s01_ps07_sol

s01_ps07_sol - Engineers Computation Pad No. 5505 W 0! M 6!...

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Unformatted text preview: Engineers Computation Pad No. 5505 W 0! M 6! Sat. . 5P IUG- 255 1. Find and plot the step response of the system L1 L2 IOI Ha + u(t)-l_- whereL1=L2=2H,R1=29,andR2=3Q. Fit/‘54, M‘s—e. “I’M [be/D mflod {a er-Q Che. {or 5754644»: 4', loo/o: qfl +12,¢', — 1225.; = u = V‘Ge) 5H 4.7. COO/D? -R22,, 4- 12 0/5; +{E.+E<)£2 : O 4+ 'T'c; giant Skit? FQJFonM/ (I) find homo eneoq) $¢(UJ-/oq; (z) and aJ-fualar SoluHun,‘ (3) add, and Sad- +° NOV/“it! )HH-l‘o‘ Lbhd)’H°M. " m an 0:45 50/0; on. M—g—A I J4. To £344 keno 66160013 Jolmti'o‘tsz OSSUWQ 0: re 56+- ri7L+ Luna! Siob. 4-0 62x0 , “flan [ L, s + R‘ ‘R1 LLS+R|+RZ W M/s) Con 5 Mn 18 -121 /M 746N115 0L +1“, COVHFDHCH+ va’u95J -2 29+ 6’ Mb) = [25+2 ‘7. Engineers Computation Pad N0. 5505 W 65L M 3! The. Came—‘en‘sh‘g \/C1(ue$ «#2 7,504 by o = Mfmlsfl : (“Hugs”) _ (-a)[—2) : ‘1‘5 4- I415 4- 4 Ti“... raps a-L fliS-IejoaL/ow are s, = 'ovf) 51. = '3 m ckaquJ-Qrid 44C CH Hx‘fln JOIU‘U gr: vtclrors f5 = 'O/r.’ M (-0,5) = [Jz ‘3] :17 a: = (0’ an; mus/ole) II] (or an] mun—5Ple.) mrcfonz, flu 7e¢<r¢l Aomojemeous sold-Jon is 5.6L») _ z -o.5£ ’ -3{ [Wk + 4 [-je Ea/‘HGM'4’ Sch-Hon 7° Fina? M Fal'LI'LM/av SQIU‘HOH, 59+ UK Sold-Han is A Qanxkny‘. Than a SQHSHCJ +12. -2. L. _ [I "‘22 RN42: (:2. O I, and (I asswwc Par-Hqu qr SoluHon Engineer's Computation Pad No. 5505 @ PogLE’M 5| wiH. Componen+ values, {:2 ‘flMfl ‘2 5' c2 0 Solv‘ouj, [NH = 674 J 51/44 = [/3 T0412! 50/U'H‘OIA TAIL So/u‘Hon ran/+4041“ SoluHous: £,/{—) _ (11/6) I, t #0 Tina ihH’ié‘ condi-Hcms out. 6"“) ° 6,119) =° Since HM. inf-HM unreal {vL/oUL Hu. Malachi! ,‘s cm. Tkerefone, / 3 Q, ,0 u \N (n‘ TWIN gene, 404-“ 4,1 ’1") [‘2 —°v51§' [I —3+ [We] 2: _ i e g .1. Q + £7.19 5 ’ 3o *2- "3 o Engineer's Computation Pad No. 5505 film} Step response. gs(t) 0 5 10 15 20 Time, 1 (sec) 2. For the input signal 0, t<0 u(t)= 2, 0gt<1 —1,t21 find and plot the output y(t), using superposition. No—i—e «Hui uH) is a Jaw 04 slaps: a”): 2 rifl- 3T/f-I) ‘7; Engineer's Computation Pad No. 5505 £3311} '( — SI Thre'cOM, 31+): 2 351+) —3 gal-bl) = O (2540) -tzré = Z-/_Ze +36 5 { -o,r-t: = 2—_/_Le +32 3‘ (6' -o.5’-e" —3 + I3.e ) 6' Response. y(t) ~° .0 .o .o .o N o N J: a) a: .6 b -5 0 5 10 15 Time, t (sec) -31‘ (ofié4a> -3‘6 - -l __§e3(t) (t 7,2) 20 ...
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This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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s01_ps07_sol - Engineers Computation Pad No. 5505 W 0! M 6!...

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