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AE383 System Dynamics
HW#2
Due: December 11, 2006
1.
Write the equations of the twotank system depicted below.
The restrictions at A, B, and C
are of same type and same diameter, The flow rate through the restrictions is proportional
square root law of the pressure difference.
In addition, when
2
30 cm
h
=
, the outflow from
restriction C is 300 g/min.
2.
A scheme for the position control of a load with a permanent magnet DC motor is sketched
below.
The gear ratio is given to be
:1
N
.
Obtain the governing equations for this dynamic
system and sketch its block diagram.
3.
Obtain the model of the dashpot given below, where
y
is the input and
z
is the output.
Neglect the inertias and assume that the flow through the restriction is directly proportional
to the pressure difference.
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4.
Model the hydraulic system given below.
Neglect the inertias and assume that flow through
the restrictions is proportional to the pressure difference.
5.
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 Spring '11
 Melin
 Angular Momentum, Force, Mass, Pressure difference

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