Study-Unit Description

Study-Unit Description


CODE ENR0007

 
TITLE Principles of Classic Mechanics

 
UM LEVEL 00 - Mod Pre-Tert, Foundation, Proficiency & DegreePlus

 
ECTS CREDITS 6

 
DEPARTMENT Faculty of Engineering

 
DESCRIPTION 1. Basic quantities and SI units
- Homogeneity of physical equations.

2. Scalar and Vector quantities
- Definition;
- Characteristics of free, sliding, and fixed vector;
- Resolution of vectors/forces in Cartesian coordinate system, and in general system;
- Addition/subtraction of vectors: Parallelogram of vectors/forces, triangle of three vectors/forces;
- Multiplication of vectors/forces by a scalar;
- Product of two vectors – dot product, and cross product.

3. Force and Moment
- Definition of a force;
- Force resultants, centre of gravity;
- Moment as a turning effect of a force with respect to point;
- Moment of a couple.

4. Newton’s laws
- Newton’s laws - Archimedean up-thrust, aerodynamic lift, gravitational law;
- Equilibrium of a rigid body.

5. Dynamics
- Linear motion - Distance, displacement, speed, velocity, acceleration Displacement – time and velocity – time graphs;
- Circular motion - Angular velocity, speed, frequency, period, angular acceleration, centripetal acceleration;
- Curvilinear motion – Projectiles;
- Simple harmonic motion - Motion of a particle, algebraic and graphical interpretation, Velocity – time and acceleration – time graphs;
- Second Newton’s law – rectilinear motion, Linear momentum;
- Rigid body rotating about the fixed axis – energy of rotating rigid body, angular momentum, conservation of angular momentum.

6. Energy
- Work and power;
- Gravitational and elastic potential energy;
- Kinetic energy;
- Law of conservation of energy, concept of efficiency.

7. Characterization of mechanical properties
- Hooke’s law;
- Force – extension graph;
- Proportional limit, elastic limit, yield point, elasto-plastic, plastic behaviour.

8. Determination of Young’s modulus

9. Elastic strain energy

10. Vibration
- Progressive waves, displacement – position and displacement – time graphs, progressive wave equation;
- Longitudinal and transverse progressive waves, spring and sound waves;
- Superposition of waves, nodes and antinodes, progressive and stationary waves;
- Free, forced, and damped vibration;
- Mechanical resonance.

Study-unit Aims:

To provide:
- Core concepts of classical mechanics;
- An introductory overview to the application of these concepts in engineering practice.

Learning Outcomes:

1. Knowledge & Understanding
By the end of the study-unit the student will be able to:

- Recognise the significance of basic quantities and SI units;
- Define and describe the characteristics of Scalar and Vector quantities;
- Characterise forces and moments and model them mathematically;
- Describe Newton’s laws of motion (including static cases) and apply them mathematically to real systems by means of free body diagrams;
- Discuss the laws of energy and how they are applied to a real system/plant;
- Describe Hooke’s law and its applications to mechanical components and engineering materials;
- Outline free, forced, and damped vibration.

2. Skills
By the end of the study-unit the student will be able to:

- Quantify mechanical parameters in terms of their basic quantities and respective SI units;
- Add, subtract and multiply vectors;
- Describe the action of a field or body onto a body in terms of forces and moments;
- Draw a free body diagram of a mechanics problem and use it to apply Newton’s laws of motion (including static cases);
- Apply the laws of energy to practical problems;
- Determine the stiffness of a component or the Young’s modulus of a material;
- Determine if a system is undergoing free, forced or damped vibrations;
- Describe linear, circular, curvilinear and simple harmonic motion;
- Distinguish longitudinal and transverse progressive waves.

Main Text/s and any supplementary readings:

- Nelkon, M., & Parker, P. (1987). Advanced level physics (6th ed.). Heinemann Educational.
- Nelkon, M. (1988). Advanced level physics : Examples and exercises (6th ed.). Heinemann Educational.

 
STUDY-UNIT TYPE Lecture, Independent Study & Tutorial

 
METHOD OF ASSESSMENT
Assessment Component/s Assessment Due Sept. Asst Session Weighting
Progress Test (2 Hours) SEM1 Yes 20%
Examination (2 Hours) SEM1 Yes 80%

 
LECTURER/S Leo Scicluna

 

 
The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints.
Units not attracting a sufficient number of registrations may be withdrawn without notice.
It should be noted that all the information in the description above applies to study-units available during the academic year 2024/5. It may be subject to change in subsequent years.

https://www.um.edu.mt/course/studyunit