midS11sol - Name _______________________________ ME 475...

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Unformatted text preview: Name _______________________________ ME 475 MIDTERM EXAMINATION Spring 2011 March 1, 2010 8-10 pm ARMS 1010 Problem 1 /20 Problem 2 /20 Problem 3 /20 Problem 4 /20 Problem 5 /20 TOTAL /100 INSTRUCTIONS: This is a Closed book exam. You are permitted one 8 1/2 11 help sheet of your own design. You have two hours to complete the exam. Label and circle your answers. 2 Laplace Transform Pairs f(t) F(s) Comment 1. u i (t) 1 Unit impulse 2. u s (t) 1 s Unit step 3. u r (t) 2 1 s Unit ramp 4. e at- 1 s a + Exponential 5. sin t s 2 2 + Sine 6. cos t s s 2 2 + Cosine 7. f(t) F(s) Function 8. df t dt ( ) sF(s) - f(0) First Derivative 9. d f t dt n ( ) s F s s f s df dt n n n ( ) ( ) ( )---- 1 2 n th Derivative 10. t n n s n ! + 1 11. e f t at- ( ) F s a ( ) + 12. te at- 1 2 ( ) s a + 13. t e n at- n s a n ! ( ) + + 1 14. e t at- sin ( ) s a + + 2 2 15. e t at- cos ( ) ( ) s a s a + + + 2 16. Initial Value Theorem: f (0 + ) = lim s sF ( s ) 17. Final Value Theorem: lim ( ) lim ( ) t f t s sF s = 3 Problem 1 : (20 points)...
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midS11sol - Name _______________________________ ME 475...

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