- #1

Steve Collins

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I am attempting the question shown in the attachment.

It can be seen that the poles are located at -2 ± 3j which expressed in terms of s is (s + 2)

This is the denominator, but how is the numerator of the transfer function found?

Edit:

Looking at the Laplace look-up table I would want the numerator to be 3 giving:

3/((s + 2)

Is this correct?

It can be seen that the poles are located at -2 ± 3j which expressed in terms of s is (s + 2)

^{2}+ 3^{2}.This is the denominator, but how is the numerator of the transfer function found?

Edit:

Looking at the Laplace look-up table I would want the numerator to be 3 giving:

3/((s + 2)

^{2}+ 3^{2}) so that i could use e^{-at}cosωt to perform the reverse Laplace transform in part b.Is this correct?

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