Homework10-Spring-2011-Solns

Homework10-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 10 Prepared by Oliver M. O’Reilly (oreilly@berkeley.edu) Sam“: Fits? we nudist o‘ek‘ttfmine: 65 ml. é, Ham: Ex, 2 Eco + £90 xgx = L‘ (anagx + Smegy) .- LL (Gaggx +SEWSEV) :12 REX 2: Lié:(’3§ng‘§x+®%gg\f) .. Lmé(“55fi8§x +eaagy) :b k : “MS’WB: LzsinG 65‘ 0 Hammer “new g Hm é: , k “ LLGBGB -~ Lisihg 72. 9 ” LgL13{n(8‘“8) "' L-‘CDDS‘ -£..,SiaS; é u x. t x k .+ (3. 70 m X n m x. 4. L‘LL S'mer} éx a I r m... kgx Lisingfi.»S) a" \ “" Ra’s’ 3° Luis”) (S‘ ’8) at 52 wxsi'mkoeéfmkfwt: 59¢ a»? as may gssnmgfi ; ’5 L, filfi‘ a, 5‘ »—.—. {Subw- H-kage’ ya a x» *4 gx 536?}(3864'1174387‘95) :1 L 2-2Cma] 4 g): r. 94%? Ex (wax) g Esqmiai 4Q, (m, 95 a W £652, g : @5563» § %Q%i.%&: V€Q®é§ ed 421 533%? («deg CELCL€Q(C(:\“os—,. u... 5 E V ==«~ Jr’s 4’ 93km: Erato) E % ELI?“ H 330 4" (‘3 K (1%” =3 “REY) w U \6 EA §&)x ("QESJ : go ”'" €24 2 g 93 a WP ’V’s rrRé’ =5 =2 FREE“ 2: 99 4, @g@xfp) {r 331 941?? when I? = R2?" (gxcfi) z; E933)”; EA -.- -IRQ [(956353 - 59»: Q {:33 mm was?“ ggxficosgg «9:13 :“Réi’z (:v—Cwé} {:34 ~50;ng A1? = -??@1[C039§,<+5m1@§33 if) r. El K ' ' :: Rc‘a‘cnagy -— RéSenQEx CL) (J1 m (:3 m Rélaazqs") ~ RéSsn(4§°) 7: o a can what 0. t: *Ré ,r gamma 8r 9" (3" : -Ré' ( l+ 3m(l+8’°)) names" No») me" :: -rz. mec anus": 5mg": VJ? Hm . (9: «2"?! Flam (6<Oosc&:¢¢€ 6(0143113 C3m ) Fina? V0 2 n Ré :7 5'93 SHSGC as R2254: 0100 \lgo : EEO "’ .‘JRB Iggy z: Vb. (‘Siflaugx 'l“ 6539; gy) + L9L(‘S€n6‘.§x 'f' CmB..§y) i E Saw”? it 8.0.1 9;, ’ : ég '3 ‘02” 3;"(91) ; ‘91 = i Sinteu) ' " 5‘“(°t‘91-) L Sh!9“9;) (I)ch diwok Mmflts Bahrain 6, and immacaemfia mwcdc'a 9": I '5} = -‘9 swag 3 é.cnce.)$:ncs.~eu) -- (dre'QSanlad sanders») t ,. Wm... .‘n—n 'T'" san(9.~9._) r Stuns. ~91.) = -5 ssnLed 9 52.6»(81)Sin(9.~9~) +(é,_-é.)ssnw;)aw.aed " v f‘ Sin(6."9:) r’ sm"t9.~eq szn~,e.-9,.) i am é. and ét etc-aw“ bath enspmbns above: t newmrgmwuk van—3, van), 6,: 9%, a,_=o $.93: 0, $2.: “VRIL .4, 9‘ = -. («‘14) 91.04) 1- 6x10) :- .. K-Vn) -212 r r L. 1. = -11 (“L ‘. =5 $03 = “.Yfldfia- 50 SHEETS ‘22-‘42 100 SHEETS 22-144 200 SHEETS 2244] @ Given: Rom” O‘Sk: Va =-3§x ’ g. : 5E7: RQJA'UG w m4 Gmtnllok‘m a w, particle. u: 2mm , CL:-?mnsc¢.“ fo 1- 2. (Game 9: + SinQ Qty) _\_’0 + R.té(-Scnq§x+eaoegv) 1. R‘épscm gx +C~=Q§fl 3 3., + R.('9+"€)(C-1Q§y-S€ncegx) =9 gm = g. + R.l§+{é)(&aq§y -S1n'~e§x) «- R.(é+‘.2)‘.Q(‘S{nQC‘/'C~Q_ + R.l5+'°e)é6CosQer—sinqu) = so + R,(§+€é)(cemegy—Scmegx)*R.lé+5e)1(cos'egx+5inqu Nod Hadék mamas; go = 0057:, yo = ugx :9 RE z-Vo. R§a~co Mamba: 8:0, Qaqo’)} u. =-3£=D é: +IO, é'=-_s_9_ afl'a' 11.1.7.4” “0:5 3 («M Ru'e = -2, $2.52 = +? (= «1) y... = ~3§x + ((.2.4)(+I6) — 2)(—§x) _-. 43-4 Ex Lima.) ‘ 3. an ' 5:: + (-flvuhjt-gx) —((-2‘+)((+_§_+(:.2_))) gr " 3 .3 .24. 2 Ex ‘- (Mimi) — ~ II. ,‘O-GG'Ey % W§WWJWWW E Pcob‘em 5mg Gt”, 9.33: :1 Nég 1 N2: “flies 956C =~ Q Decamme: E 99"“6: 9306 “mm 4 mm 9. a “so, 93. z déo meg Solute»: (; ’ 0 '5 {201mm ’ “5’an - 0 Q; :4 g =G»B\§x +3m9.§, m 56' “Econ z DSinQ5° - L g, =~Stn8L§x Himagy u.) = E a, -.-. -o'e; (é.-éa.)ssnte.-Ba.) — Dé..s‘ Caters.) s . 5"- m: thumb-0kg mm: M: 915w», 9. =‘+S°, 9,, zz=§o°, 3:.- OSin‘rS :L.‘ oa-nm From KW: r 3 [no ‘39“ = foo * £30 30 \:° 3 n I V‘co : *E r c z 0(W&§x+$in8t§y) } i ~ OLE.” J) ’ J 0 Jan 590 a f foo «.- ~L§3 J gm, = 399 o “0m: vco + 3m. = you 1' Em , This MW: zsmaa em”; 13$sz 91. = Lé‘Sine. + s'sms. 4- 58.6319. ¥ O O Memsnlue Mew {or S and 8. i =9 =13 = oéLSinww-en ) é. a 35mm. ~62.) é .. figmwpeq s s E i: “W 935:. = "Li. = saga ’ E‘Bc =9 . Hm) i I E E 53-“ Déa.($\n('7-1$)-CDS(‘RS)): 9-05" ’ é. 2 dad-(sac. { 99.02 = ~‘*§a rm... :0 :9 =9 £9“ :- buys—(+4.) + 15(Ji01=6fir rlsec“ 5°06 : “PE-t than", i 3 ...
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Homework10-Spring-2011-Solns - ME104: Engineering Mechanics...

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