assign06 - find the impulse response of the system. Submit...

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SYSC 3600 – Assignment #6 1/. Using Laplace techniques, determine how the system of question 2 of assignment 5 would respond if the base were suddenly raised by 2cm. (a) assume m = 10 kg, k = 1000 N/m, and c = 100 N-s/m (b) assume m = 10 kg, k = 1000 N/m, and c = 200 N-s/m (c) assume m = 10 kg, k = 1000 N/m, and c = 250 N-s/m In all cases you must identify the poles and residues and show how there were obtained (while it is a good idea to use Matlab to check your answers, you must solve this question "by hand"). Your answer to part (b) should match your answer to question 5 of assignment 5. 2/. Suppose that a system has the following transfer function: Input Outputs s s s s s s X s Y s H ) 10 )( 26 10 ( 100 20 5 ) ( ) ( ) ( 2 2 + + + + + = = (a) Give the differential equation relating y(t) and x(t) . (b) Using the graphical technique for computing residues (see page 4-22 of the notes),
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Unformatted text preview: find the impulse response of the system. Submit an s-plane graph showing i) the locations of the systems poles and zeros and ii) the quantities required to find the residue for one of the complex poles. For each residue computed, list the magnitudes and angles of all of the component terms (i.e. the magnitudes and angles of (p i-p j ) and so on). 3/. Suppose that a system has the following transfer function: Input Outputs s s s X s Y s H 24 11 50 ) ( ) ( ) ( 2 + + = = (a) Using Laplace techniques, determine how the system would respond if x(t) = t Inputs (i.e. find the response of the system to a ramp input). (b) Using your answer to part (a) and the principle of superposition, determine how the system would respond if x(t) were as shown below. 4 6 12 Inputs seconds...
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