# Part IA - Dynamics and Relativity

## Lectured by G. I. Ogilvie, Lent 2015

These notes are not endorsed by the lecturers, and I have modified them (often significantly) after lectures. They are nowhere near accurate representations of what was actually lectured, and in particular, all errors are almost surely mine.

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# Contents

- V Full version
- 0 Introduction
- 1 Newtonian dynamics of particles
- 2 Dimensional analysis
- 3 Forces
- 3.1 Force and potential energy in one dimension
- 3.2 Motion in a potential
- 3.3 Central forces
- 3.4 Gravity
- 3.5 Electromagnetism
- 3.6 Friction
- 4 Orbits
- 4.1 Polar coordinates in the plane
- 4.2 Motion in a central force field
- 4.3 Equation of the shape of the orbit
- 4.4 The Kepler problem
- 4.5 Rutherford scattering
- 5 Rotating frames
- 6 Systems of particles
- 6.1 Motion of the center of mass
- 6.2 Motion relative to the center of mass
- 6.3 The two-body problem
- 6.4 Variable-mass problem
- 7 Rigid bodies
- 7.1 Angular velocity
- 7.2 Moment of inertia
- 7.3 Calculating the moment of inertia
- 7.4 Motion of a rigid body
- 8 Special relativity