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PC1672 Advanced dynamics


Weekly plan

1 Relativity: weeks 1-3 | 2 Noninertial frames: week 4
3 Gravity: weeks 5-8 | 4 Rigid-body motion: weeks 8-12

Week 1
Lecture 1
1.1 Symmetry in physics
Lecture 2
1.2 Lorentz invariance
1.3 Proper time

Week 2
Lecture 3
1.A Review of special relativity
Textbook reference: K&K 11-13
Lecture 4
1.4 Space-time 4-vectors


Examples 1 questions 1-4

Week 3
Lecture 5
1.5 Relativistic momentum and energy
Lecture 6
1.6 Relativistic kinematics


Examples 1 questions 5-8

Week 4
Lecture 7
2.1 Accelerating frames
2.2 Rotating frames
Lecture 8
2.3 Motion on the Earth
2.4 The weather


Examples 2 questions 1-6

Week 5
Lecture 9
3.1 Universal law of gravitation
3.2 Conservative forces
3.3 Gravitational potential energy
Lecture 10
3.4 Gravitational potentials
3.5 Reduced mass


Examples 3 questions 1-4

Week 6
Lecture 11
3.6 Central-force motion
Lecture 12
3.7 Orbits


Examples 3 question 5

Week 7
Lecture 13
3.8 The solar system
3.9 Satellites
3.10 Orbital energies
Lecture 14
3.11 Space travel
3.12 Tides


Examples 3 questions 6-11

Week 8
Lecture 15
3.13 Cosmology
Lecture 16
4.1 Angular momentum and angular velocity


Examples 4 question 1

Week 9
Lecture 17
4.2 Rigid bodies
4.3 Tensors
Lecture 18
4.4 Moment-of-inertia tensor


Examples 4 questions 2, 3

Week 10
Lecture 19
4.5 Principal axes
Lecture 20
4.5 Principal axes (continued)
4.6 Euler's equations


Examples 4 questions 4, 5

Week 11
Lecture 21
4.7 The symmetric top
Lecture 22
4.8 Stability of free rotation


Examples 4 questions 6-8

Week 12
Lecture 23
4.9 Gyroscopes


Examples 4 question 9

1 Relativity: weeks 1-3 | 2 Noninertial frames: week 4
3 Gravity: weeks 5-8 | 4 Rigid-body motion: weeks 8-12


Home: PC 1672 home page | Help: Guide to using this document |

Mike Birse
5th September 2001