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
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
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
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 )
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 #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
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 #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 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 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
Name: 50 /M1L7bm
Section: 9:30 ; 3:30 .
(Circle One)
ME 375
EXAM #2
March 30, 2000
7-8 pm
PHYS 112
35
1
2
30
35
3
INSTRUCTIONS:
1. This is a Closed book exam. You are allowed gig help sheet for
handwritten notes.
2. Your exam must be stapled.
3
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
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
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
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 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
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 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:
I have read the instructions given below.
PROFESSOR:
Franchek
or
Meckl
ME 375
Fall 2001
EXAM 2
November 6, 2001
PROBLEM
SCORE
NUMBER
1
/15
2
/25
3
/10
4
/10
TOTAL:
/60
READ THESE INSTRUCTIONS BEFORE TAKING THE TEST!
This test is closed book and clos
NAME:
Problem 1: Consider the equations of motion shown below
up) + 2550mm + wjum = wfeo)
331(t)+ (1521(1): Ku(t)
em = r(t) - M)
Mr) + W20) = 610)
v y(t):}1(t)+}2(t)
The inputs to the system are r(t) and d(t), and the output is y(t). Draw the block diagr
System Modeling&Analysis
Fall 2000-Meckl/Adams
ME 375
FINAL EXAM
SOLUTIONS
Fall 2000
Problem 1: (15%)
Figure 1 shows the pole locations for six dierent rst and second order systems in the
complex plane. We will use the information in the gure in addition
System Modeling&Analysis
ME 375
Fall 2000-Meckl/Adams
FINAL EXAM
Fall 2000
Please write neatly, use the required problem solving format, and keep your eyes on
your own work. We suggest that you read through all the problems and then work on
the easiest pr
NAME: L
Spring 2007 ME 375 Quiz 1
IN CLASS: 13712007
PROBLEM I: (40%)
In the space provided please complete the element law for the following element
free body diagrams:
OVER PROBLEM 2 (60%)
{I For the system shown above, the springs are undeecte
NAME: _
Spring 2007
ME 375
Quiz 3
IN CLASS: 2/7/2007
PROBLEM 1 (80%)
&
Given the following differential equation: & + 2 y + 5 y = 5 f (t ) with zero initial conditions.
y
Using Laplace transforms, determine y(t) when the input force f(t) is a unit step fu
NAME: _
Spring 2007
ME 375
Quiz 4
IN CLASS: 2/21/2007
PROBLEM
&
Given the following differential equation: y + 5 y = 5 f (t ) .
Determine the form of the steady-state response yss(t) when the input force f(t) is a sinusoidal
input with frequency 10 rad/se
Name:
Section:
9:30
(Circle One)
.
;
ME 375
EXAM #2
March 30, 2000
7-8 pm
PHYS 112
Problem
Point Value
Score
1
35
_
2
30
_
3
35
_
Total
100
_
INSTRUCTIONS:
1. This is a Closed book exam. You are allowed one help sheet for
handwritten notes.
2. Your exam m
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
ME37500 Homework #8
Fall 2017
Due: 10/20/2017
Problem 1 (35%)
A variable capacitance displacement sensor is shown in the figure below.
The gaps among the three plates cause capacitive effect between the plates. As the middle plate M
moves between the tw
ME 375 Post Lab 2 Report:
Pole Placement Controller Design
Jason Lee
29 September 2017
Deliverables:
1. Write up a brief typed summary that includes complete answers (or screen shots, where
required) to the following questions:
Section 5.1 part 16, and p
XI. Block diagrams
XI.12
me 375 - cmk
Example 4
Consider a system with the following equations of motion:
x! + 3x 2 y = 0
y! + 4 y z = 0
z! + 5z 3x = u(t)
a) Construct the block diagram of the system corresponding to an input of u(t) and
an output of y(t)
I. Modeling of mechanical systems
I.9
me 375 - cmk
Input/output form of EOMs
Typically, the equations of motion (EOMs) for mechanical system are comprised of
second-order differential equations. For a system having N-DOFs, we will have N,
second-order dif
The objective of this project is to familiarize yourself with pole placement controller design and the eect that it can
have on both stable and unstable systems. Upon completing this project, you should be familiar with the following
concepts:
ME 375X
myR