pset1_sol - Static system: Its current output depends only...

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ME3015 PROBLEM SET #1 (25 points). SOLUTION 1. (a) Find the inverse Laplace transform for: 2 2 ) 1 ( 2 6 ) ( s s s s s F [Sol ] Partial fractional expansion: 2 ) 1 ( 3 1 1 2 ) ( s s s s F t t te e t t f 3 ) ( 1 2 ) ( (ANS) (b) Obtain ) 0 ( f and ) ( f . Use the initial and final value theorems. [Sol ] 1 / 1 / 2 1 / 2 / 6 1 lim 1 2 2 6 lim ) 1 ( 2 6 lim ) 0 ( 2 2 2 2 2 2 s s s s s s s s s s s s s f s s s 2 ) 1 ( 2 6 lim ) 1 ( 2 6 lim ) ( 2 2 0 2 2 0 s s s s s s s s f s s 2. Briefly explain the difference between static systems and dynamic systems. [Sol ] Dynamic system: a system is dynamic if its present output depends on past input.
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Unformatted text preview: Static system: Its current output depends only on current input. 3. Obtain the Laplace transform for the function shown below: T 2T 1 t O other T t T t f 2 1 ) ( ) ( 1 ) ( ) ( 2 2 sT sT T T st st e e s dt e dt e t f s F...
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This note was uploaded on 02/08/2012 for the course ME 3015 taught by Professor Ueda during the Fall '08 term at Georgia Tech.

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