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Dynamics and Relativity

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Author(s): G. I. Ogilvie, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part IA Lecture Notes
Publisher: University of Cambridge
Year: 2015

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; physics; mechanics

Introduction
Newtonian dynamics of particles
Newton's laws of motion
Galilean transformations
Newton's Second Law
Dimensional analysis
Units
Scaling
Forces
Force and potential energy in one dimension
Motion in a potential
Central forces
Gravity
Electromagnetism
Friction
Orbits
Polar coordinates in the plane
Motion in a central force field
Equation of the shape of the orbit
The Kepler problem
Rutherford scattering
Rotating frames
Motion in rotating frames
The centrifugal force
The Coriolis force
Systems of particles
Motion of the center of mass
Motion relative to the center of mass
The two-body problem
Variable-mass problem
Rigid bodies
Angular velocity
Moment of inertia
Calculating the moment of inertia
Motion of a rigid body
Special relativity
The Lorentz transformation
Spacetime diagrams
Relativistic physics
Geometry of spacetime
Relativistic kinematics
Particle physics