umn ME 3332 HW 6 soln (Hogan) Spring 2011

umn ME 3332 HW 6 soln (Hogan) Spring 2011 - Problem[PH Fwd...

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Unformatted text preview: Problem [PH Fwd Wm Uni-BMW «1+ I; mi 9st 0%me as amt 3.1% u, MW 0%., aid-er vurhblws qmm. «no —' r Assméions: Incomptessibb ‘wa 5+cadq «how mu; sud «Haw Drum +he, con-{ml WNW Eur-PW mutt-«t gar-Faces on normal 4‘5 57W" W“ “m °‘ Mdmnfimp wrung“ N55 flow; 90 mpphj m5 SFOWUMHOh OF RITA”. (é‘m, bi: IN : Dm '3 g _.= = __ a. + O 3+ ggdfi- + ngdk as Cu Since-wa .‘r Shack-.1) g; :5. MmJ asst/mm 3 damn: ckgorduhm: o= Sm eta cs AWN 9W0”! oan+ro1 svrfous: U .n d5 0 z gave“. + Kw-MA * H: a CS} “We 06‘ is“ {HM mml “Sum 50 55-5,: 4/1. (35er (LEM!va nomai 4:: gut—Em, so V n : V M “moss iocthans‘ Erg 5mm #9“: EV“ 1-H: ‘FIOUJ Smuwz’ {+15- WKDCJLJ FTC-sh, CUT-L Wifcmn (a) defermfl'fl ‘H‘vQ- I m+ haw {THC a4 Lye-RF “an” L‘rl' A savm-‘q Heaéua Incompressfbfa— Irw.‘$t,:d Am“ KIT. For mass +0 fiw 63m 0'9- N04“ "(M N “W "‘3 swul; B .- 51-0 D»: L K. 7:0: 3%»; +39%. cs} 0 Rdhorrvcm, w m mtg-(mama wer 41w rah Aaron M. "mus, +w¥wm «I: [:A mus-i me equal 46 +he. cs «4’ L94) smug, +5“: mam] RPMWS +11. flu}: ad each o-S . we, could m‘rz‘uooi mermflqr conclvsl‘on kg 0595va m-fm’o‘f mus-Flw a m = mg; mg no; od- Ln, M2 N. AB m "5: ya {19 a «—V‘B‘ 5mm Moor-y‘i‘es m Uhcht—Mwar’mJ donoL damp!” :"5 as we“) fieq Com lab-Rm au+ 1b ob+a.rn-. SWE‘WC‘AL‘fi‘z -‘= M 32M. “SUBECU‘B = WAAA'WBAD 3" “5“” H. A“ fly: SEN“; -U3haw] =- 8“) (VAN nUEhBE = $0: “:1 : [000.50440—1333 Problem 8-]: Flow [-‘nwmpmasa'bld erfl-ar-s u+ubQ. D‘fdtwer (f) 04- Um‘ waflwlfm ‘Ihe, Ucrbc. Ave. ' affirm wince}? \l ‘7’“? Pmnk’ "AM "k “941 5+R+b nth-3. Derive, afarnwfa gm” VML r'n fifths 0': DJ ’7) and Vlw,_ PM VHF), Mn=il4q [112:5- U ‘2 P5 0/1} Raf D"- ‘GM’ “War-[W ’34 l/ VIM " 00 3+5 M n fl V[ J} z — C l. I ll —- 0073541131”- In compress-Wth1 g: WSW shawl 3,: 9.: “13+ 0’31 }£:gCrE l—Dflou) 3. :0 I 96 3 9+ (“71* WQdA:ozggygda L Let f as 3 £3.30 InumSskhq mi 3“ Hum O : S $.13. (1A .—. SV‘ 41‘ cu“ + {33%; {H cs 1 3' 9:77' was M m I. vi is m w wwSIJrcmM' 1. 21 = [U.l[n.{co59, = M eke" Y: ‘ {9:0 1“:- V7“ V :5 004 If 06) “'4‘” WWW g? Egglv" ws (9:): t¢> ———a" 1* 14‘ we asst/I've udao'kes unnervme +a mama Surf‘ms- Time, (a) became/s ; 0 = Sfi—uAAAI 4%“: or SW“ = Evian m i l I From {Marnrwwi:rmJ V, = vm, : Lang-+0“. Sub No (3‘s: CH) "$7— 5M CW35”5¢'HIOM‘ atybI/Imf am: KN Ar AA = 17 (we? —<r'“”*fl 2:3\ '3 r =wFJ+rM+Q§3J3+wr'%.-] = awmr' cm : Mnrr I m {hm-4m air-90- (51 ThanJ ~H~cf rc-J comb" Rm M s.