HOMEWORK PROBLEMS
Week 1: Due Friday 14 September
1. Find the magnitude of the tensions T1 , T2 in the two cables if the resultant force acting on the
block in Figure 1 is zero.
T1
o
T2
o
25
15
50 lb
Figure 1
2. Three forces act at O in the xy -plane, as
The University of Michigan
Department of Mechanical Engineering
ME 320-001, Fall 2013
Homework #1 - Due September 12, 2013
Problem 1: Problems 1.15, 1.17 and 1.18 of Munson, Okiishi, Huebsch, Rothmayer, Fundamentals of Fluid Mechanics, 7th edition - herea
HOMEWORK PROBLEMS
Week 2: Due Friday 21 September
1. Figure 1 shows a right-angle crowbar ABC which makes frictionless contact with a rigid
wall at the points A, D and E . Find the reaction forces at these contact points when the crowbar
is loaded by a 20
Engineering101
DataTypes
QuoteoftheDay
Judgepeoplebytheirquestions
ratherthanbytheiranswers.
Voltaire
TwoImportantHalvesof
ComputerProgramming
n
ExecutionControl
Sequence
n Selection
n Iteration
n
n
DataRepresentation
n
Howdowestructurethedatathatweareact
Engineering101
Loops
QuoteoftheDay
Commonsenseisnotsocommon.
Voltaire
FiniteSums
n
Whatifwewanttocomputeasummation?
m
Sum(m)=
Sum(4)=
1
n2
n =1
111
1 + + + = 1.4236111.
4 9 16
Write a function to do this.
FiniteSums
/ReturntheSum(n=1tom)1/(n^2)
doubleSum
Engineering 101
Iteration and Conditionals
Quote of the Day
It is not hard to learn more. What is hard is to unlearn when you discover yourself wrong.
Martin H. Fischer
Before we get started.
n
A note on the increment/decrement operators: x-; is the same
Engineering101
SortingandRecursion
QuoteoftheDay
Whenonedoortohappinesscloses,another
opens;
butoftenwelooksolongatthecloseddoor
HelenKeller
thatwedonotseetheonewhichhasbeen
openedforus.
Recursion
n
n
Aprogramthatcallsitselfiscalledrecursive.
Example:
int
Engineering 101
Selection
Quote of the Day
The essence of knowledge is, having it, to apply it; Confucius not having it, to confess your ignorance.
Selection
n
n
So far we have discussed sequence and iteration. Selection allows the execution of a portion
ECCENTRIC LOADING
In developing the bending formula
M
E
= = ,
I
y
R
(1)
we assumed that the beam was transmitting a bending moment M, but that the
axial force F was zero. In fact, the axial force transmitted by the cross-section can
be written as an integ
ME 211003 INTRODUCTION TO SOLID MECHANICS
Midterm Examination I Practice Examination
Attempt all questions
MULTIPLE CHOICE QUESTIONS
1. (1 point) The force in Figure 1 acts at the point B and has magnitude 400 N. Its
component Fx in the xdirection is:-
Fx
AXIAL LOADING (DETERMINATE PROBLEMS)
From Hookes law, an elastic bar in uniaxial tension will experience a tensile
strain
x
x =
,
(1)
E
where x is the tensile stress and E is Youngs modulus. We assume that the stress
is uniform over the cross-section A of
TORSION OF CYLINDRICAL BARS
We consider the case where a cylindrical bar (it may be solid or hollow) is
loaded by a twisting moment or torque T , as shown in Figure 1. For the cylindrical
bar, it is convenient to use cylindrical polar coordinates r, , z a
MATERIAL BEHAVIOUR
All real bodies are deformable, meaning that their size and shape generally
change when loads are applied to them. If a problem is statically indeterminate,
the deformation of the components plays a crucial role in determining the distr
Engineering101
Strings
QuoteoftheDay
Successisalousyteacher.
Itseducessmartpeopleintothinkingtheycan't
BillGates
lose.
TheStringClass
n
n
Sofarwehaveconsideredproblemswherethe
datawearemanipulatingisprimarily
numbers.
Oftenthedatawewanttoworkwithisnot
num
Engineering101
C+Basics:Programsand
Expressions
QuoteoftheDay
hepeoplemaybemadetofollowapathofaction
uttheymaynotbemadetounderstandit.
Confucius
Howisdatasentto/fromthecaller?
n
Passbyvaluecopiesthedatafromthecallertoanew
locationinthealgorithm.
n
n
n
Whe
Engineering101
IntroductiontoAlgorithms
andPrograms
Whatwillyougetfromthiscourse?
n
n
n
n
Youwilllearnhowtothinklikeanengineer
Youwilllearnaboutalgorithmsandhowto
design/implementthem
YouwilllearnprogramminginC+and
MATLAB
Youwillhavefun!
QuoteoftheDay
Ihe
Answers to selected problems
Important Note: Occasionally we nd errors in the solutions that cause us to modify this le
during the term. It is a good idea to check back in CTools from time to time.
Homework 1
Problem 2:
|F | = 149.1 N ; = 18.5o .
Problem
ME250 | Fall 2012 | University of Michigan
MS2: Strategy selection (25 points)
This is an individual assignment, and your solution must be entirely prepared by you. Therefore, you
may not discuss your solution with other ME250 students, and you may not de
ME 211010 INTRODUCTION TO SOLID MECHANICS
Bluebook II Practice Examination
Attempt all questions
MULTIPLE CHOICE QUESTIONS
1. The bar ABC of Figure 1 is built in at A and C and loaded by a force F at the change
of section B , which is half way between A a
ME250 | Fall 2012 | University of Michigan
MS1: Strategies
This is an individual assignment. Your work must represent your own ideas, and you may not
discuss your solutions with others, until you complete part (d).
This assignment is due in two stages.
S
The University of Michigan
Department of Mechanical Engineering
ME 320-001, Fall 2013
Homework #2 - Due September 19, 2013
Problem 1: Problems 1.124, 1.126 and 1.131 of the text.
Problem 2: Problems 2.10 and 2.20 of the text.
Problem 3: Problems 2.47 and
The University of Michigan
Department of Mechanical Engineering
ME 320-001, Fall 2013
Homework #1 - Due September 12, 2013
Problem 1: Problems 1.15, 1.17 and 1.18 of Munson, Okiishi, Huebsch, Rothmayer, Fundamentals of Fluid Mechanics, 7th edition - herea
The University of Michigan
Department of Mechanical Engineering
ME 320-001, Fall 2013
Homework #1 - Due September 12, 2013
Problem 1: Problems 1.15, 1.17 and 1.18 of Munson, Okiishi, Huebsch, Rothmayer, Fundamentals of Fluid Mechanics, 7th edition - herea
ME240 HOMEWORK #9
Due on Mar. 29th
Engineering Mechanics Dynamics, 6th Ed.
J. L. Meriam & L. G. Kraige
WILEY
Chapter 6
Problem 6/75.
The uniform square steel plate has a mass of 6 kg and is resting on a smooth horizontal surface in the x-y
plane. If a hor