PHYS10672
Advanced Dynamics
10
Semester 2
Undergraduate
Level 1
Richard Battye
Unit coordinator
Department of Physics & Astronomy
1
FHEQ level (Framework for Higher Education Qualifications) ' First part HE study/Bachelors '
European Credit Transfer & Accumulation System Rating : 5.0
<p>Advanced Dynamics</p>
<p>Advanced Dynamics</p>
<p>To enhance knowledge and understanding of classical mechanics and relativity.</p>
<p>On successful completion of PHYS10672, a student will be able to:</p><p><br>1. Apply Newton's theory of gravitation to problems of planetary motion and space travel.<br>2. Use inertial forces to explain motion from the viewpoint of rotating frames of reference.<br>3. Derive the general relation between the angular velocity and angular momentum of a rigid body, and use this to solve problems in rotational dynamics.<br>4. Solve problems in relativistic dynamics using the covariant formalism and energy-momentum four vectors.<br> </p><p> </p>
<p><strong>1.Preliminaries (3 Lectures)</strong><br>Newton’s laws of motion<br>Linear and angular momentum, force and torque<br>The two-body system<br><strong>2. Gravitation (6 Lectures)</strong><br>Force fields and potentials<br>Newtonian gravity<br>Kepler’s motion in a central force field<br>Particle orbits as conic sections and Kepler's laws<br><strong>3. Noninertial Frames of Reference (3 Lectures)</strong><br>Motion in rotating frames<br>Centrifugal and coriolis forces<br><strong>4. Rigid-Body Motion (6 Lectures)</strong><br>Angular velocity and angular momentum vectors<br>Moment-of-inertia tensor<br>Principal moments of inertia<br>Euler's equations<br>Free rotation and stability<br>Gyroscopes<br><strong>5. Relativistic Dynamics (6 Lectures)</strong><br>Principles of special relativity<br>The covariant formalism<br>Lorentz transformations and relativistic invariance<br>Relativistic momentum and energy<br>Applications to relativistic kinematics - Syllabus and literature will be provided.<br><o:p></o:p></p>
1
Written exam
100%
<p>Feedback will be provided via solutions to the problem sheets, which will be made available electronically on Teachweb and Blackboard. More detailed feedback will be provided in the exercise class which are integrated within the 24 lectures.</p>
PHYS10071
Mathematics 1
Pre-Requisite
Compulsory
PHYS10101
Dynamics
Pre-Requisite
Compulsory
PHYS10121
Quantum Physics and Relativity
Pre-Requisite
Compulsory
<p><i><strong>Desirable/Complementary Content:</strong></i></p><ul><li><span style="background-color:rgb(255,255,255);color:rgb(0,0,0);"><span style="-webkit-text-stroke-width:0px;display:inline !important;float:none;font-family:"Aptos Narrow";font-size:16px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;orphans:2;text-align:left;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:pre-wrap;widows:2;word-spacing:0px;">Mathematics 2 PHYS10372 </span></span></li><li><span style="background-color:rgb(255,255,255);color:rgb(0,0,0);"><span style="-webkit-text-stroke-width:0px;display:inline !important;float:none;font-family:"Aptos Narrow";font-size:16px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;orphans:2;text-align:left;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:pre-wrap;widows:2;word-spacing:0px;">Vibrations & Waves PHYS10302</span></span></li></ul>
N
<p>Barger, V. D. & Olsson, M. G. <em>Classical Mechanics: a Modern Perspective</em>, (McGraw-Hill)</p><p><br />
Forshaw, J. & Smith, A. G. <em>Dynamics and Relativity</em>, (Wiley)</p><p><br />
Marion, J. B. & Thornton, S. T. <em>Classical Dynamics of Particles and Systems</em>, (Academic)<br />
</p><p>Spiegel, M. R. <em>Schaum’s Outline of Theoretical Mechanics</em>, (McGraw-Hill Book Company).<br />
</p>
Assessment written exam
1.5
Lectures
24
Seminars
6
0
68.5