{orrhelmr2£rn1+a (53 a5: DAL A 0/3.. ‘ DA} Us. A3. I ngr‘) . garrdv- :Umgmro Eyhd mmS( N * o r = - 1-— AJ— r=o D :0 R10 60 (H3 becom: l3— AHUAW a:— ‘41 m; [WP-s} dr (‘5 mo Toowknie fiemm‘mf, {9* a: 1-9-5? J 33> dd : ~3 dr D AISOYD‘FD'Hvd-J u_‘:t'%rvl = _?;r_ D Pant-{k I'n-kqml N): 0A 0/} 1 I [h / Hm“ c ,2 _D '11— 94' n a 3% 3\ dr (;)(1»[33(1—53 (“Eda :0 r how mm“ W LIL—1 UK cm 9/3- D/ ‘/ 9~ } \ -07“ uvxundu :: Q) n" W] .. ) [9 LL h -u du SIMPII‘FUS and fmqme" 0/3. D]; 0/; ‘ 1 /n '3“ [112!- 0 yr} 94- n '- SPU‘EB dr: wig-EU. Om HL‘KUK du “'0 _ r s 0 r“ 0 0/:— D “H 2» 9-11,? {3— Pj RU- F6 : P— u .. L‘ (n+1) Ll (Q.n+1\ rzo “.9? UN; “23‘ ,l_, -F—l—- (Ll—H = L, {EH} fawn I UM, = [1L _. ..._ “ELM (0+ '3 [arm-D [’[0‘1 ram [’3 O ['0 R gr “ginsJ 1J3.E/ OF-n‘om COUIA MSG munchmsromnm +0 U/v V . a (1‘ 1 / v~ n (["é\ U (“Damn 6m» r Q-n'a' Velocity [arm’s] LU J:- D D [\J D _L C}! [1 [1.[15 [1.1 [1.15 [1.2 [1.25 Radius [cm] [1.3 [1.35 Pmbkvm B—D—i Tank. Shown oomoms Sufi wa—Eer‘ f“”‘°‘””\ 0dr §’£"'9‘9w- M16" "3“" 5m”? a“. nv‘lm mixmc‘ mwuqhhd. Uelurnt. m+ank f5 Can-‘m- “130$ mm M’ "KDW' I 0% Fmri rm» in 4mm ‘4‘ mm) s’tdwmul m +ank3, and €w~ bB‘Rni'ev-F We? densqy m M (cg d We rectum! For- 94% 9%ij $041,061), mini Flo-\mloa's Tmnspufi M. a} we Com”; OLSSUMez oh.” c MM) 5mm, g=g[+\1 The, m, {n +nqs46m .‘s Mowing) bu’c +‘re UDIUM :3 twin H7 “w Volume, {5 {beach {at Raf]ng {lag-t #m s-élod W El 4": f” tramwang M' “OW-“(’5 9m =r’ ecu-E) AM W Finn aimed. We om min : RU “Hi” “My 5mm = 99.» Shaw, “Hih’Q'OUlc, (PG C0“ BONE +5 Combil‘éa'. 61”}:3; =5 finu+=379= 5’.» I 3”) 0a: rim = 3 firm 3:» bx: Sm“, m are, Warts-Pm} 1‘» +h¢ +«mk msflq, which dependsm mamJ a wuss baloney is uppmfrffat‘rb- We, use, +he W_\_u_S_$_ £3mufml2m 04 4h» Emflrold's +I‘cmspar4 m, "‘1 whidn bu mi 5,1513%). my . D}- __9_ u. H mm- :HSS’d‘oW 9.,edA ‘ 03 Q5 \No Com omega R W”! Wle oon4m‘n3w3 ‘Hw (It/rd in 'fh‘i'hmi +h0rl' is mom-«Ho mas and ou’rluf's (for smFlIc-‘n‘xj 0+. dul-efmm'nj {'19 4mm) :15 Shah/r): Na, hm) {hm fhoumfi‘q {S "V'de MHWHHJTX +M+GHIL 'TC-n‘s [Wit-“"55 M g 3i 9093;07— m mssfi rs m+ ammo“ of Iota-Non M “9/ WWW“ W'M- “W H can be m £96m We, Mum mm: a, _ §_ _ 1.3.. 343m- fifigw .. 3+in or} CU- fiflmw} volvmc. {Sth as a co‘fiS‘iflM. S.‘hc,e 3+ dogghl Wd m “m W??th Yrcrm dgrwdtveqo‘wm‘: J 3+ Canba 3, _ 'as who“ "1+3; C4 Combinmas out-Um (n: 02M; + SHQM m 05 BM, mime M m+eqml MW conJI-c] Surfm? Z + gglifi'ggdbxg. or: A' A? m :5 A” (“a M 0074111 Uolm new [5 now. Thus: 3.3 = lmllmlwsC9A= u. cfif‘fl’}: *UJ AFA- O'I’ A}; f5 19%.... 50 9:0; xii-g; : Nflfnrkcasro} = v9, 85$!de = " gngm 6"“ + ggtvidAL h AI A; She, flow .3 well mud, and MSUm-‘m‘ Velodw‘q Profiles We Hal-j nor— V aepe-ndsw W (1’7 liar-3.,H fic+urh~q +hm‘ OW... '-= "Sun U1 SCUM 4' ga—UtgiAL c “SWUIA‘ " Stun-A; (—3 \ Combmnfin‘m (Hf-“n (l3 qu‘eldf'. 