Homework12-Spring-2011-Solns

Homework12-Spring-2011-Solns - ME104: Engineering Mechanics...

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Unformatted text preview: ME104: Engineering Mechanics 11 Spring Semester 2011 Solutions for Homework Set Number 12 Prepared by Oliver M. O’Reilly (oreilly@berkeley.edu) U09 Was) OW .3 gage) ESQ“: wad) “bghwelwé We, 0(- {ea bezwm {5,340, Re: «and 34mg: <sz Wfi‘é;(‘€. § 2 J (if g“ (a? ,M égfi 5%“ i. *M_, V Wumwww.mw Gx‘vm; MW block a mm»: m Wmtnc at; Such 9w? léCoHu}: maximum 3.1 n H h 24.! 1]: we 1: Ho ’ mo z 2%. X *ngY =3 g} XC’ «33%;?sz 1? H Eaewge + §xm§ (I°%E 2: Ifi + mamat- )1 'éafifjjio 23°) 2 Iagg. :: (-— ma 32.6338 + magsme) .— Mccoueé. we, F'sz ha 951% Eur R bur-Ur {orm’r Where.‘ Ix]: Rom VE- bfl‘hce Qaws: ($22 + £15 +mx‘)§ -,: «machbQ'r msinB I 2+ This Sides an Wm 55; magi:me Q 0;. £235 ééb) Ebb: CA .935} (:3 ' Farm 653 alcove: RICO 32.: 95"“: t 13:24 4. t5“ m 72;" ("3‘8'103“w9°fid3 ‘33 é”? 7 ‘3 amt ’CQ *t’ «Sigh cow‘eaparnq’s t5; Ego) 1.. Far amnY‘mS‘Ag'blnch: 3:11.43: =- % ( «EL 4- but) ‘7' Smb 9-8” Heme. 32.”. =2 1- W :2 t m48 fl? “9(a) -,-. max” 3 ,. 8 mefi 2x* ; -= .3, —- é: thmmine : g 8M6“ : A. E ‘T Kx‘neméficz -. Ga :8. embark/g peccmim: if: A A :rfiaEy-ngzz H 3? )c '6 @x 93¢, :: Yflcxfix +10%?) $5 3? 3 WE». *‘fivgr 4’ 2&5? «5%: + M'dwzéfix 4’ fig?) 1 c "the “3g? m3(®56§v +Sin9§x) + - dM3®58 W Gui; (mama + wing + (mg Sans ‘- mel (st/Ex § E § % r e g i é WWWQ,WwfiWW,W,L_M_WM“WWW,”WMM.._.~.W,WW.mm M»ywwwzmmpmmm,WMMWWWImmwmMWWWMWWWMWW;-MW» 5mz/Mna g.» as rs:- adsme» tit- E g E E 2 (M35333 + (- madL%3))@Y + (@3'n8»mdwt)§x% £122; “ , ; 3.. 3 m36m8( Rt‘ci )‘EY + (mam » mw“)<§x 1:. b 5%? QHEEYF» fi‘fiflf ME.” “30 faMEm’fi 3223444 MK} magma g ; z % é f: E 3 é : s fififiwfl My: 5 3 hi: «1“ __. gar-4‘6)“ : 403mm (1 ~é w M WQ New? “an mm a: $80+602 zqcfima ézwzé m mu" 2 (mgfcmfizcm) (R: «1‘ )1“ +. (mgfsfizgo) a: 2 Ge? - 33L (Neatons)t :3 m :- 1H~€ Mamas. 58 SHE?” 22-142 10% SfiEE‘FS 22-144 200 EHEEVS 22-14! \ l 2 mm , \V/I/ (/;\\ / sDehxm: gm! ad 38H mm 6:0,oudeao 33m = g»... (Ba.§2:)§e Solemn: KmanchS: L10 = (102g 4' 123% +4-mhk)’3§a a: z: 253?}; ; 2:: *Zhégx Haw ‘. MW 0 3?; ma Ana Mc 5° ~ me = "MEX + “ca Ev 3cm“; man 9 mcdlimlzr: m mew: Cduw; f=m§ =9 3» +33 -— mega = 2mh(«5§x ~ é‘ga) Q =33 ’5 ‘hé’axl'fi‘w En) = Ié'aéga Sash": £403.80 ‘0 mg: + {inc 4- 3.x l'WQEE) = 13:: I! W‘s me at. 3 We flaws above J we. Chitin Hm. gamma” €41,830” Rae +123; 2 m5 Rnx -r Rex Ifn- *' I'é'e 1- 4m};- h‘RBx - REX) ’3 I152 h(RG% a (21%) = 0 mi 3 0M: which ale m!- relcuonl’ hug. ? g Hm ( ‘2 i 58:: mg; a» Ragga 1- ,L’:(Ie,§.i, “ZMH)B§K y ¥ 1,, 2. 1 q; .. ,. I .. .. t i fin .. £73 g; + Rm, $5 + I“ (13:; 2mh)&§n I 3‘ Ma b e- " 22%;: Numbcls Mar: fifl"? mm, :32: .-.- .os Kant", I021}: O-ékam") man, mazlb Q51? . a; I ~ g/ Hence 8: H: _=_ 93-93 Mablscc‘j -% + .5 + Hun-U" WWW)!” ézoum9=°)w RaysRBaa'O) 33 2 332 g; + ,3... (-03 -— 2(I2)(4)“)(33-??3)§x 2.. 2(4) ._. {SS-86%;; - N'DBE,‘ § Rn- : ma E; + \ ( ~03 — zltz)('i)t)()3°?93) gx 1* — 2M? H 58-86Et - 22‘0?‘§x Hence: Ran : -' ZZ'O? Ex [Nculomfl 98H 2 -\|'03 Ex (Net-3W). mum aegis G‘Nm: OSS‘GX‘ (Effigy deInc; 3 aran gm) g? L a: msm o\= Rm L :2 360m m 2 {COKE} Solvls‘m .. L. 32:91: in: b§a+ (4+I)§x Z -.-. (d+%)é§3 \ 1‘32: 3 (fimxzk + 1": m1?) L. ' '7. go -. -mb(d+1)8§x + (m(d+"€) + IaQége 1 g E Staci: firflc 93c r.- mcxgx‘tMca *"gé‘r r3.» : §x~ma§y «.3 “(13ng —- mgaaeww‘ifiéz L g E :1 mg :a B. :1 W1ng + "101" {Iggy ”' m(d+’£)9ax mag; :10 :9 [3}; + “15ng " mac'nS (‘1 ‘* '3 if!" 318913: Rom Wee. Q. anguéd mm: (1%%+ $1535 : “"18ng " j"; Mince : Seihfla 9 5‘0 Faus- » ‘ 1" mt: Subfikw numb“ give-a sue) a a. »~ 5144mm?) Ea: i toa( €1.31 -- (.\2,+-\S)(-—31-£+) H 7: i315?” (“0%) EV ...
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Homework12-Spring-2011-Solns - ME104: Engineering Mechanics...

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