EEU104 Electrical
Technology
AC POWER ANALYSIS
Dr Jagadheswaran Rajendran
School of Electrical and Electronic
Engineering
Universiti Sains Malaysia
jaga.rajendran@usm.my
Room:2.31
Scope
Instantaneous and Average Power
Maximum Average Power Transfer
Effect
1.Find the following limit, if it exists, or show that the limit does not exist.
lim (x,y)(0,0) x xy + y
x + y
ANSWER:
lim (x,y)(0,0) x xy + y = lim (x,x)(0,0) x- x+ x
x + y
= lim (x,x)(0,0)
x + x
x
=1/2
2x
lim (x,y)(0,0) x xy + y/ x + y = lim (x,0)(0,0)
EMD 112
Intellectual Property: Patents,
Trademarks and Copyright
Muhammad Iftishah Ramdan, PhD
Patents
What is Patent? Utility
innovation ?
Patent:
Exclusive right granted for an
invention, which is a product or a process that
provides a new way of doing
1
CHAPTER 1
PROPERTIES OF FLUIDS
1.1
Introduction
Fluids mechanics deals with study of fluids-liquid and gases. The study can
be behavior of liquid fluids at rest (static) and in motion (dynamic). The study of
fluid mechanics is important because our life
EMD112
CONCEPTUAL DESIGN AND CAD
Ir. Dr. Abdus Samad Mahmud
abdus@usm.my
7 March 2016
CLARIFY FUNCTIONS
PRODUCT COMPONENT DECOMPOSITION
Exploded diagram
of wind turbine
CLARIFY FUNCTIONS
FUNCTION COMPONENT DECOMPOSITION
GENERATING DEVELOPED CONCEPT
Morpho
Ordinary Differential Equations (ODE)
Ordinary Differential Equations (ODE)
LEARNING OBJECTIVES
The objectives of this chapter are to:
1. Impart to students the knowledge of ordinary differential equations and their classifications.
2. Impart to students
131
CHAPTER 6
FLOWS IN PIPE
6.1 Introduction
Flow in closed conduits is very important part of study of fluid mechanics as
examples are very common. Water for domestic use is districted to all parts of the
house in pipe, sewers and drain pipes carry waste
1
CHAPTER 7
Dimensional Analysis and Similarity
7.1
Introduction
There are very few problems of interest in fluid mechanics that are solved
using differential and integral equations only. Most often it is necessary to do
experiments to establish relations
EMD112 - CONCEPTUAL
DESIGN AND CAD
Formulating a design problem
Ir. Dr. Abdus Samad Mahmud
abdus@usm.my
OUTLINE
1.Overall process of formulating a
design problem
2.Prepare engineering design
specification
3.Understand and implement the
house of quality
FO
70
CHAPTER 5
POTENTIAL FLOWS
5.1 Introduction
The potential flows are related to the ideal fluid flows where the viscosity of the fluid
is neglected. In this chapter, the flow field will be analyzed by the mathematical
equations or model either using the
Ordinary Differential Equations (ODE)
Ordinary Differential Equations (ODE)
Homogeneous DE
dy
y
f ( x, y) where f ( x, y) g then
dx
x
the DE is homogeneous or is homogeneous if the function f(x,y) is homogeneous, that isf (tx, ty) f ( x, y) . If f (tx,
MOMENT OF A FORCE
Objectives :
Students will be able to:
a) understand and define moment, and,
b) determine moments of a force in 2-D and 3-D cases.
Moment of a
force
APPLICATION
What is the net
effect of the two
forces on the wheel?
APPLICATION
What is t
EMD112/2
CONCEPTUAL DESIGN &
COMPUTER AIDED DESIGN (CAD)
Engineering Design:
Defining and solving design problems
Ir. Dr. Abdus Samad Mahmud
abdus@usm.my
OUTLINE
1.Introduction to engineering design
2.Overview of engineering design process
3.Product and p
EQUIVALENT FORCE-COUPLE SYSTEMS
Objectives:
Students will be able to:
1) Determine the effect of moving a force.
