modeling10 - 3 1 9 1 Y s s s s X s s s s + + + = + + +...

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Modeling Q UESTION 10 For the systems described by the differential equations below, determine the transfer functions ( 29 ( 29 Y s X s . a. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 9 7 7 3 y t y t y t y t x t x t x t x t + + + = + + + b. ( 29 ( 29 ( 29 ( 29 ( 29 6 3 8 y t y t y t x t x t + + = + Taking the Laplace transform of ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 9 7 7 3 y t y t y t y t x t x t x t x t + + + = + + + with zero initial conditions: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 2 3 2 9 7 7 3 s Y s s Y s sY s Y s s X s s X s sX s X s + + + = + + + Solving for the transfer function, ( 29 ( 29 3 2 3 2 7 7
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Unformatted text preview: 3 1 9 1 Y s s s s X s s s s + + + = + + + Taking the Laplace transform of ( 29 ( 29 ( 29 ( 29 ( 29 6 3 8 y t y t y t x t x t + + = + &&& && & && with zero initial conditions: ( 29 ( 29 ( 29 ( 29 ( 29 3 2 2 6 3 8 s Y s s Y s sY s s X s X s + + = + Solving for the transfer function, ( 29 ( 29 2 3 2 3 8 6 Y s s X s s s s + = + +...
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This note was uploaded on 02/01/2012 for the course MECH ENG 279 taught by Professor Landers during the Spring '11 term at Missouri S&T.

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