0 = 41—: + aim; —g..,A,u, 9;“ : 9°“) Ark}. : ‘ SJ‘UCL its MI‘XQA) gm: f. Tim‘s olives: -. g5 ' ‘z. , Ov¥BT+SH_§wy 983$ :18 Wham-1, S-‘not g .‘s a-Pmch 04‘ +oh! I -—— : CH 33‘. ‘* 3+" :,\ To Ashram SCH we Solve (3) wk oh :5 cm on; §gParadt Uar was a 45+ g: = a d4: ’3 - 9w) v .98— : “Jil- JIHCG bland, are, “0+ 441MB. {HA ’°‘ ’ ln[§-3w\=“-—- +c, {q} \Ieurmus Sofu’rrons are, Pei-Sible. 5mm, mm HSMC‘W 55mP’3 9°!” 19°" Ci “7 we" can ¥rhd SC+3~ firan $144.3“, sub m+o (H51 In [9; 4‘9) —; o M, => C 7—"[nh-‘J-fiu-Stu}:1H[0-9°§W\=iflC0.9-3Hn(fufl=\h(¥w\—Lgoqfi So +M-lr: “(3' 3A = “a; + \n (M 4.60% Solve Rit- 4': (“(3 —3w\ -ln [?w\ + [.13qu :z A}; .-n_ 4‘}: = A My, v ' _ .. b‘ } {1- :Enfiwax “50011.; ('5\ To 9% t 02: 5’: l.®l%m J solo “is .wp (5‘): \n k LGBOH a J“: V .. [OOI-J‘ +f60qH = "'— V ( 5 l; Entoomhl 50mg : i -6 “1709445010 __ .3. Makes 5mm 0+ In any; I- ‘lq H .— £ 5 a J; r UU[W65 (v are;qu hm +5 C(JmLc .‘nwenk: FWM (J43 , mtg-SM -*2;o't * C’ E, 7' 91 4 \ ‘ 't- mtg-f: c, 4 Mm It, +0 «let {:21 P;—‘3w =ke° =1: = l.1$u~3w:6.:mgu) so: 3%» c 0-199“: 684‘?”- (H g :I 3 Com ‘oe plDHEL-l !Par 4 4° W’rfi-+hc+fw\e Soluhon. [fig/(m4) = [Home _'Q’/D,—£ )=ln(o.a_3+{n{€ 3 ln(9/§w—H = ~t.goqq -gji 1.2 1.13 1.02 Problem 3* 3'- Plol' m “cm‘emkw pw “KL ‘3‘ PW 9“ Pernim PM magma 1‘??le .‘s mcreased bw CK *5..ch B? 3- Ot'l'a.“ ’5 M my, aim») at eel oi eom mammal +1ch imam“ ¥:e,lel g = um: i. . MPG/‘Rare’ all FUCHS we “lac-4.x in 1% t dfi‘eoliom 30 +0 obi-om acmlem-licn :n ’3 J Nb FHJ +0 C¢lou[q{-¢ H “WW3MIH1 ad fiadn pom}. Us: HM. (Ola-HWSMP LOT fiream \ m, excelmlton '- _ 325 — 3---S- :B—g'éuav 09-U5}$ (5mm Us- 9+: «5 as fir??? in +5.3 Case, 5 is snmflxj Hue, arc direction (?\= EU): 0.6: UK ‘5: j V}( — U. and 3m“, All! is onlq arena-lion o-P x, we can Leda; CW. 0.. :: __ [A ' u dx. smote, we: Cl°b'+ “We 0m OLMl‘l‘lr'le firm-4mm 41n- Utfl, m can some, (,1 nmfiml‘! 03: QAclnpoin-l- [l +0 13% t NDme Ianrez -— U. as}: “x Uta-mac. ‘8 M Ali/A x;s;n minglinch 5:0 7- r 0'3 ‘3’ El: :3 Emma 54W (flat-Warn? *0 duel-a) I "' ' Emmplo Caicdfottmz S I ed nib X m rnnpla‘ 5 ho l x m-EMVOn: o ._ _ [Ora-«LQQ m “5 (L ' '0'9-‘( ,. ): 1HH‘B {lg} - ‘4} 1°"; ‘ 71-9 of: ~ nun (um, win} wank cm wah'l-[CXN We MATLAB, dune IV) Mae] e-l'c..- g.» Sacand ‘ KMXX 7- 29.4le3 (multpluj each UL Value, J Plo‘b “PM WM“ we). NOTE: 2 solutions are possible, depending on whether you use the closed interval [0 12] inches or [1 13] inches for choosing the value of Un. Using x = [O 12] inches 13mm 10000 3000 0000 4000 2000 x Acceleration [W52] 0 0.2 0.4 0.0 Pnsitic-n [ft] Using x = [1 13] inches 12000 10000 3000 5000 4000 2000 X Acceleration [W5 ] 0.1 0.2 0.3 0.4 0.5 0.0 0.? 0.0 Pusitionlfi] 0.0 0.9 .—L ...
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