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test1 - of Test#1 r.STA’I‘ICS Nam I The system shown...

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Unformatted text preview: of} Test. {#1 _ r .STA’I‘ICS- . ' Nam:- ' I) The system shown beiow consists of two forces and a moment, find: a) the forces ahdmoment in Cartesian Codydinates, b) thé angle between the two forces, 0) a sihgle force—sipgie moment ,_-at the origin, d) can the system be reduCed to a single force? 6) if system momma to a single force, locate'the forco.‘ 3 V ‘ ‘ ' ' BomeooRAfisWERs _ j . - . ‘ " ‘I I 15::(9I92’q) ' 15 SCORE " s ~cs<a.q-.Q» 1 2) Given the forces shown, find: a) each force 111 Cartesian vector form, 1)) the magnitude and “R coordinate direction angles of F2 so that the resultant of She two forces acts along the ilosifive __ x—a‘xis and has a- magnitude of SOON, c) if the diseeme mm A to B IS 5131, What are the C coordinates of point B — _ . Q) I BOXINYOUR ANSWERS -. ' g? I . mag/53' :LZZ cows X’SQSSMS ”some Rimes C: F, :: x lea-ammo H '51.; log-Ramos .. 5"} ' ' ' ‘ Zflm: $5“ch 921%“ Famous pfigflf} agave—é 1S0 3 a; C5155: is: :63 sap 0133‘?) Fargéefl ~— _ Flopsfi~ (yeasts :13; 33%“ i: igz‘féz RHR26SSS+%%: F2. mm": ”6U ”‘53“? a”: £53 "I :~ 3) Three wires(DA, DB, DC) are connected at point D, Which is iocated 18 inches below point a? E. Knowing that the tension in cable DA is 1201133, find: a) the moment about the coordinate C"; . axes of the force cxcrted by the wire DA’, b) moment about the line EC (not (lirawn in) of the «’i tension in DA' 0) tension in the 6iher cables as well as the weight, W, for agaflfibrium. ' BOX IN YOUR ANSWERS " i . Test‘# . 1 STATICS It“. .-’ I II. .’ .1 .__. W—T 1' l; J?“ 14 (701,11. 1 f 11": ”1 {3 g“ ' 11‘" \J 1) The tensiie forceS11:1 three cables that exert a cencun‘ent set. of forceS at the. origin are F‘MGKN Fz— SKN, and F3: m10KN. Find: a) the angie B efforce 3 for which the resultant of the forces 15 along the intimated dashed line 13) write the 1esultant' 1n vector form 13011 IN YOUR ANSWERS . SCORE 10-1, 3 (8': (91% '4' 10‘ =' i , 1 { wzww {-9 “R: (L? 91:22 5’ 1. 113-11135; 635,111. (112 .110 5171 :35 2 "Mi 1 .70? _. {,c' : . - . mm. ,1 1. ”70712“ {215;} ”cost? C33 ~>cmqj H.071) 71:2 1 , U707! :. ~17: 1! 15353.?ng , I). 7:} 32:} SW? :9“: D"): "C: u “Tr 1:1). * 7% 1:1—7‘: I ‘1...» 1"" 10‘ ”K2 fl-figcaebeg ,1 New 11.512. gamma (330117111119: Case: 1.070701 24) 012325 1 ‘ a - (”0.3 ”Liv/31510611 9"“ C081" 1299419} 1 1, 1‘ 6:13:13? 3 174°C) 1: 05921070704 :27} . 19‘? ' 11:“ '--1 0va1 \ 1mm -' 1 - I 2) If the system of pulleys, cords, and' springs isin equilibrium, find: a) the temsionff) coming off thepulley arrangement and ieedimg to ring A, b) equiva1ent spring for springs 1 and 2, bmgs if mgr—9.0? and 3520.112 e) equivalent spring for 3, and the force in the equivalent see 4, 5, and 6, 6) weight, We, and fierce 1am equ‘syalent spring system to the left of ring A. r , « 2;" - . 1- . . . , __ ' I. I . BOX IN YOUR "ANSWERS KE=12001bslft ‘ K2=18001bslft ‘ -K3‘:45001bs/ft ' fi‘ e. -- Kfimoomsre . s K: ' ' \ " , '- K5215001bs/ft' i K5=5001bsfft ' Abewerss': segue) 2720 {59349 Teesxonzb‘t) ’ weighs» e: 3562 ‘Se I’Lucq (4,5353% 3905) Meq‘ce mews l 300 W9 A 3') For the three forces and two moments shown, find: a) 23.11 foree's and moments in Cartesian coordinates b) moment of the 501b force about the origin, 0) the projection of FAB about U. f _ _‘ the line GD (1) moment of FAB about line 033, e) replace the system by a single force and ‘ singie moment about 8 Can the system be reptaced by a single force? If so locate this " - ' force , ' : t , . _ -_ ‘ _. .. M‘K 2c? ' - , (r \b _ BOXIN YOUR ANSWERg ‘ t . grin): Vé'ffli)?‘ '15) . . . m M . . ._ . £950 ?'¥79.b041 0.415440, {SW/q - awe/blag?) WLJIK PSWZO’P-Dét {st 3.45.47“? L (LE 7% 84:1) meager-Q .. r' ' .- {—2 n WWI-”"1501 (”423: «[email protected]: fl' ‘2 42594235 ZH .3th Pro} @630 324.555? 74 ”MW 5 (1'19“?) 52- —"?'a"CRR»%'7120'?’j23;g’%j 1r 75,033 : WM : Rm 6053::r. Sirfig/ : “870 ngfi' +7.44 (if—3’1; ~2234 33k $35 ‘3 $2“? $613 31:)“ ‘1' ‘ . . 3 Emma smt F‘W‘i’w’b'g a) C. C . : \‘/i?0¢ + €301" * Qffi’rfiffir) 506(1'30) ‘2' Test #1 STATICS Name:- i) Three forces act on a bracket. The'direction of the 80113 forces may very, but: the angle between the forces IS always 500 Find: a) the value of a for which the resultant of the forces acting at A 13 directed horizontally to the 1eft,b) the component of the; 2601b force - along the x and y axes. . ‘ BOX m YOUR ANSWERS W962: 3) For :11? fear forces and two moments ‘showfi, find: a) all forces and moments in Cartesian form b) moment of the 20H) force about the coordinate axes, c) magnitude of the 1001b force about @xis 6) reduce system 19 a single force and moment at A, e) can system be reduced 11 impler sysiem? If 30,10eate simpler system. ,...;..-....... BOX IN YOUR NSWERS ‘ Y 6(11015) , I . ’4! 1fiWM;-;+ _‘ ~- 11-1~1 ‘ Egggfifif g'i‘( 1: 105 if; .. n “:2; - " ‘ ...
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