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Test 2: ME 4005 Spring 2007
MEJ & SH
Name:_______________
Instructions:
This is a closedbook test except for one sheet on one side of an 8½x11 page.
You are to place your answers on the opscan sheet provided. Please fill out the
appropriate information. Turn in the opscan sheet in one stack and your test
paper in the second stack.
A “workarea” has been provided on the right side of the test paper for your
calculations. If one or more of the test questions are unclear, please make an
assumption and note that assumption in the test paper workarea. In all cases,
choose the most correct or closest answer
.
Questions:
1)
Any periodic signal can be represented as a:
a)
Series of sine waves
b)
Series of cosine waves
c)
Series of sine and cosine waves
d)
All of the above
2)
The input
u(t)
to and the output
y(t)
from the system shown in
Figure
1
are related to each other using the differential equation shown.
Which of the following is true?
a)
The Laplace transform can be used to simplify and manipulate
this equation
b)
The system can be described as an
m
th
order system
c)
The system has
m
poles and
n
zeros
d)
a & b
e)
a, b & c
Figure 1
3)
In order to calculate the
n
th
coefficient of a Fourier series that represents the
signal
y(t)
:
a)
One period (
T
) of the signal
y(t)
is multiplied by
cos(n
ω
t)
(or
sin(n
t)
)
and integrated over the period (from
–T/2
to
T/2
)
b)
n
periods (
nT
) of the signal
y(t)
are multiplied by
cos(
t)
(or
sin(n
t)
)
and integrated over the
n
periods (from
0
to
nT
)
c)
One period (
T
) of the signal
y(t)
is integrated over the period (from
–T/2
to
T/2
) and then multiplied by cos(
n
ω
t) (or
sin(n
t)
)
d)
One period (
T
) of the signal
y(t)
is differentiated
n
times
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View Full Document Test 2: ME 4005 Spring 2007
MEJ & SH
4)
Sharp changes in a signal
y(t),
such as the tip of a triangle wave or the edge
of a step function,
a)
Will not be captured accurately with a low sample rate data
acquisition system
b)
Contain large amplitude low frequency components
c)
Contain large amplitude high frequency components
d)
a & b
e)
a & c
5)
A pulse can be defined as,
a)
A signal which is zero for t<0 and 1 for t>0
b)
A signal with infinitesimal duration and infinite amplitude
c)
A signal with a short duration
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This note was uploaded on 03/29/2008 for the course ME 4006 taught by Professor Mekasarda during the Spring '06 term at Virginia Tech.
 Spring '06
 MEKasarda
 Mechanical Engineering

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