ME430_Quiz4_solution

ME430_Quiz4_solution - ~/ S 7-+ 2-( vV t1 + 1 " ,...

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NAME: SOLVTlo l \ ) ME 430 I ECE 451 Winter 2010 Quiz #4 1) A system with input f(t) and output x(t) has the following transfer function: 8 T( s) = -i-+-4-s-+-1-6 a) Find the final value for x(t) if f(t) is a unit step input, and ~{u(t)} = 1/s (5 points) $ 1) "2 - ": 0 -~ ~ ~10- c ;, ( , ! C k < - l \ : o~o 0 J 1.~ lI , Jv€ . - -r~r i <4: L ck c l z: o t l l " f po l e (J (J{/q){\ Il , M ft _ //, - . " I 0' " ~ = : - 3 - : : : : - z .. ± - t f ~~ l } , 1J "' t . j { f ) I t - 4 ()O f) -f .. /j O j ( s ' - - t l.h - / f h) I ~ ::: : - 2 - ~ z . IT ~ ! I ) ~ - 2 : : ' 3,L (0 j - (?'OJ = - - r ) b) Find the ' Settling time within 2% of steady-state value.
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Unformatted text preview: ~/ S 7-+ 2-( vV t1 + 1 " , <1. .-; s" L-l-t-I s + I~-r 3--% ::. :-i!-1. 0 ~ :::: :-_~ = = L( (! Nf l (~)~ ~ ,,---------~ L 2 .-" /0 \) ~-I = = 2s ~ · ~r) ( ~0---LJ / \j"'\1Af ~ w " : : c c(7 I I 8 T(s) =-s2-+-3-s-+-8 2?(2EJ ~ 3 ? == 4R < . \ ~ Uf\ JvrJ(j.)y;J...
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This note was uploaded on 03/20/2010 for the course ME 450 taught by Professor Liburdy during the Spring '08 term at Oregon State.

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