hw2_Solution

hw2_Solution - {CE 280 r "\$5? . - Homo“) h 2...

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Unformatted text preview: {CE 280 r "\$5? . - Homo“) h 2 §O\UJC\Ow/k€ 31.0» 905,5): Cylman'cal: P= 5x“? : 5mm“: W nah: MI aw; 4>= tan" (awm (-3.4: thm m «ﬁx #1 (5m C". radians (bth 2 = Z = 5 Cyh'ndnml: W573 , I.qu , 5) dﬁgmes are mm», as we”). saw r: W = = 551 9: 6034 (@):m-‘ (~%')= am*(~ég\=o.se4 Man-W hm" (1%): L244 ma Spherical: WW, 0594, 1.24% ') T(OH4,3\= Mandru‘ml: ‘3: W = WW =37? 3 4 W '9‘" - (5:7: orig: Z‘ 2 r 3 @Myﬁﬂﬁtﬂj Swami: 9:5x2+52+22'= 50314—414331 :W: 5 e: 05‘ ' (472‘) = cos" (—2-\ = 0317 (15.3%? if. ‘7 0' 7. 5pm:ch T6, 031?, 5% \$034,403:Cx/lt'ndn'cnl' 9=W‘= = W: 5 CD = tan" (1% = om W: 4.06% or .2314 2:2 = “lb Cylan8rfcu\1§(5,4.064 , —!o\ Swan». 5y; 9: cm" (\$4: 034F333 = 2.6% (b: tan"[=3‘a\= MHW‘: 4.0m or —2.2M \Sphericcﬂ , CVO‘MC‘rdV” xcpcos (PW d>= {3m (\$36 [5: 2:2 A???" 32 ﬂ 9 0*" ' Q3: 0 - z __ JEN“? Git? X1*51+z1 “‘ pl+zl \ , _.L- a; 1'- 'f—' CO\$(¢>\+OSm(¢>\ .. CDS() 1+2?- Qb: (‘5\:(&' 4' G2 :: ‘GXSTGON + " L ‘n c v "' W‘9M®+ OCO.(¢ '- W s“ 1* 2 WW 2 mm _ mettblz 2] 9 +2 \$pherw: p: xlhju-z‘ )(zrsinbkosm 3: sth (9) 3km) z = mode) a , W f ' 8(m3necos¢}‘+(rgw93sm(tmz r13?n7‘960\$2¢+r‘s'{n19\$'02 _ \k W ' : r - “d P Jﬁsinlekoslwﬁnzm _ .Sriswmn _ NM) V " r ’ '— P " ‘F " i : 8M9 ‘ G3 = 0 Q2 -32 ﬂ-(rs‘lnL'mSMWMFCIXQ :plsm(e\scn(<b‘)cos(e\ _ ,V " xL+g1+22 ‘— P1 " r1. : -sin(93s‘n(q>)cos (9) 0r = (’r‘ ~63: (€ -Q3Qx + (F- \$613+ (?- §>®z = @xsi‘nedoscb +®jsmh9§n¢>+Q2€o€9 : (31093 Siné 60s (1) + {0km 9 sin q) + (-smesin M039) Cos e 1 = SP0 9 (smemw- (10329 Sim) Ge : (é . 6» = (é. <23 m + (6 gm + (é @302: @xCOSecOsQ) mucosegm-stmg : (gm 9\ @039 Cos q; «omega» — (—smes'ind>a>s 93¢an = = §HQ®39(COS¢>+ §nesfn¢>3 at): (M): (M39, + (May + (\$239; = *QxSinGb‘) +Q3609W : : —Esu‘ne\;sih(b +(0\coe(6>\ : -€hésm A Sphen‘cul: ZS: stn9(smemsc15-coszésmdﬁhsmmsé(msMsmesMﬁ—smegm q> . _ a W A g? A Cﬂﬁes‘mn: 1101'4/33 ) a—WX~ x1‘31+212 (T) : Stow-4)“ I \$2 “ (-436) g :11 ii + ' {ham-«may? (mZu-HVHSXZ I 5 Oﬁu‘hdrmqli “Whig- ,33 Em- umsﬁ‘ﬂo A _W A M 5:; 44 n 42 A " \sti P W ¢ ' (mug? %\$+ s")th T(5,0q14, 3}) 15m : 51"n(o.qz4)(sm(om)ms(3153—gns1(0.q24)sm(3%§€ + A 8'30 (Oﬁlﬂﬁosw-QR?\(®S(%I)+SPn(MZ¥)sm( — smbﬂlﬂgd’ﬂo ~-_.