The University of Southampton
Courses

# GENG0003 Mechanical Science

## Module Overview

This module offers an introduction to the scientific principles and methods of mechanics.

### Aims and Objectives

#### Learning Outcomes

##### Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• Newton's laws of motion and their application to systems in equilibrium, and to rigid bodies moving under the action of simple systems of forces.
• The concept of a vector and how vectors can be used to solve problems in mechanics
• The concepts of momentum, work, energy and power
• The ideas relevant to simple field theory, and common devices based on these principles
##### Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Apply theoretical knowledge to model real-world systems and to solve simple practical problems in statics and in linear and rotational dynamics and simple field theory
##### Transferable and Generic Skills

Having successfully completed this module you will be able to:

• Apply mathematical methods to solve problems
• Apply problem solving techniques to familiar and unfamiliar problems

### Syllabus

Statics • scalar and vector quantities • addition, subtraction and resolution of coplanar vectors • moments, torques and couples • conditions for equilibrium of coplanar forces acting at a point and in simple structures • tensile and compressive stresses and strains, Hooke’s law, Young’s modulus, plastic deformation, elastic strain energy, yield stress, ultimate tensile stress, work done in stretching • centres of mass and centroids Linear Dynamics • Displacement, speed, velocity and acceleration; graphical representation of motion at i) constant speed ii) constant acceleration; use of equations of motion for constant acceleration • independence of motion in two perpendicular directions • force, mass and momentum • Newton’s laws of motion • systems with friction, limiting friction • efficiency of processes and sources of energy loss • conservation of momentum in two body collisions Work, Energy and Power • work = force × distance • power as rate of doing work • kinetic energy and change in gravitational potential energy • the principle of conservation of energy Rotational Dynamics • circular motion at constant speed, centripetal acceleration • angular displacement, speed, acceleration, frequency and period; rotational energy and momentum • circular motion with constant acceleration • moment of inertia Electro-magnetism • Electric charge, Coulomb’s Law, Electric Field E, Lines of Force – field due to spherically symmetric and planar charge distributions. Electric Fields • Electric Potential and Potential difference, Relation between E and V Charged conductors, screening of electric fields. • Capacitors from first principles- capacitance of a parallel plate capacitor, qualitative description of material dielectrics Magnetic Fields • Definition of the B field in terms of the force on a moving charge. Magnetic flux • Motion of charged particles in a magnetic field, force on a current carrying conductor – electric motor, loudspeakers. • The magnetic field created by moving charges – Biot-Savart Law.

### Learning and Teaching

#### Teaching and learning methods

Learning activities include • Individual work on examples, supported by tutorial/workshop sessions. • Elements of the coursework module GENG0015, may support your learning in this module. Teaching methods include • Lectures, supported by example sheets. • Tutorials/Workshops. • Printed notes available through Blackboard and/or through your module lecturer.

TypeHours
Preparation for scheduled sessions32
Revision12
Lecture36
Tutorial36
Follow-up work32
Total study time150

Any A level physics text. e.g. A Level Physics, Muncaster, Nelson Thornes, 4th edition, 1993, ISBN 0748715843, Hartley Library Classification QC 21 MUN

Any A level applied maths text. e.g. Understanding Mechanics, Sadler &Thorning, OUP, 1996, ISBN 0199146764, Hartley Library Classification QC 174.1 SAD

### Assessment

#### Assessment Strategy

External repeat students will have marks carried forward from the previous year for tests (5%), and therefore exam will contribute 95% of total assessment.

#### Summative

MethodPercentage contribution
Final Assessment   ( hours) 100%

#### Referral

MethodPercentage contribution