MEEN 364
Spring 2010
Problem 1
Consider the following electromechanical system. The coil generates a force that acts on
a steel core with mass m. The displacement of the steel core is x3 and is measured
from the cores equilibrium position.
L
F= kf if
iL
R
Problem 1 Solution
First we use the current law for the node between resistor 1 and resistor 2
1 = 1
+ 2
Sum the voltage on the mesh in the input voltage
= 1 1 +
1 =
1
Substituting into the first equation we get,
1
= 1
+ 2
(1)
Next, sum the volt
Problem 1
A) [10 points] Find the Fourier transform of the following halfwave cosine function.
x(t)
=
T/2
2
T/2
Solution:
Note that,
cos
= cos
2
2
1
2 2 = cos
2
= 0 , which is true according to the graph
So the equation of the wave is given by
=
co
MEEN 364
Fall 2009
Solutions to Midterm #1
Problem 1a
Superposition
1 2
0
=
1
0
=
2
2
0
1
= 1 () 2 ()
Shifting in the complex domain
=
0
=
0
= ( )
Differentiation
() =
0
Doing integration by parts of the Laplace transform we get
MEEN 364
Solutions to Final Exam
Problem 1 Graded by Tolis
Problem 2 and 3 Graded by Vivek
Problem 4 and 5 Graded by Ram
1)
Kinematics stage
There are three rigid bodies and two of them can move independent of each other.
Therefore the number of degrees o
MEEN 364
Final Exam
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
FINAL EXAM August 14, 2002
10:30 AM 12:30 PM; Room 202T ENPH
Name: _
Please circle your section below
Section (Lab Time):
301 (MW 2:004:50
MEEN 364
Solutions to Exam 2
Solutions to Exam 2
Problem 1 Graded by Tolis
Problem 2 Graded by Vivek
Problems 3,4,5 Ram
1)
The given electromechanical system is as shown
k
i1(t)
m
i2(t)
L
R
e(t)
b
F(t)
c
eb(t)
Core
LOOP 1
LOOP 2
Writing the voltage balan
MEEN 364
Exam 2
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
EXAM 2 JULY 25, 2002 @ 7 9 PM
Room 202T ENPH
Name:
Please circle your section below
Section (Lab Time):
301(MW 2:004:50 PM)
302(TR 2:004:50 P
MEEN 364
Spring 2009
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
Final Exam May 8, 2009, 12:302:30
Name:
Please circle your section below: Section (Lab Time):
504(W 1:504:40 PM)
505(R 11:102:00 PM)
50
MEEN 364
Spring 2009
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
Final Exam May 8, 2009, 12:302:30 pm
Name:
Please circle your section below: Section (Lab Time):
501(M 1:504:40 PM)
502(T 8:0010:50 AM)
MEEN 364
Spring 2008
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
Final Exam May 5, 2008, 8:0010:00
Name:
Please circle your section below: Section (Lab Time):
501(M 1:504:40 PM)
502(T 8:0010:50 AM)
50
MEEN 364
Spring 2008
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
Final Exam May 5, 2008, 8:00 AM  10:00 AM
Name:
Please circle your section below: Section (Lab Time):
501(M 1:504:40 PM)
502(T 8:0010:5
MEEN 364
Final Exam Solutions
Problem 1 Solution:
a)
s 2Y (s) 6sY (s) 8Y (s) s 2 X (s) 4 X (s)
G( s)
Y (s)
s2 4
2
X (s) s 6s 8
b)
The output signal y(t) is going to be the same frequency as the input signal x(t) but with
modified phase and amplitude.
