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HWK3514_HWK_6_solution_Fall_2007

HWK3514_HWK_6_solution_Fall_2007 - ME 3514 System Dynamics...

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ME3514 - HWK - Burdisso - 54 ME 3514 – System Dynamics HOMEWORK #6-Solution DUE: DUE: 10/26/07 1. (10pts) Solve problem B-6-8 (Book page 314) Solution: Assume 1 2 i i > For above figure, ( ) ( ) ( ) 1 1 2 1 0 .................. 1 i di e t L i i dt dt C = ( ) ( ) 1 2 2 2 1 2 1 0 ......... 2 R i R i i i C + = Taking the Laplace Transform ( ) ( ) ( ) [ ] ( ) ( ) 1 ........ .......... 1 2 1 1 s E s I s I Cs s LsI i = + ( ) ( ) ( ) ( ) [ ] ( ) 2 ......... 0 1 1 2 2 2 2 1 = + + s I s I Cs s I R s I R In Matrix Form ( ) ( ) ( ) = + + + 0 1 1 1 1 2 1 2 1 s E s I s I Cs R R Cs Cs Cs Ls i Or ( ) ( ) ( ) + + + = 0 1 1 1 1 1 2 1 2 1 s E Cs R R Cs Cs Cs Ls s I s I i Or NAME:
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