# Henry Tan's blog

## 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.

## 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

3rd law

## Lecture 3: Equilibrium of many-particle system: Moment

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.

## 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.

## MACE-11010 Calendar

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

## 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)

## Kinetic and potential energies

Kinetic and potential energies.

## Equations of motion of a particle

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

## Pin-jointed structures

Some interesting posts are listed here for course discussions:

## using iMechanica in teaching Engineering Mechanics

Why iMechanica?

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

## 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?

## 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.

## 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.

## 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).

## Condition monitoring and explosion-proof design

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

## 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

## 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

## 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

## Pages 