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Homework13-Spring-2011-Solns

Homework13-Spring-2011-Solns - ME104 Engineering Mechanics...

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Unformatted text preview: ME104: Engineering Mechanics II Spring Semester 2011 Solutions for Homework Set Number 13 Prepared by Oliver M. O’Reilly ([email protected]) 50 SHEETS 22-142 I00 SHEETS 22-144 200 SHEETS 22-141 ® Gum: 1m nevus I33: 0 ¢ For R, m :m, 1 F“ a: 1-23 : mr_ m:m‘ 50, 2‘3 end I-kmin groaning. sch-Ron : I Khulna“ : — = ‘9‘ + aéy + Bée l8 9=6§3 k} = Iaéga’ 1': PM: ‘Wp(cﬁ¢§1+5m¢5x) f5 = my ~ Page N57 43 m Kine“: f 3 "La F5»)! ‘Masln¢ : mx J N =m8\$m¢ "19:5 (-rgpr, .-.- “Leia-gt II ﬁnd-35\$: ‘ . Etc-M Ho. bcﬂcnce ﬂows and “W? mmkaétl' (x2 ‘8?) we 5nd, 4 = 6 '-‘- 'l' mgr'Si-wd’ mr" +I§§ f; 3 mgSin¢ ( Ia; Ex mr"+Ia.=a um“, syn.- 1:22:9‘ C\‘ :0 d“ _. %Sin¢ f, a 2 ‘9 Pswlln =3 O :2 «3 = li-ismp 55; PM" = .529. Tm¢( m §§§ II a u mr‘w‘ 0-“ §§§ Ni O “71¢ m- Frauen 6191+ cam; mung mm m out 045w L momHQ me 9 \ NEE 9 Own“: 13a «a 36 um {9:0, 9 =\as° __°’\__ 3 Souk“: Show I: Feel: Coorahk‘mﬂ book. 253': x? , 11m: SEV g+§gx=ssn cm ic—éeam 958 Home in {(39+Ec) L§x= 359‘956 B. = I'LL ége why: In. = .4: ml} Shel! SW 12' 5.. m§ %( 559 + ggy) = RA 1;” «may + (Nnrws‘ma)§e tn: 9 -(=:c—=5n)x(Nn§%+ 119%) + “7'22 " (95.6 25.2)9‘ (Ncgk 4- ME!) = 1% Ei she 15:: who-ms i.§,5, nimble, 129.1%, mm» 32)- RN: enough amen h sake 5.1mm. mhnm. Houeav 5, Sic-wt av. no!- ‘ndepmévk'. Howler been»: Lex -.-_ gn -253 = 3§y_x_§x Luz MM .1 u . .. “L9 g" + LQQY = “DEE! +SE‘I “We .. .. ,. L8 2- 3&8 + xSinS Lét = 5:61:39 fgSins Rom We: fags: I116 .-. -1: ( [mane + 1245919) 4- 7n 1— 5)»? N3 = leicma é: éogomd 6:1350 :0 L5 : é. ftmLté = ° = __5é_ _ 5 J? 3-17.— Tks'l cm 3 MM 8g! 9 unknowns . Tie Sb‘ns‘ are i=‘s, '6': E55) i=+3J?'_v\7\_ L- mL a Hence 3a=+3J?')E§’x , BG= —(Lm)ﬁ‘§y 2L 7. L '7: WW I @VC‘H - «‘0de 03 «a 'mass ad (4: pawl-c Mo M \ www- uw (nu-m 95:41: («M "9/3) (20.“ OJ 0M“! f3 0‘ Scen‘n'oa : c7th Cali: CD Ce-Jo «A It”: 2“ ’56. + %(e_* ‘13) 2= go. +ééCQ-3'Qx) E = ’30. F {%(9-l(- Sx ‘§j) 4‘ ‘€K)) mmcﬁgz & = IE} I IE}: 5%‘(2— (Md; "'0 32% («Oahu yp= \2 + \$44.53 - 1(9.‘ 4%)) =0 w-‘at: ? Sud. ((04. “we 582M 6/03 4'0" gap. (P S‘ﬁ’kOl-‘I @010 QMoCHa. '. _\_/.P= 2 + QxC—éw) 2: Yb“ g+¥é§x = l’caé ) FED ‘L_H&€j 7, WE: tins; f’i’céj kg ———9 1N§j u E=mu5 Jﬂi gar-E; = WE; GA— 1 €415+Qv¢ -HJ— IV) Q) ’3'} 5,4 = H gc Q) E: a J“ 42‘ (4)4232 .. __ ~‘Z 33.2954; — :r" E2.- , Izz—= (“V3 gin/04’} Q) A W'- m° \$37: («Asz I» a“,er 5 :7- 3 '—‘ Zaml- — ‘Tégg -~ré2§j i :QXQ— Yée,‘ «{é‘ea ; (4.12% : 91.09 g -= (54:19) We) 3:;7- (M Qc-m-ré 14/: Ma «,2 W9 1* ?r= we => 75765 0 WM 3)) Given 1 K‘ng (Scuba Shown 5‘5“ Man «a keep maligﬁb‘e. mmamAg gnaw ,Q: m_ oek'dmme '- xo when 9 -_- ‘fo + 360 + 180°) 0-» 3&sz — _ 2 I 23— 25°+t€13K = x§*+a§v ﬂ = Iii GEE I11. z \‘1. WW:L mung emu.