MECH 431 Midterm, Spring 2012

Piller Me UBS Goring Lone 4) a) b) 4 Sybloun is type one im epen loop —r us ss erro Open Loo p sybhoun \ ) = Ke Ky Kay Cur S +t Ky ky, *4 = how 4G) 5-70 _ kp Moy Kan kyMantA KHss fer ror p impr shatel be ao4 =?) €ss -= k= becouse Una Erenap import v ~~) ON = Mer Ky Kung Umer gen Ky kurt = 0,0A Ky x~O04 = ky Ky > y( Kp -9,04) = 9.04 — reese behsttnn Tt ef ¢ rearnive te be Q Seconds indi ton te-obne re sre ents kek y aan Jean = ace sre Ae ee ep Kvn Ow re Piety nee, toy ey o=2r = _> A ky kun =. path leu, = => Atky =L =) a a wath prob foun b) we get kp = 0,02 if ky if negatre, wr clear cater, Whitton 5 yf fram isdi(l slabk crud. Far Athy en 20 Pee og Can LAU he wurde he b) RoLow nrelkavls C) syunplotes »Aome A) brealaway pow Le pooheA bebs-eer A onal 0 tr nd by AK =o Ocs)N) — Nes\Dus) = 0 ihe DE = Sls) =) (vs +4 I chs) - (2s -A\(s*+ s) =o DS Ls? + s*-Ls - 8 415 +4 -[r#-s 429-5] =O SD or+F(a-2 +A) t s(-442+1) + A zo cS —Lst tis 44 =e i) s-—s -as =o = a> (s - 05) = S40, (>) f= Os Ly an = 1,36 Sa= ) Augle of erttwLin peves } Apply aufle efor rm port infruilely war wero SX BA = S—-B, + Ig By — [5 =P" — (sre = AKO "tkuRvda” —~ —_-_ > — > pr ve oe Be = g= igot k 360 +30 +60 -JYo = Ago NGS) = Ss x4 f) K fer macgrok cdeby lity vntl, Rowe! AtkSus) = © sits «4 Aen) e ste tks ks «kK =0 e> s(4t%) 4 5(4-k) t ko a ° _ * > wecpinkctable far k=4 A « =? ouwlu ( ‘eh ber frud| 3g TH Peigvueun ) pair of tReolly ctible petes ; ea Imaginary Axis 3 peren elers be deeanine.- First Aelearcne aug le cowhst bu dron (Gk) + LSa%4 — Lg —] soho — Lighs > (0 tk 360 Léa) = POLK’ — 90+ ANE * NBS + 63° =46° Newt osc hare tr place he prle and Bere ot the courperrse/or L) Biseckor wrabroo| IL) pete corcellakon, > try pete cancellakon => vero om pre oA -3 ~-»> LizeT=$ — Fer angle conld button tebe “ ve chose pote at: Sdes a[— LU} tou (45+ 2) = = ,) 6s =) 2 -talesert) o x = 6,45 + - Ie s +4 At bk, ut deknutne Ke Using te angle ed beraw t Syy j_ Wael eee fem 1 fg). ds [10,45 St3 = 10,28 sy G = 1425. 2 SOAS a> Kea dugle covkibwhon of PO has & be UF* Yecoun Aur ply draur a bre frou Ses oslacde inkrsecks the Real avis at 46° SAe a 2S “7 \> zy ) > 4S ~ Cas ~ t 3 ~“ = G= k, (s-*) =-% We ge kp Prromgh the mag. cvilton: y leet Lsael _ 4 (SAes| | Saes~8| | 41 => Kp = Ss SBSE =) C= 396-(st4) Zz