3
Lab 0: Introduction
This experiment will span one week. If possible look at the prelab assignment
before coming to the lab.
3.1
Prelab
1. Plot
y
(
t
), generated by the following analog computer program.
±
±
±
²
²
²
±
²³
´µ
±±
+10
y
(
t
)
0
.
4

10
2. Consider a diFerential equation,
d
3
y
dt
3
+0
.
3
d
2
y
dt
2

5
y
=0
,
with initial conditions,
y
(0) =

1
,
˙
y
(0) = 0
,
and ¨
y
(0) = 10
.
Draw an integrator block diagram and an analog computer program
for this equation.
3. Assume that the diFerential equation of the previous problem is forced
with an input
u
,
d
3
y
dt
3
.
3
d
2
y
dt
2

5
y
=
u.
Calculate the transfer function of this system and draw an analog com
puter program to simulate the system.
Modify the program so that it simulates the system,
d
3
y
dt
3
.
3
d
2
y
dt
2

5
y
=
u
.
1˙
u.
21
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View Full Document4. Consider the diferential equation,
¨
x
+ 2 ˙
x
+
αx
=0
,
where
x
(0) = 20, ˙
x
(0) = 0, and
α
is an unknown gain, such that
20
≤
α
≤
40. Estimate the maximum variable values as a Function oF
α
. Draw a scaled analog diagram that will work For any
α
in the range
given.
5. Consider a system described by the transFer Function
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 Spring '07
 RODWELL
 Operational Amplifier, analog computer program

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