ME375
HOMEWORK SET 1 - Solutions
FALL 2014
PROBLEM #1
Solutions:
a).
We know that the boat moves up-and-down in the water, but we are only interested in how the
motor moves the boat through the water with the fish on the other end of the line. We will use
ME 375 HOMEWORK #2 Fall 2012
Out: August 29, 2012
Due: September 5, 2012
Problem #1 130%!
Blocks A and B (each having a mass of m) are connected by the cable-pulley system shown. A
constant force 1?, is applied to block B as shown. Let x represent the pos
ME 375
OUT: 09/26/14
HOMEWORK SET 5
FALL 2014
DUE: 10/03/14
Use a separate sheet to answer each problem. Also write your name and the problem number on each
sheet you hand in. Before starting, read Chaps. 8 and 9.
PROBLEM #1 (40%)
Consider the design of b
ME375
HOMEWORK SET 1 - Solutions
FALL 2014
PROBLEM #1
Solutions:
(1)
The FBDs are shown below:
Pulleys
Drive Motor Disk
FP2
FP1
1
Load Disk
P
FP4
2
FP3
FP4
FP2
TD
C11
FP3
TL
FP1
C22
(2)
For simplicity, let TPD represent the equivalent torque on the drive
ME375
HOMEWORK SET 4 - Solutions
FALL 2014
PROBLEM #1
Solutions:
(A) With u (t ) 0 , taking Laplace Transform:
L [ 2 y y ] L [ ] 2 L [ y ] L [ y ] 0
y
y
2
[ s Y ( s ) s y (0) y (0)] 2[ sY ( s ) y (0)] Y ( s ) 0
2
[ s Y ( s ) 0 2] 2[ sY ( s ) 0] Y ( s )
ME375
HOMEWORK SET 6 - Solutions
FALL 2014
PROBLEM #1
Solutions:
(A). FBDs: (note that no gravity forces are drawn as the reference positions for displacements are
defined to be the positions of the system at rest under the gravity field).
Based on the dr
ME 375
HOMEWORK #1
Fall 2012
Out: August 22, 2012
Due: August 29, 2012
PROBLEM 1: (40%)
a) Derive the equation of motion (EOM) in terms of the coordinate x for System I shown below.
(The springs for this system are unstretched when x=0.)
b) Derive the EOM
Transfer Functions
Dynamic Response of Linear Time Invariant (LTI)
Systems
Free (Natural) Response
Forced Response
Transfer Function
Poles
Zeros
Free Response General Form
Input/Output Modeling With Transfer Functions
Purdue University ME375 Trans
ME 375
HOMEWORK #11
Out: November 14th, 2012
Fall 2012
Due: December 28, 2012
PROBLEM 1: (30%)
The engine, body and tires of a racing vehicle affect the acceleration and speed attainable. The speed control of
the racing car is represented by the model sho
ME 375. HW 7 Solutions. Original Homework Assigned 10/12, Due 10/19.
Problem 1. Palm 8.2 a-b
15
1
Part (a). T (s) = 6s+2 = 15 3s+1 .
2
Here = 3 and the multiplicative factor 15/2 shifts the magnitude curve up by 20log15/2 =
17.5012dB. The magnitude plot l
ME375 Handouts
Root Locus
Motivation
Sketching Root Locus
Examples
School of Mechanical Engineering
Purdue University
ME375 Root Locus - 1
Servo Table Example
DC Motor Position Control
The block diagram for position control of the servo table is given
ME 375 System Modeling and Analysis
Homework 9 Solution
Out: 26 October 2011
Due: 2 November 2011
Problem 1. A) Palm 6.38 B) Palm 6.40
These two problems use what the author calls armature controlled motor which is what we
discussed in class (Fig 6.4.4. i
ME 375 System Modeling and Analysis
Homework 6 Solution
Out: 5 October 2011
Due: 12 October 2011
Problem 1. Palm 9.4
a) xss 10
4 4 2 8 sec .
x(t ) Ae t / 10 (the first part being transient, the latter steady state).
b) xss 10
A=5
Now apply I.C. x(0) 5 A 1
ME 375 System Modeling and Analysis
Homework 10 Solution
Out: 2 November 2011
Due: 9 November 2011
Problem 1. A) Palm 9.46
1
1
Lets do the inner loop first: s
. Notice that the sign in the denominator is a minus not
4 s4
1
s
a plus. Thats because the fee
ME 375 System Modeling and Analysis
Homework 5 Solution
Out: 21 September 2011
Due: 28 September 2011
Problem 1.
a) The two EOMs will be:
0
m1 1 + ( B1 + B2 ) x1 + ( K1 + K 2 ) x1 K 2 x2 B2 x2 =
x
0
m1 2 + ( B2 + B3 ) x2 + ( K 2 + K 3 ) x2 K 2 x1 B2 x1
Problem 1.
Problem 2.
Problem 3.
3.15 c)
Use the LT / Inverse LT method:
Take the Laplace transform of both sides:
5(sX(s) 4) + 7X(s) = 15/s
s(sX(s) 4) + 7sX(s) = 15
Factoring:
s(5s + 7)X(s) = (20s + 15)
Solving for X(s):
X(s) =
20s + 15
s(5s + 7)
X(s) =
ME 375. HW 4. Solutions
Problem 1.
