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Midterm_F08

# Midterm_F08 - E£3530 Midterm l(Wednesday 1(4pts Find the...

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Unformatted text preview: E£3530 Midterm l (Wednesday, October 15, 2008) 1. (4pts) Find the inverse Laplace transform for MS) 2 10(s — 1) 10(5 — 1) 52(3 + 10) F25) “ (s + 1)(52 + 2s + 3) and find f1(oo)and f2(oo). 2. (épts) Solve the following differential equation using Laplace transform 37 + 33'! + 2y = 1(0) 3/(0‘) = 9, )>(0‘) = 1- 3. (Bots) Find the transfer function for the following diagram 4. (4pts) Write the differential equation for the following dynamic system and find the transfer function from F (s) to X2(s). Friction, b A *WCS) 7:. Szgﬂo) :. ms 1. ‘SL +_ 5+”) H H 40+ 4195*” it‘~7—O—- )iLH F [3) 2 L ,2: "‘10 T w 2 QS+\)LS°:~Q5+3> 5+: 51Q5+3 l0 IOLSH) {Oﬁ Q— i—n :: + W 8—H (SJrULfQ T (5+9 ragga} rﬁUJLEl0€\$+f0€taﬂ3t+f§€ftsxﬁkgi&)I #lﬂod) ‘2: 90 [Cut/1nd“ (Me 'RKA Val)“: WUY‘QW 3‘.an S Ru» 33 no? I'M/HQ \$gW):o- i ‘72 TWKL L‘uflw Wmhrm E>vx 5.31%» (fit-.4: '{m gig/h SILYUO “sytcb “i603 +3<S>MM —y(\‘)) 4.2%“) 2 _}S__ \\ \\ o o 1 3+ 5 (31+ 3am) You) :- iiva 2 8‘ 5 #351“? S Q\$+1)Ls+23 s T H k __ V2,. Hf “V2; ‘ 39%?) ﬂ 5 5+2. R F1 Gr W5 C1"? ~———\$‘l W 72/ c3 .51... 1,: . 61' Y6) (0‘?) 1+GH ((19%) Res): n F G; M I+G~H+(LCT+F3M i +(C+?) H—G-H 4‘ 5172i F P -K\X\“KaiX.“XL\~lo,>"<,—b;?l 2MIXI KaKXtP‘XL) “Ah/I'LXL :3 ‘mlsert-(bd‘bygl+Q<1+K1)XIHKZO<LZF; 2X2 +K1KZHKZX‘2 Um \$11110; ms +Ki+“z) X653 ~K2><zC>JJFW CWSL‘LK") X20) W M) Aran Xian Mo "Hw 15* SEW“ .L ﬂ [mesﬂmms me UM'WLFKL ] XL“) 3 K2 H“ X193 ) 2” b "EEST (mm, 31% [Hays—u» mm.) (m2; 71%.) “K7. k..— ...
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