIIIIIII III. II -IIIIIIIIIIIIIIIIIIIIIIIIIIIIIII II -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 III E * - ~ IIIIIIIIIIIIIIIIIII ’ , I!!! I‘IIII IIIEIIIIEIEHE‘HMIWA _— .. I III‘MIE. .EHFIEHIHIIIIIHIZE- IIII :llllllIlllI Ell: Ina; AIMHMIIH ! . MI. Illﬁﬂﬂvﬂmﬂﬂﬂlﬂllislllllllll IIIIIIIIIIIIIII IIIIIIIIII IllElaﬁlﬂnﬁﬂﬂllﬂlEﬁilﬁﬁﬁlll IIlllllllIIIIEIIIIIIIIIIIII Ingenunmnnl IIIIIIII. II Imlgnamglllllnuglaagﬂ II III-IIIIIIIIIII lﬂ III “MEEEEWHIIIIEIIMEEI:=:II I Illﬂiﬁllllllllllll II IInn%=Im_ImIanﬁlmnnlgnm III I IIIIIII llﬁllllﬂ IIIIIII III II IIIIIImIIlsaalllllllmIIau . :I ~ 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 250-kg crate is supported by several rope-and-pulley arrangements as . ‘__l_ II _ II :—I E: (a) Eb: to) {a {a _ . .- I - I | I | | I _ _ | I I -' | | I. l -- . W: \$3 = (2.515 «ESQ/9, emf/5 ;} r 25152 xx ﬁlial-v1.3.- (a) a; (c) T w (e) I uHMIE‘IIII T- .-T 7. .. T T e I 3‘ T = :IMHMMHIII 7 ‘ ' ‘ — x I 1“ 2' .7‘ :r l III II:- IIHE II I' . II II... ””2952” WWW?” WWII” w=2m»/ w=2¢£22¥ IEEII III: 73/21!” Twat/M 7:457”- T=ax7~ 7:5/3/r1 III III 153 4!. 4504b crate is to be supported by the rope-and—pulley arrangement shown. Detemme the magnitude and direction of the force F that should be exerted on the ﬂea and of the rope. Illﬂﬁﬂllllllll Ill-llllllluglqullll Illagnmnlllnuzasllll lllmmua ; IE! , l I ﬂllﬂlll'“ IIIQE HIM-EIIHIIII ﬂIIIIﬂIIIEE ﬁll-ﬁlial. III-i3 -.---§Eﬁﬁiiiiﬁﬁﬁid r IMQMIIEEIIIIIIII IIQIIIIIIJIEI IIIIIIIII Illllll'lm -IIIIIIIIII -lllmnganau- Il-Illllllllll -lllnl:§mn lllll unma- . , . . - I ' v .1. E- ! HIE- ﬁ- LI i' I lamin- I mun III-III EEIIIIH 'E IEEEEI III-.- I III-IIIIIIE .- ...
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