Vibrations
 

Preface Introduction
Mass, Acceleration and Force
Gravitational Forces
Continua
Mechanical Vibrations & their Characteristic Modes
Friction
Vibration of Drill Rigs
Vortex-Induced Vibrations
Feedback
Stable & Unstable Motion induced by Forced Vibrations
Aerodynamics
Human-induced Vibrations
Electromagnetism
Probability Waves & Quantum Mechanics 

 

Mass, Acceleration and Force

  This mechanical example illustrates the role of the "masses" of the accelerating lumps in the dynamical system and the manner in which the elastic properties of the spring continuously determine their motion. The concepts of "mass", "acceleration" and "force" provided the key ideas that led NewtonIsaac Newton to formulate his famous laws of dynamics in the 18th Century. They express in concise terms the large scale behaviour of material bodies under prescribed forces. They laws give an excellent deterministic description of the behaviour of matter provided its motion never approaches speeds comparable with 108 ms-1. Indeed until the discovery of "chaotic systems", the need to distinguish "determinism" from "predictability" and the laws of quantum physics, the whole Universe appeared like a gigantic clockwork machine of interacting particles unwinding according to the laws of Newtonian dynamics.