OMU324-HW#2 - , use the Final Value Theorem to find the...

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HACETTEPE UNIVERSITY Mechanical Engineering Department OMU 324 Homework # 2 Due Date: Consider two systems with following governing equations (a) and (b) given below where is the system output and is the system input; a. ) ( 36 18 13 2 2 t u y dt dy dt y d = + + b. ) ( 36 18 13 2 2 t u y dt dy dt y d = + - Moreover, we consider the three following inputs: , ( is the impulse function.) , ( is the unit step function.) 2 ) ( 2 t t u = ) 2 sin( ) ( t t u = 1) For the four inputs defined above, obtain time responses of systems (a) and (b), given the initial conditions: . 2) For the four inputs defined above and for zero initial conditions
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Unformatted text preview: , use the Final Value Theorem to find the steady state responses of the systems. ( Hint: As an initial step, you need to prove that you can actually use the Final Value Theorem.) 3) For the four inputs defined above, find the initial system responses using the Initial Value Theorem. ( Hint: You may use results of Questions 2 and 3 to check your findings in Question 1) 4) For the four inputs defined above, plot the time responses of systems (a) and (b) by using MATLAB....
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This note was uploaded on 04/01/2012 for the course MECHANICAL MMU-324 taught by Professor Çağlarbaşlamışlı during the Spring '12 term at Hacettepe Üniversitesi.

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OMU324-HW#2 - , use the Final Value Theorem to find the...

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