HOMEWORK #2
Due: Sept 10
th
– Sept 16
th
1.
Reading Assignment
Complete the assigned MATLAB reading assignment posted on the Course Schedule on the
ENGR 126 Blackboard homepage.
2.
Module Assignment
(Due before your next lecture)
Complete the “Team Decision Making” Module posted under OnLine Modules on the ENGR
126 Blackboard homepage before lecture.
Deliverable: Online Submission
3.
Writing and running a MATLAB script
Write a script that calculates the displacement of an underdamped vibration response
(formula given below). Vibrations are a problem common to almost all fields of engineering;
you are likely to become very familiar with formulas such as these in your engineering
classes.
)
sin(
)
(
)
(
)
(
2
0
2
0
0
φ
ϖ
ζϖ
+
+
+
=

t
e
x
x
v
x
n
t
d
d
n
n
Where:
Variable
Description
Value
x
=
Displacement as a function of time in meters
?
v
o
=
Initial velocity in meters/sec
15 m/s
x
o
=
Initial displacement in meters
0.05 m
ω
n
(omega_n) =
Natural frequency in radians/sec
90 rad/s
ω
d
(omega_d) =
Damped frequency in radians/sec
87 rad/s
t =
Time in seconds
0.036 s
φ
(phi)=
Phase shift in radians
0.2635 rad
ζ
(zeta) =
Damping ratio (has no units associated with it, which in
engineering terminology is referred to as “dimensionless”)
0.25
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Sketch a flowchart
for the computation of
x
. Your flowchart should breakdown the
formula into simple steps.
Reminder:
Your flowchart should be written using English
and it should not contain MATLAB code.
b.
Open the MATLAB template file (
probtemplate.m
) in the MATLAB editor and resave
it as
hw2prob3.m
.
c.
Edit the Comments section in the script.
d.
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 Fall '08
 Oakes
 Velocity, hard copy, initial gauge length, MATLAB template ﬁle

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