- Professor Nicholas Mitchell (Professor, Department of Electronic & Electrical Engineering, The University of Bath - The University of Bath)
|Delivery Type||Delivery length / details|
|Tutorial||6 x 1 Hour Tutorials|
|Lecture||22 x 1 Hour Lectures|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours Written Examination||70%|
|Semester Assessment||Coursework Assignments||30%|
|Supplementary Exam||2 Hours Written Examination||100%|
On successful completion of this module students should be able to:
1. State and demonstrate an understanding of fundamental principles in classical dynamics.
2. Recall theory relating to translational motion, rotational motion and oscillations.
3. Apply appropriate mathematical techniques to translational motion, rotational motion and oscillations.
4. Solve well-defined numerical problems relating to translational motion, rotational motion and oscillations, and interpret the results in the physical context.
5. Construct well-defined mathematical equations to express problems in classical dynamics and explain the application of the equations in the specified contexts.
The module develops the student's understanding of the principles and techniques of dynamics. Emphasis is placed on solving problems. Numerical examples are provided for the student to practice. The module is appropriate as a first-year core module in Physics and Mathematics honours degree schemes, and it prepares the student to use the topics in more advanced Part 2 modules.
The module provides an introduction to the classical theory of dynamics. It comprises three main parts, following a brief recap of vector manipulation. The first part covers classical kinematics, Newton's Laws of Motion, momentum, forces, work and mechanical energy. The second part introduces rotational motion and illustrates the parallels with translational motion. The theory of oscillations is introduced in the third part, covering the classical harmonic oscillator, resonance, and coupled oscillators.
Vector and scalar quantities. Position vector. Orthogonal unit vectors.
Manipulation of vectors: addition, resolving, scalar and vector products.
1. Kinematics of a particle: constant acceleration, projectile motion.
2. Newton's Laws of Motion: momentum, forces (including weight, normal, frictional, tension, elastic, drag), circular motion.
3. Work, Energy and Power: work done by force, kinetic energy, conservative force, power, potential energy (gravitational and spring), conservation of mechanical energy.
4. Centre of mass: system of particles, system of uniform density.
5. Collisions: conservation of momentum, coefficient of restitution.
1. Rotation of solid bodies: angular velocity, angular acceleration, moment of inertia, angular momentum, torque.
2. Parallels between translational and rotational motion.
1. Simple Harmonic Motion: period, amplitude, velocity, acceleration, energy.
2. Simple Harmonic Motion in mechanical systems.
3. Damped and forced oscillations, resonance.
4. Coupled oscillations: normal modes.
|Skills Type||Skills details|
|Application of Number||Numerical problems in examples sheets and the examination paper develop skills in application of number.|
|Improving own Learning and Performance||Examples sheets and an electronic homework package encourage self-directed learning and improved performance. Solutions are provided to examples sheets. Additional examples are provided on Blackboard.|
|Problem solving||Problem solving skills are developed throughout this module and tested in assignments and in the written examination.|
|Research skills||Directed reading and Blackboard examples allow the student to investigate the topics covered in the module.|
|Subject Specific Skills||Dynamics is a core topic in Physics and Mathematics.|
This module is at CQFW Level 4