JME 3710
August 29, 2013
Homework #1 Solutions
1. (10 pts) At some instant in time, the temperature distribution within a particular onedimensional
domain 0 x 3 L is known to be
T (x) = T0
x3
3 x2
2x
Homework Set # 09 Solutions
Fall 2013 Control Systems I
Name: _
Aux50 By inspection only and without using RouthHurwitz, list which characteristic equations
(C.E.)a, b, c, or d have either Right Ha
Homework Solution Set # 3  Solutions
Fall 2013 Control Systems I
Name: _
Aux12
OgataP111
Using Masons rule, write the transfer function C/R for the Flow Graph shown
below.
Solution Aux 12
M1 G1G2G3
Homework Set #8 Solutions
Fall 2013 Control Systems I
Name: _
Aux43 a) Find the steady state error for E(s), the output of the summing junction, for a unit step
input at R(s). This value is the diff
Homework Set # 10 Solutions
Fall 2013 Control Systems I
Name: _
Aux56 Using RouthHurwitz Criterion, determine if the following Characteristic Equation (C.E.) is
stable, marginally stable, or unstab
Homework Set #2  Solutions
Spring 2013 Control Systems 1
Name: _
Aux 07 Write the transfer function C(s)/R(s) for the block diagram shown below. Suggestion,
use Masons rule.
R(s)
+

G1
+
H3
+
G2
C(s
Homework Set # 12 Solutions
Spring 2013 Control Systems I
Name: _
Aux70 For the control system with the loop gain G(s)H(s) given below a) Draw the Root Locus
diagram. b) Calculate the value of K tha
Solutions Homework Set #13
Summer 2013 Control Systems 1
Name: _
Aux_75 Sketch a straight line approximation of the Bode Gain vs Frequency plot for the transfer
function given.
Aux_75 Solution
First c
Homework Set # 4  Solutions
Fall 2013 Control Systems I
Name: _
Aux18 For the following transfer functions state if the system is overdamped,
critically damped, under damped, marginally stable, or u
Homework Set #11 Solutions
Spring 2013 Control Systems 1
Name: _
Aux63
Dorf E6.24
Consider the system represented in state variable form
x Ax Bu
where
y Cx Du
0 1 0
0
A= 0 0 1 B= 0 C= 1 0 0 D= 0
k 
Homework Set #6  Solutions
Spring 2013 Control Systems 1
Name: _
Aux_32 Draw the flow graph for the following transfer function by
means of direct decomposition. Assign the state variables x1, x2, x3
Homework Set #7 Solution
Fall 2013 Control Systems I
Work problems on a printout of this document. Enter answers in boxes provided
NAME: _
AUX_37 a) Find the steady state error for E(s), the output o
Homework Set #5  Solutions
Spring 2013 Control Systems 1
Name: _
Aux25 For the two systems with the input r(t) and output y(t) that are described by the
Y (s)
following differential equations, find
(These notes refer to Chapter 1 of the text Engineering Ethics: Concepts and Cases, 4th
edition, Harris, Pritchard, and Rabins, ThomsonWadsworth, 2009)
There are some occupations (e.g., physicians or
JME 3710
October 3, 2013
Homework #6 Solutions
1. (10 pts) Certain thin metallic coatings can be deposited by
shooting workpieces with molten metal droplets, which are
sprayed from a nozzle and travel
JME 3710
October 14, 2013
Homework #7 Solutions
1. (10 pts) Fig. 1 shows a simple model of nuclear
power generation: a nuclear fuel rod surrounded
by owing water within a tube. The tube has a
length L
JME 3710
October 17, 2013
Homework #8 Solutions
1. (10 pts) Liquid metal ows along axis x through a square crosssection duct of side length 2a.
As a rst approximation, the velocity prole is uniform, i
JME 3710
November 7, 2013
Homework #9 Solutions
1. (10 pts) A very long concentrictube heat exchanger (singlepass) has hotside and coldside
inlet temperatures of Ti h = 100o C and Ti c = 10o C, resp
JME 3710
November 12, 2013
Homework #10 Solutions
1. (10 pts) A simple concentrictube heat exchanger uses hot oil to heat cold water. Mass ow
rates on both sides are 0.05 kg/s. The design temperature
JME 3710
September 19, 2013
Homework #4 Solutions
1. (10 pts) A thermocouple of main length dimension D is to be
designed and constructed. In this particular problem, there
are 2 choices: a spherical
JME 3710
September 5, 2013
Homework #2 Solutions
1. (10 pts) A common task in architecture and
construction is estimation of heat loads for
a building. A simple wall has dimensions
W H = 10 m 3 m and
JME 3710
September 26, 2013
Homework #5 Solutions
1. (10 pts) A particular boundarylayer ow over a at plate exhibits a steady temperature prole
of T (y) = C0 + C1 y + C2 y 2 + C3 y 3 , where y is the
JME 3710
September 14, 2013
Homework #3 Solutions
k
perfect
insulation
1. (10 pts) Conduction occurs onedimensionally in
a slab having constant conductivity k and constant heat generation q (Fig. 1).
CES EduPack Exercises with Worked Solutions
E8 Multiple constraints and objectives
Overconstrained problems are normal in materials selection. Often it
is just a case of applying each constraint in t