MEEN 260
Introduction to Engineering Experimentation
Homework 10: Laplace Transform, and Frequency Response
Assigned:
Thursday, 9 Apr. 2009
Due:
Thursday, 16 Apr. 2009, 5:00pm
Learning Objectives:
After completing this homework assignment, you should be able to:
1)
Determine the Laplace Transform of a signal using the definition, tables, or properties of the
Laplace Transform
2)
Utilize the Laplace Transform to find the Transfer Function of a dynamic system represented by
a system of differential equations
3)
Utilize the Laplace Transform to solve for the transient response of a dynamic system
4)
Discuss the difference between the Laplace and Fourier Transforms and their respective uses
5)
Using the Transfer Function of a system, determine and plot the associated frequency response,
and determine the steady state response of a system to a harmonic input signal
Homework Problems:
Problem 1)
Definition of Laplace Transform
Using the mathematical definition, compute the Laplace transform for the function:
( )
3
cos(2 )
f t
t
t
t
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 Fall '08
 LANGARI
 Laplace, steady state response

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