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Discussions on this way of teaching

On the assessment method. Thanks for many feedbacks. I will review them with you in the class.

Survey on the grading system. Survey sheet attached.

back to MACE-11010  Engineering Mechanics

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Lecture 1: Forces and Newton's laws

When emailing the lecture-note to imechanica@gmail.com with the subject title as Lecture 1, please also put your information in the text message: Name, University ID, and Aerospace/Mechanical Engineering. Thanks.

  1. A force is a relationship
  2. A force is a vector

Newton's laws of motion

3rd law

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Lecture 3: Equilibrium of many-particle system: Moment

1. Cross product of two vectors

2. Equilibrium of many-particle system

  1. Defition of moment vector

  2. Mathematica deduction
    motivation: establish the concept of moment from the requirement of the Newton's laws when applied to many-particle system.

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Introduction

What is the purpose of the course?
Ensure students have a clear working understanding of the principles of engineering mechanics and an ability to apply them to simple engineering systems.

Brief description of the unit
• Scalar and vector quantities.
• Forces and Newton's laws of motions.
• Kinematics of a particle; co-ordinate systems.

• Equivalent force systems
• Equilibrium and the construction of free-body diagrams.
• Pin-jointed structures.
• Friction; self-locking systems.

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MACE-11010 Calendar

Introduction (27/9, Thursday, 11-12am)
Survey (28/9, Friday, 3-4pm) 

Grading System

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Problem sets for MACE-11010 Engineering Mechanics

Please note that according to the New Grading System, no marks can be gained from answering the following questions. (1 October 2007)

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Kinetic and potential energies

Kinetic and potential energies.

back to MACE-11010  Engineering Mechanics

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Equations of motion of a particle

Newton's 2nd law will be applied to study the equations of motion of a particle.

back to MACE-11010  Engineering Mechanics

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using iMechanica in teaching Engineering Mechanics

New Grading System posted 

Why iMechanica?

iMechanica is an appropriate website for teaching/learning Engineering Mechanics for the following reasons:

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interface cohesive energy

Many people here are interested in the behaviours of interfaces.

I am interested in having a list of the cohesive energy for interfaces between different materials, such as polymer/ceramics, polymer/metals, polymer/polymer, metals/ceramics, biological interfaces, carbon nanotube/polymer matrix, etc.

So, what is the magnitude of the cohesive energy per unit area of the interface you are studying?
 

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Kinematics of a particle; co-ordinate systems

  • To introduce the concepts of position, displacement, velocity, and acceleration.
  • To study 3D particle motion.
  • To investigate particle motion along a curved path using different coordinate systems.

back to MACE-11010  Engineering Mechanics

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Scalar and vector quantities

Scalars are quantities that have magnitude only; they are independent of direction.

Vectors have both magnitude and direction. The length of a vector represents magnitude. The arrow shows direction.

back to MACE-11010  Engineering Mechanics

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Forces and Newton's laws of motions

Newton's laws of motion

First
An object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

Second
The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

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MACE-11010 Engineering Mechanics

You are always welcome to visit my office (B14/Pariser), call (0161 306 8970), or email (henry.tan@manchester.ac.uk).

Grading System

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Condition monitoring and explosion-proof design

This blog focuses on machinery condition monitoring, explosion-proof design, and related issues.

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Instructional Design and Technology

Some topics on instructional design and technology may benefit iMechanica.

• New possibilities and proven practices: teaching with blogs, wikis, and discussion boards
• Critical approaches to teaching with technology
• Teaching with podcasts
• Designing and developing e-learning materials: when and where should teachers invest in design
• Multimedia: value, depth and access to other learning styles
• Supporting teaching and learning with mobile technologies
• The art of supporting educational technology: opportunities & challenges

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Can iMechanica replace mechanical seminars in the future?

Reading the article, future role of iMechanica (node/908) posted by Teng (user/10), I am thinking that iMechanica may replace mechanical seminars, lectures conducted by invited mechanicians, in the future.

Academic seminars have several functions: first, to exchange information; second, to build up connections.

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Overlaps in our knowledge structures

Each one of us developed his own knowledge structure. After graduation we followed different research interests, took different projects, and adopted different approaches, analytical, numerical, or experimental. Therefore the knowledge structure is unique for every person, coming from his/her education background and scientific experiences.

There are several levels for the overlapping in our knowledge structure.

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Modeling of explosive detonation

Advanced modeling of detonation dynamics in energetic materials and explosive systems
Stewart, D. Scott
American Physical Society, 59th Annual Meeting of the APS Division of Fluid Dynamics, November 19-21, 2006

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Hugoniot equation

The Rankine-Hugoniot equation governs the behaviour of shock waves (node/1245#comment-2327) normal to the oncoming flow.
http://en.wikipedia.org/wiki/Rankine-Hugoniot_equation

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Equations of State

An equation of state is a formula describing the interconnection between various macroscopically measurable properties of a system.

In physics and thermodynamics, an equation of state is a relation between state variables. More specifically, an equation of state is a thermodynamic equation describing the state of matter under a given set of physical conditions. It is a constitutive equation which provides a mathematical relationship between two or more state functions associated with the matter, such as its temperature, pressure, volume, or internal energy. Equations of state are useful in describing the properties of fluids, mixtures of fluids, solids, and even the interior of stars.
http://en.wikipedia.org/wiki/Equation_of_state

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