In our discussmn of the relative motion of particles in Art. 2/8 and in our use of the relative-
motion equations for the plane motion of rigid bodies in this present chapter, we have used
nonmraring reference axes to describe relative velocity and relati
FACULTY OF ENGINEERING AND INFORMATION TECHNOLOGIES
School of Aerospace, Mechanical & Mechatronic Engineering
AMME2500: ENGINEERING DYNAMICS
Semester 1, 2015 | 6 Credit Points | Mode: Normal-Day
Coordinator(s): Douglass Auld
1. INTRODUCTION
This unit of s
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously
arranged with the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
1-9 for partially incorrect/correct
SOME USEFUL FORMULAE
1. Two Dimensional Kinematics
Non-rotation reference attached to B for 2 points A and B in a rigid body
Equation of velocity:
v A = vB + v A/ B
Equation of acceleration: a A = a B + a A / B or
(a A )n + (a A )t = (a B )n + (a B )t + (
Solutions for Assignment 3 AMME2500 2015
Q2
X
Attach the rotating frame ( x,y,z ) as shown.
Therefore f / F = 1k
rel ( X ,Y , Z ) = 2 i
y
= f / F + rel ( x , y , z )
= 1 k + 2 i
= 2i + 3k
r/s
Ans
d
= 1 k + 1 k + 2 i + 2 i
dt
=
= i
PHIL2647: Philosophy of Happiness
Semester 1, 2015
Essay questions
_
Due Date: Monday April 27 by midnight
Submission Details: Essays must be submitted online via the Blackboard site for this
Unit of Study.
PHIL2617: Practical Ethics
Semester 1, 2015
Essay questions
Due Date: Monday 27 April by midnight
Submission Details: Essays must be submitted online via the Blackboard site for
this Unit of Study.
Essays w
Paper presented at conference on New Directions in the Study of Happiness: United
States and International Perspectives, University of Notre Dame, USA, October 22-24
2006
First draft, October 2006
HOW DO WE ASSESS HOW HAPPY WE ARE?
Tenets, implications an
EM Test Portfolio 1
Manager research
EM Test Portfolio 1 vs MSCI EM (Emerging Markets) - Q114
Breakdown by industry (ICB)
Breakdown by region
24
27
40
1
0
1
0
0
0
0
0
0
Portfolio weight
Style tilt analysis
28 26
0
0
0
0
0
Cash &
non-equity
Non-index
count
7153 The three small spheres, each of mass m, are rigidly
mounted to the horizontal shaft which rotates with
the angular velocity to as shown. Neglect the radius
of each sphere compared with the other dimensions
and write expressions for the magnitudes of
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously
arranged with the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
1-9 for partially incorrect/correct
6 .
7 Analytical Mechanics
Lagranges Equations
6.1 ' Introduction
In mechanics, the equations of motion may be derived in two ways:
1. By equating forca (torques) to the rates of changes of linear (angular)
momentum at each point of the system, that is, b
A 40 kg disk of radius r=250 mm spins at the constant rate 1
= 80rad / s with respect to the bent axle ABC
(which has a negligible mass) as shown. The system was at re
4425 Semester 1, 2014 Page 2 of 7
Q1. (40 Marks in total)
rd=80mm. The disk is subjected to a couple M which causes it to rotate in a vertical
plane as shown. The angular velocity of the disk at the moment shown wd= 10 radls
and the angular acceleration o
_-_.-.-_- J. ubv A U]. .r. f
4
The rotation of a rigid body is described by its angular motion. Figure 5/2 shows a rigid body
which is rotating as it undergoes plane motion in the plane of the figure. The angular positions of
any two lines 1 and 2 atta
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously
arranged with the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
1-9 for partially incorrect/correct
Assignment Guidelines
(1) No late submission of assignment problems will be accepted unless previously
arranged with the lecturer.
(2) Each assignment question will be marked as follows:
0 for totally incorrect solution
1-9 for partially incorrect/correct
General Equations of Motion
- = . FORCE, MASS, AND
.
{aw/mas. sz-xxmxru-Mm' .n-«m- w -\:«:=:w- «a; m w.
In Arts. 4/2 and 4/4 we derived the fOICe and moment vector equations of motion for a general
system of mass. We now apply these results by starti
6/221 Wheel A has a mass of 50 kgwith a 250-inin-radius
. of gyration about its center 0 and 15 held initiain at 6192 The crank 0A rotates in the vertical Plane With a
rest on the inclinedg-ligs B. TE;W$:;}81:1;: constant clockwise angular velocity (00 of
Determinants of portfolio performance
Brinson, Gary P; Hood, L Randolph; Beebower, Gilbert L
Financial Analysts Journal; Jan/Feb 1995; 51, 1; ABI/INFORM Global
pg. 133
Reproduced with permission of the copyright owner. Further reproduction prohibited with