MODULE TITLE

Vector Mechanics

 

CREDIT VALUE

15

MODULE CODE

PHY1021

MODULE CONVENER

Dr F. Gielen

 

 

DURATION

TERM

1

2

3

Number Students Taking Module (anticipated)

149

WEEKS

T1:01-05,07-12

 

DESCRIPTION – summary of the module content (100 words)

This module uses lectures and guided self-study to develop students' understanding of Newtonian classical mechanics and special relativity. Although some of the concepts will be familiar from A-level, vector notation will be used throughout. Particular emphasis is placed on the precise and consistant application of the laws and methods.

MODULE AIMS – intentions of the module

Our interest in mechanics arises from its general applicability to a vast number of familiar phenomena. This module provides meaningful and easily visualizable problems which allow development of the skills of problem solving, required in all the fields of physics. It provides the necessary background to later modules that will apply the principles of mechanics to the solution of more complex problems.

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

 On successful completion of this module you should be able to:

Module Specific Skills and Knowledge:

  1. recognise and describe the forces that are relevant in a given mechanics situation;
  2. describe the origin of and relationship between these forces, and to describe what their consequences will be;
  3. solve a range of mechanics problems as defined by the syllabus below, and by examples given in the lectures and worksheets;

Discipline Specific Skills and Knowledge:

  1. apply general problem-solving strategies not only to mechanics but also to the solution of other physics problems;
  2. demonstrate a knowledge of mechanics that will be applicable in a range of other physics modules;
  3. use vector notation consistently and correctly as an integral part of solving problems;
  4. use symbols that represent the numerical value and units of the physical quantities, and manipulate/evaluate expressions involving such symbols in a precise and consistent manner;

Personal and Key Transferable / Employment Skills and Knowledge:

  1. undertake guided self-study successfully;
  2. develop appropriate time-management strategies and meet deadlines for completion of work.

SYLLABUS PLAN – summary of the structure and academic content of the module

  1. Vectors and Scalars
    1. Introduction
    2. Definition of vectors and scalars
    3. Scalar and vector algebra
    4. Transformations and the transformation matrix
    5. Study Package 1: displacement and distance, equations of lines and planes, triple products
  2. Newtonian Physics
    1. Newton's laws and the principle of relativity, Galilean transformations
    2. Study Package 2: average and instantaneous velocity, motion under constant acceleration, relative velocity
    3. Translational and rotational dynamics, moments, moment of inertia
    4. Work done by forces, kinetic and potential energy, power
    5. Conservative and non-conservative forces
    6. Study Package 3: physics of friction, tensile forces in free body diagrams, concept of impulse
    7. Conservation theorems, energy diagrams, friction
    8. Two-particle systems, centre of mass, rocket motion, collisions, kinetic energy, zero-momentum frame
    9. Rigid bodies, moment of inertia, axis theorems
    10. Study Package 4: rotation with constant angular acceleration, moment and product of inertia, rotation about a moving axis
  3. Einsteinian Physics
    1. A brief history, the special theory of relativity, Lorentz transformations
    2. Study Package 5: Michelson-Morley experiment, Doppler effect, Newton's laws
    3. The invariance of the space-time interval, the light cone, relativistic kinematics
    4. Relativistic dynamics, collisions

 

LEARNING AND TEACHING

 

LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)

Scheduled Learning & Teaching activities  

34 hours

Guided independent study  

116 hours

Placement/study abroad

0 hours

 

DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS

 Category 

 Hours of study time 

 Description 

Scheduled Learning & Teaching activities

22 hours

22×1-hour lectures

Guided independent study

30 hours

5×6-hour self-study packages

Guided independent study

14 hours

7×2-hour problems sets

Scheduled Learning & Teaching activities

9 hours

Problems class support

Scheduled Learning & Teaching activities

3 hours

Tutorial support

Guided independent study

72 hours

Reading, private study and revision

 

ASSESSMENT

 

 FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade

Form of Assessment

Size of the assessment e.g. duration/length

ILOs assessed

Feedback method

Exercises set by tutor

3×1-hour sets (typical)

1-7

Discussion in tutorials

Guided self-study

5×6-hour packages

1-7

Discussion in tutorials

SUMMATIVE ASSESSMENT (% of credit)

Coursework

10%

Written exams

90%

Practical exams

0%

 

DETAILS OF SUMMATIVE ASSESSMENT

Form of Assessment

 

% of credit

Size of the assessment e.g. duration/length

 ILOs assessed 

Feedback method

7 × Problems Sets

10%

2 hours per set

1-7

Marked in problems class, then discussed in tutorials

Mid-term Test 1

15%

30 minutes

1-7

Marked, then discussed in tutorials

Mid-term Test 2

15%

30 minutes

1-7

Marked, then discussed in tutorials

Final Examination

60%

120 minutes

1-7

Mark via exehub, collective feedback via ELE and solutions.

 DETAILS OF RE-ASSESSMENT (where required by referral or deferral)

Original form of assessment

 Form of re-assessment 

ILOs re-assessed

Time scale for re-assessment

Whole module

Written examination (100%)

1-7

August/September assessment period

RE-ASSESSMENT NOTES  

See Physics Assessment Conventions.

 

RESOURCES

 

 INDICATIVE LEARNING RESOURCES -  The following list is offered as an indication of the type & level of information that you are expected to consult. Further guidance will be provided by the Module Convener.

Core text:

Supplementary texts:

ELE:

CREDIT VALUE

15

ECTS VALUE

7.5

PRE-REQUISITE MODULES

none

CO-REQUISITE MODULES

Mathematics Skills (PHY1025)

NQF LEVEL (FHEQ)

4

AVAILABLE AS DISTANCE LEARNING

NO

ORIGIN DATE

01-Oct-10

LAST REVISION DATE

08-Nov-12

KEY WORDS SEARCH

Physics; Body; Conservation rules; Energy; Force; Classical mechanics; Momentum; Motion; Newton's Laws; Particle; Special Relativity; Vectors.

Module Descriptor Template Revised October 2011