Basic Operations with Force System
TGWN 121
North-West University
gabriel.magalakwe@nwu.ac.za
August 2015
Overview
Changing the Line of Action of a Force
How to change the line of action of a force without aecting
its external eect on a rigid body?
Consid

Basic Operations with Force System
TGWN 121
North-West University
17065828@nwu.ac.za
August 2015
Overview
Couples
As pointed out before, a force has two eects on a rigid body:
translation due to the force itself and rotation due to the
moment of the force

Basic Operations with Force System
TGWN 121
North-West University
17065828@nwu.ac.za
August 2015
Overview
Moment of a Force about an Axis
The moment of a force about an axis, called the moment axis,
is most easily dened in terms of the moment of the force

Basic Operations with Force System
TGWN 121
North-West University
gabriel.magalakwe@nwu.ac.za
August 2015
Moment of a Force about a Point
In general, a force acting on a rigid body tends to rotate, as
well as translate, the body.
The force itself is the t

Mathematical Modelling
TGWN 121
North-West University
17065828@nwu.ac.za
August 2015
Overview
Modeling Using Geometric Similarity
Modeling a Bass Fishing Derby
For conservation purposes, a sport shing club wishes to
encourage its members to release their

Mathematical Modelling
TGWN 121
North-West University
gabriel.magalakwe@nwu.ac.za
July 2014
Overview
Modeling Using Geometric Similarity
Modelling Using Geometric Similarity
Geometric similarity is a concept related to proportionality and
can be useful to

Mathematical Modelling
TGWN 121
North-West University
gabriel.magalakwe@nwu.ac.za
July 2014
Overview
Previously
Modeling Using Proportionality
Previously
Problem: Identify a problem worth studying.
Variables: List the variables that aect the behaviour you

Introduction to Statics
TGWN 121
North-West University
gabriel.magalakwe@nwu.ac.za
July 2014
Overview
Vector Multiplication
Dot (Scalar or inner) product
Angle Between Two Vectors
Orthogonal Component of a Vector in a Given Direction
Cross (vector or oute

Introduction to Statics
TGWN 121
North-West University
gabriel.magalakwe@nwu.ac.za
21 July 2014
Overview
Introduction
Newtonian Mechanics
What is engineering mechanics?
Before dening engineering mechanics, we must rst consider
the similarities and dierenc

Introduction to Statics
TGWN 121
North-West University
gabriel.magalakwe@nwu.ac.za
July 2014
Overview
Representation of Vectors Using Rectangular Components
Lesson Outcomes
At the end of todays lesson you should be able to
write the magnitude of a vector

Mathematical Modelling
TGWN 121
North-West University
sicelo.goqo@nwu.ac.za
22 July 2014
Overview
Introduction
Mathematical models
What is Mathematical modelling?
Mathematical modelling is the use of mathematics to
describe real-world phenomena
investigat

Basic Operations with Force System
TGWN 121
North-West University
gabriel.magalakwe@nwu.ac.za
July 2014
Lesson Outcomes
At the end of todays lesson you should be able to
dene the following
concurrent, equivalent, principle of transmissibility
replace a sy