Palm 3.30
x + 4x = 3t
Hint: u(t) = 3t, so 3t is the input or forcing function.
For part (b): Please apply the following initial conditions: x(0) = 10, x(0) = 126.6.
Tip: on partial fraction expansion, try these four term
ME 375 HOMEWORK #12 Fall 2011
Out: Wednesday, November 30, 2011
Due: Wednesday, December 7, 2011
PROBLEM 1: Generate the root locus for K 0 in the characteristic equation 1+ KL(s) = 0 and the
listed choices for L(s) . You may use the MATLAB rlocus command
ME 375 System Modeling and Analysis
Homework 1 Solution
Out: 24 August 2011
Due: 31 August 2011
Problem 1. Lets warm up with some high school physics. Solve Problem 2.1. on page 70 of your
textbook (Palm).
v(t)=gt=32.2t
x(t)=1/2 gt2 = 16.1t2 (this is dist
ME 375 System Modeling and Analysis
Homework 11 Solution
Out: 18 November 2011
Due: 30 November 2011
Problem 1:
You are given the following system: G ( s ) =
20
.
s + 12 s + 20
2
a) Using Laplace and Inverse Laplace, calculate the unit step response of th
ME 375 System Modeling and Analysis
Homework 2 Solution
Out: 31 August 2011
In all of the problems, state your assumptions.
Problem 1. Solve Problem 2.19 in Palm.
Assume: Gears and shafts have no inertia.
a)
2 3 4 4
3 13
3 2.13
5 11
1 2 3 1
b) Torque r
SOLUTIONS of ME 375 EXAM #1
Tuesday |February 18, 2002
Division Meckl 12:30 / Gong 2:30 (circle one)
Name_
Instructions
(1)
This is a closed book examination, but you are allowed one 8.5x11 crib sheet.
(2)
You have one hour to work all three problems on t
ME 375 EXAM #1
Tuesday, February 18, 2002
Division Meckl 12:30 / Gong 2:30 (circle one)
Name_
Instructions
(1)
This is a closed book examination, but you are allowed one 8.511 crib sheet.
(2)
You have one hour to work all three problems on the exam.
(3)
U
Name:
_
Section:
SOLUTION_
10:30_Adams
1:30_Sojka
3:30_Savran
ME 375
EXAM II
Tuesday, 3 April 2012
6:30 pm-7:30 pm
EE 129
Problem 1 _/35
Problem 2_/35
Problem 3_/30
Total Score:_/100
Dont forget your name and please circle your section instructor.
Exam is
ME 375 EXAM #2
Tuesday, April 1, 2003
Division Meckl 12:30 / Gong 2:30 (circle one)
Name_
Instructions
(1)
This is a closed book examination, but you are allowed two 8.511 crib sheets.
(2)
You have one hour to work all three problems on the exam.
(3)
Use
SOLUTIONS OF ME 375 EXAM #2
Tuesday, April 1, 2003
Division Meckl 12:30 / Gong 2:30 (circle one)
Name_
Instructions
(1)
This is a closed book examination, but you are allowed two 8.511 crib sheets.
(2)
You have one hour to work all three problems on the e
May 4, 2007 10 Name
PROBLEM #6: (30 points)
Consider the following feedback control system:
Y(s)
-»T
where P(s) = (of/(s2 +_2gcons + of), with can = 2 rad/s, Q = 0.1
R(S)
Design a PD controller C(s) so that the resulting closed-loop system has damping
November 18, 2010
5
SOLUTION
PROBLEM 2: (30%)
The coupled electro-mechanical equations for an electric motor (ignoring armature inductance
and armature damping) are given by:
J = KT ia L
vi ( t ) = Ria + KT
where is the rotation rate of the motor, J is t
ME37500 Homework #1
SOLUTION
Due: 1/26/2017
Use a separate sheet to answer each problem, and include your name, section, and HWID
on each sheet. Please ensure that your uploaded solution file is legible!
Problem #1 (20 pts.)
Consider the following block d
ME375:
MEASUREMENT &
CONTROL SYSTEMS II
FEEDBACK CONCEPTS
DR. JEFFREY N. SHELTON
12 JANUARY 2017
Last time
ME 375
12 JANUARY 2017
2
Lets consider positioning a disk drive head.
ME 375
12 JANUARY 2017
3
Open-loop control (without feedback)
ideally inverts
ME375:
MEASUREMENT &
CONTROL SYSTEMS II
POLE PLACEMENT 2
DR. JEFFREY N. SHELTON
2 FEBRUARY 2017
Last time
ME 375
2 FEBRUARY 2017
2
What if we have a steadystate error after placing poles?
()
+
+
+
+2
( + 1)( + 3)
()
()
=
=
1 + ()
() + ()
( + )( +
ME375:
MEASUREMENT &
CONTROL SYSTEMS II
MODELING REVIEW
DR. JEFFREY N. SHELTON
17 JANUARY 2017
Last time
ME 375
17 JANUARY 2017
2
A variety of forms can be used
to model dynamic systems.
ME 375
17 JANUARY 2017
3
We can convert coupled EOMs to various form
ME 352 - Machine Design I
Name_
Spring 2017
Lab. Div._
Homework No. 1
Due: Friday, Jan. 20, 2017
Homework Notes (Will apply to all homeworks this semester)
(i) The handout sheet must be stapled as the cover sheet to your solution, and you may write
on it.