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ME 375 – Spring 2011
Homework
No. 8
Due: Friday, March 25
th
Problem No. 1
(30%)
For the circuit shown below:
(a)
Use the time domain modeling method to obtain the equation of motion (EOM) relating
input
v
in
and output
i
2.
(b)
Use the impedance method to obtain the transfer function relating input
v
in
and output
i
2,
then obtain the equation of motion with input
v
in
and output
i
2.
Compare your results with
the one obtained in (a).
(c)
Let the output be
v
c
instead, which is the voltage across the capacitor.
What’s the transfer
function relating input
v
in
and output
v
c
?
Problem No. 2
(30%)
Assume that a DC motor is directly driving a load as shown below.
The motor has a BackEMF
constant
b
K
, a torque constant
T
K
, an armature inductance
a
L
, and an armature resistance
a
R
.
The rotor has an inertia
A
J
and a damping constant
B
.
The load has an inertia
L
J
and a viscous
damping constant
L
B
. The motor and load are connected by a shaft with a spring constant
L
K
.
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 Fall '10
 Meckle

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