2) Find an equivalent force-couple system for a system of
forces and couples.
Mechanical Engineering 2011
1
APPLICATIONS
What is the resultant
Todays objectives
We are able to:
a) Represent a 3-D vector in a Cartesian
coordinate system.
b) Find the magnitude and coordinate
angles of a 3-D vector
c) Add vectors (forces) in 3-D space
Mechanical Engineering
1
CARTESIAN VECTOR NOTATION 3D
Many probl
EQUILIBRIUM OF A RIGID BODY
Objectives:
Students will be able to
a) Identify support reactions, and,
b) Draw a free diagram.
A steel beam is used to
support roof joists. How can
we determine the support
reactions at A & B?
1
APPLICATIONS
A 200 kg platform
New Product Development
Process
Muhammad Iftishah Ramdan, PhD.
Definitions
A PRODUCT is something sold by an
enterprise to its customers
PRODUCT DEVELOPMENT is the set
of activities beginning with the
perception of a market opportunity
and ending in the p
EQUIVALENT FORCE-COUPLE SYSTEMS
Objectives:
Students will be able to:
1) Determine the effect of moving a force.
2) Find an equivalent force-couple system for a system of
forces and couples.
Mechanical Engineering, 2011
1
REDUCTION OF DISTRIBUTED LOADING
CHAPTER 4
EQUILIBRIUM OF A RIGID BODY
Objectives:
a) Concept of free body diagram (FBD), and how to
draw the FBD,
b) Apply equations of equilibrium to solve 2-D and 3-D
problems.
Mechanical Engineering 2011
1
APPLICATIONS
2
APPLICATIONS
For a spool of giv
FRICTION
W
FBD
W
F
F
Fs
N
N=NormalForce
Fs =StaticFrictionForce
.
Fs
Fs = Fs
N=N
N R
Given:
Fs =sN
s =Coefficientofstaticfriction
Exampleofvaluesofs:
Metalvs ice=0.03 0.05
Woodvs wood=0.30 0.70
Aluminum vs aluminum =1.10 1.70
ANGLEOFFRICTION
W
Oncondition
RIGID BODY EQUILIBRIUM IN 3-D
Objective:
Students will be able to
a) Identify support reactions in 3-D and draw a free body
diagram, and,
b) Apply the equations of equilibrium.
Mechanical Engineering 2011
1
APPLICATIONS
Ball-and-socket joints and journal
Draw the FBD
A
Mechanical Engineering 2011
1
The springs on the rope assembly
are originally stretched 1 ft when
= 0o. Determine the vertical
force F, so that = 30o.
2
Example
A scale is constructed with a 4-ft-long cord
and the 10-lb block D. The cord i
Topic Objectives
How to add forces and resolve them into
components using Parallelogram Law.
To express force and position in
Cartesian vector form
How to determine the vectors magnitude
and direction
Mechanical Engineering
1
APPLICATION OF VECTOR ADDI
2D & 3D coordinate
transformations
EMD 112
Dr Muhammad Iftishah Ramdan
Basic matrix algebra
Basic matrix multiplication [4x4] x [2x1]
x' a b x
y ' c d y
x' ax by
y ' cx dy
2D transformation
Transformations are fundamental in computer
graphics
U
Exercises on Ordinary Differential Equation
Solve the following differential equations.
1.
( x e y )dy dx 0
2.
xdy ydx 2 x 2 y 2 dy
3.
x
2x
y
x2
2
dx 2
2 dy 0
2
2
y
y x y
x y
4.
x2 y 2
(2 y 1)dx
dy 0
x
5.
dy
3x 2 y y 2
dx
2 x3 3xy
6.
xy y
EMM 102/3
STATICS
Chapter 1: Introduction
http:/elearning.usm.my
Go to: EMM 102 Statics
Mechanical Engineering
1
Topic objectives
To provide an introduction to the engineering
mechanics
To give a statement of Newtons Laws of
Motion and Gravitation.
To