“ 1,, :9 =0 3‘ = — Régx + % @523 (51 II - ma(CJ>°( 51 4.5%: NE Fj\ “'7 _F5 :. Fix Ex 1- FS‘LEV 1:: u; duklr need M3 shaker: 1'!" worh Enega Harem += 5.9+ “Ev-1’9 —- W‘s-3". : O + o —- M8,:I .. — m Case: ' _ m - a}. _ a a a Sm“ Hm A = m m Sada: = 0_ k( E T + gamma 1- a I ) and 5'» Hz bhg- 2110350; canscxuul, T: 4’ :‘LI‘L‘L 6:1- ! L . "L n = {m ( Rte,” 4- LE; 6L 4- R98 Sine) "' \$111181- :: {(QI-Lz-I- mrf"+ mfhye“ + {mfz‘q'g‘ans 9n~kcmaﬁtbopbckrw and &=‘?°°: 2?: R§y+ ash, ‘|'1.l:u(ns’ Q: _—‘?0° , g: ng‘rggy 9:6. Hence Eu = mgCescc(R+%) = mcaod 7.. E! = m3Cm°<(R-% - masmd (3TH?) 1'1 + L(§'m1+ macnd( —- mas-Met 3172 "L "L + ‘g’mn‘e, - {mfg mill) + 4: mnﬂé,‘ (Sm("‘7°°)) Hum 7.ng C3300. + mgsmd 31m = '/s m—Ql L so éf = 68 and + \19 Trsmot T I Now an roucna mom,“ yo = \ng = —rz'e 9 Hence. \l = -Ré = ~WW The minus Sign L; km: in . Ex 4 O. Ev Ex Gm»: m, s 2.3 L1,. = —15005-£-lscc, Ex L ._ T m1: zolb 1910 = 9 y. m. L Dawning: { 9’. = “E? Soluh'on: I l— Mwmwlz" Bo = " {Ev x m.v..§x + o -= m,L vwéa 7. Ev I. l— ' 8 turns-,x-ame; :5. = 7.3x =0 )1- = {SJ E” ex g3 ﬂu = Enhance + Bord ‘ == 951% mg. + QIoZZéEE '3 mt‘} g? + qu'l. égz- 107.?— = mtl} q. H. I impar-t 5° '1" Not-v. 9‘6" Bo v': 03W -me§ muggy 1|} Soldier»: Lb hair: " ﬂ°¢fhr m.L Va: .1: ( “1-C— + nut-'76 7. n. 4:- :o 9 = u = 6mL Vlo m, L." + 3M.L"' . _ (35/ ) S O \$.bshhlm3 m..—.2/.\$lb, m1: zolb L..2 n. , v,°=-—lo 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22-14! a AMMD O 13'. Given “warm/n muﬂaeik L 9‘ ah'da rowan an Speed too (cm): .__.____—4 99» : ~h>o§§ , u. : 4;. L R=-2m L =~9m maths: in g“. dial» m4 :3 25K8 é) umhdbkbudusmw LR) ulnﬂudrik It pin-weld: 6 cool 59: 0'4 Pimd Gk H ’ qﬂ w an! 2 (-1.00 1' : Sokkon; Deﬁne 2 aroma-d. booes EV 1 Q» ‘3 @xd - 6: B —8 Ex 9 gxb ged d b b IE (2 E K é : Qt :- ~16 E2 MEWS") imdﬂzédga - mdL‘ona = -u+§e (Kam‘Sd). Probbn GI |39 Given: 1/. -_- Vmgx '2‘ :9 Y! v ,_ E Q. M. 1 - V ,. m_‘l I)!" OM: Manure: V and 93 §v 3°“’"°“‘ Ci: 0 g“ 3'95?th mpad' (MnmaXZ-a“) = ‘i m-gx + mil-5Q '1‘: a :5. + :( 1m. 4. 31m. ex 4 - Dudna tmpcd- ~6- dd 3‘} cm unsolved we neat tuck“: B H = IzzéEz 4- (5'5. ‘2?)X m,\l. + (Eg—§)XML\[—L Roi Edict: ll l'"'—" W l.- I r «- 4-(tn.+m) ‘ a: n, «n. _l:_ V», E2 M] + m1- 4' 33* afhr mace-1' : (“Sig H axis 5%) E = [— mu} + + in}; rah." ) “LEE 1?. u, ("ﬂ-HM)" l6 (m‘+m—J‘- = m‘l} [- 17-m1.+'+m\ we; "-8 "I‘d-"i1. Now ~. Dun'ha Cbuﬁ‘m ﬂinecr momenhun Curse/“Id 3 kl H ' [ muVmgx + m-Lvmgy ""me Q'So Hauler rmer mm bin meu'ej. mm {a Can’t/Nd: UJ'E-z : "H M; L {I L gnu-ring] E; ————-— H. -. mam- (7m. + tum) "ML" u I; 3 ,1 <\ A v m a: n——-"-—/ G- . “bum 612°\$ :1“: "1: E1 A???" GW1 Ber Salk Sum aw )1 and outtakes G: pZVol- poinkdg- 9 upon mm!- MIchdgmm m cadw L -. In: em? Dal'u'm‘me: 9 cl: Ht “SW Fo‘lou'ua Impad!‘ . ‘33 * zl'i—= (#23994 =0 §= (15“)633 "'21- "' “(gi‘x-TJéEz 5M3“? 0H? Hoe 09mg.“ .- ﬂa = 3+ (2-25.40me2 :. I We. 09mm». n /'\ pln s H \J m x x W3 at We" ﬁn \‘o Ourde c'on‘é— gamma. cal net‘ﬂsc‘rfa ‘1‘ En “mag? Rm 5‘“ " mE ou- - o a = (3% ea (g—agn)x- 5_y ._ 9. (593% = ‘ “(TRINQWEVS (B68454, -_- ﬁgmn‘a- m(%’1y)é§; “an: . v 6': " m(%‘=‘-)JZSL (:- + wig-=9”) macaw— é<o .oomhd, Tuning bauzagakcrspaeelguz «A mm)? gothuwgﬂawmb. ...
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