———-— H :M32 6 - 0.384 3% 0.800 .2 , (m K: paw?) +3p(cosd>\3> + peos¢>sm¢>£ _ ‘ ii, X P~unaﬂl and): I 505\$:W. I 2:2. 5W, T0 938 ﬁH‘S, (003ier ‘Ulc Mln‘ndrical Mdhk sysfem when 2: 0 (50 in x-g plane} HUME, {310033; \ : 3;; ‘5 x W P -l-,5.__ “(b‘P‘K/‘T Ax: (if) = (QM Ap+(§'&Mo+ (i-ﬁ3Az=Apm(®)-A¢sin(¢\ x \ :; (pzsinmm Q o (39 CosCMRWKb .-: (5"ze mg?) _ 5““: 2‘ f A If _—_— 23X _ _. WE!~ - WG-33 3( X+3 W - \5x1482‘_ ﬁg: (3'33: AvﬁiﬂQSH Maﬁa»: (Pnganmq, + (®%¢\COS® = “WV?Y swxﬂgﬁygﬂ: 23‘ +3x2 ‘ x AZ: (2.33 = A2 = PCos¢\$in¢> = f1;5i'/(_Eﬁ?) = Clrhasim : K : JTLIST x9 (283%? (251+3X1\)g+ ‘ 1* 1' -. “EL. 2 _ x 6059: x1+31+21 I “my BX 180—6) : “ (\$6389 +6‘(’\$)se: BFSMQMQW ~ = (Vi‘smctw+"OBCosecosd>-(sm@)gmm= (X1+51+21X{%3%§1>-(%)%5 : «kw we?) -a\ 8V: (9-?) = ﬁcﬁh94m¢+ 39C059\$h¢>+ 560% = :{'p“k1nesm¢> Jr (0“;Ccsesrm + éme‘dos‘D = Wuz‘ \ in \ .. ‘ (X2*%2*21\(W,(WV W31 ’ ) 1+ “(+21 Ix1+31+121 3 + EZ= (Mk Mose — Besme : (r136039— (O\si‘n9: #5039 : = (S3Sin(%°)(‘/3) —3s§n(‘lo°\(lgj z 4]- .. = g Q O'7CZSunI1tS Wig? (b) m arm m. deG we : gag = re 1’73: 569 30%) = : ﬂ 7: 161% units 3:ch mmk (65 Such: Am AEHD 5'4 =st= ﬁvde rscnecﬁb : r‘zféhxede = “Loose Yiﬂb \1'2]: (3v[.max-(mgxﬂﬁgymy mm = = 33‘ 7* LIWunl‘ts1 "“‘““’“"“' g 53a ammo = L17»sz / 615\$“ng Am 0? ABM" St) = 5:13 = errde :> jodrge : we 112:3r- {11: — %1~‘1[t%»-<%>]= W “WW ‘sa (Mean = 4:}?SQtfm‘esz ) — — (a) The Mum 6F Hm (ﬂeck: (1V: rlstnédrdGM V: 56V: {ﬁrmeiréeﬂﬂ 5’ 111 3 3 s Q m gr‘drgsf'nweidtb: @LVWSGI‘XbXGﬂv/Z = [53}: _ gymevcososW-EW (gay ~ “Mum C5ch mfg} 4. (as tspsx ,—1sz<.\,334_¢g% 2 dV=Pdodd>dz 2: Jdv: ﬁfM¢dz 2) l = \ﬂh :2]? ‘1] = We, --1 M: r‘gt‘neaweaq, SW: SSfPa‘s‘inSdrdedd) 2: M 9w (§»:>(-mr;:)m%}= 3 a: \$552 (a) 0961, 09494115254 2 dV=Mgdz SW: jifwxdz : Sigmmdhﬁixdxdz: d5: 960M) 37 56%: prdpddﬁz \o ‘T 1 W. I fipdpdﬁb : WWW \ESOMSOMLSM 6A.: sown}ng Ismﬂ‘éj Us : “\$35;th (IBM: (63 ftéosgwg'lé‘b: : 25\$ad> : 25[<b\’31= 504* ‘..'......_.~. a. 157.0% 0E] ...
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This note was uploaded on 11/04/2009 for the course ECE 280 taught by Professor Mukkamala/udpa during the Spring '08 term at Michigan State University.

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hw2_Solution - {CE 280 r "\$5? . - Homo“) h 2...

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