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

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),