Abstract
Vibrational, or oscillatory, motion is important not only because it is common but because it is a basic constituent of wave motion. This chapter discusses the mechanics of particles and rigid bodies. It presents a type of motion that is called simple harmonic motion (SHM). The chapter describes that a system executes SHM if its acceleration and displacement are directly proportional but in opposite directions. SHM describes the motion, projected on a diameter, of an object engaged in uniform circular motion. The chapter describes the transient behavior of a harmonic oscillator that is subjected to a dampening mechanism. It also discusses the steady-state response of a damped oscillator to a sinusoidal driving force. The most striking feature of oscillatory motion is its regularity. That regularity is characterized by the time between vibrations. The time required for one complete oscillation of a system or body is called the period.
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