y(t
MEEN 364
Final Exam
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
Final Exam May 4, 2007
12:30 2:30 PM; 101 RICH
Name:
Please circle your section below: Section (Lab Time):
501 (M 1:504:40 PM) 502 (T 11:1
MEEN 364
Solutions to Final Exam
May 7, 2004
Solutions to Final Exam
1)
L
R
+
x(t)
i(t)
+y
v(t)
+x
fs(t)
k
Capacitor plate, a
(Fixed Plate)
M1
Capacitor plate
b
c
x1(t)
M2 , I
Kinematics stage
Let the movable plate b move a distance x(t) units. Then the v
MEEN 364
Final Exam
May 7, 2004
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
Final Exam May 7, 2004
ZACH 227A
NO CALCULATORS ARE ALLOWED
CLOSED BOOKS AND CLOSED NOTES
Name:_
Please circle your section bel
Solutions to Exam # 2
1)
The motor is characterized by the following two equations:
Te = K t ia (t ),
v = K &
e
e
Writing the voltage balance equation for the electric circuit, we have
La
Ra
+
va
ia(t)
ve
_
La
dia (t )
+ ia (t ) Ra + K e &1 = v a .
dt
(1)
MEEN 364
Exam 2
April 14, 2004
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
EXAM 2 April 14, 2004
7:00 9:00 PM; HECC 209
NO CALCULATORS ARE ALLOWED
CLOSED BOOKS AND CLOSED NOTES
Name:
Please circle your s
MEEN 364
Solutions to Exam 1
Spring 2004
Solutions to Exam 1
Figure (a)
Figure (iv)
Figure (a) is not a pure sinusoid. It is a combination of two sinusoids, with the higher
frequency component more dominant than the lower frequency component. Hence the
ma
MEEN 364
Exam 1
Spring 2004
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
EXAM 1 February 25, 2004
7:00 9:00 PM; HELD 200
Name:
Please circle your section below: Section (Lab Time):
501(M 1:504:40 PM) 502
MEEN 364
Solutions to Exam 2
Solution to Exam 2
1)
ia
Vin
e
For the electrical circuit part, we have,
di
Vin = Ra i a + La a + e
dt
&
e = K e m
(1)
(2)
For the mechanical part, the free body diagram is as following
r
T
m
J
B&m
k ( y r m )
&
&
b ( y r m )
MEEN 364
Exam 2
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
EXAM 2 April 10, 2003
7:00 9:00 PM; Fermier Hall 304
Name:
Please circle your section below: Section (Lab Time):
501(M 1:504:40 PM) 502(T 8:00
MEEN 364
Solutions to Exam 1
Spring 2003
Solutions to Exam 1
1) Consider the following continuoustime signal
x a (t ) = 2 cos(200 t ) + 3 cos(800 t ) + 5 sin(100 t ) + 6 sin(700 t ).
i) [5 points] What are the frequencies present in the signal x a (t ) ?
MEEN 364
Spring 2003
Exam 1
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
EXAM 1 February 20, 2003
7:00 9:00 PM; ENPH 202T
Name:
Please circle your section below: Section (Lab Time):
501(M 1:504:40 PM)
50
MEEN 364
Solutions to Final Exam
Solutions to Final Exam
1)
The motor is characterized by the following two equations:
Te = K t i a (t ),
v = K &
e
e
Writing the voltage balance equation for the electric circuit, we have
La
Ra
+
va
ia(t)
ve
_
La
dia (t )
MEEN 364
Final Exam
Texas A&M University
Department of Mechanical Engineering
MEEN 364 Dynamic Systems and Controls
Final Exam
Sections 501503 May 6, 2002 @ 8 10 AM
Sections 504506 May 3, 2002 @ 3 5 PM
Name: _
Please circle your section below
Section (L
MEEN 364
Solutions to Exam 2
Solutions to Exam 2
Problem 1 Graded by Vivek
Problem 2 Graded by Tolis
Problem 3 Graded by Ram
Problem 4 Graded by Ram
1)
Writing the voltage balance equation for the electric circuit, we have
Rm
Lm
+
im
Va

eb
dim
+ R m i m
MEEN 364
Solutions to Exam 1
Solutions to Exam 1
Problem 1  Graded by Ram
Problem 2  Graded by Ram
Problem 3  Graded by Tolis
Problem 4  Graded by Vivek
1a) The Fourier transform of a function f(t) is given by
F ( ) =
f (t )e
j t
dt.
Therefore, subs