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quiz02_soln - ME 375 Quiz#2 Fall 2010 A system has the...

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Unformatted text preview: ME 375 Quiz #2 Fall 2010 A system has the following equation of motion: jé+x=f(t) 1. Find the transfer function of the system; 2. Is this system stable, unstable, or marginally stable? 3. Find the free response with x(0) = 1 and 5(0) 2 1 ; 4. Find the forced response with f (t) = sin 3:; 590mm ; I Tl: : M 2 I ‘ PCS) 5"+( é)" PDQ/5 : 514“ :0 5%} so; = i) ”Pate/5 am: am All IM art‘s, g. 74% {a W%km% ma. 3. -?€F,.QC*) i5 (HA-Q Stamina 9F ‘55-{120 UV «(5):. =— . 7&0): £* [some fives-m9} + m) =0 ( (51‘5"9 KCS): ’KK‘O)+3?‘((5) XCS): ___‘S_.—(—_[__ 3* 7(a) : CUSf-Fstnf 3 “H 4:. WW&) 3 c1412 5064m‘w 6% 7‘51: W==0CUD by 3% Log i; @’“+t)xcs) : R3) 2 3 51-63?— XO‘): __5 1 . _ As+B (3+9 (SECS +5”) ' s=~+t “ 37+? 2 i__ .L...—%.____.._ A10 5—H 8’ 551-31 3:3; .3- (X00- 3 . J. t _3 —— ens rut- 6—0 8- l g Slflgt ja=-% ...
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