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Introduction to Oscillatory Motion and Waves. What do an ocean buoy, a child in a swing, the cone inside a speaker, a guitar, atoms in a crystal, the motion of chest cavities, and the beating of hearts all have in common? They all oscillate—-that is, they move back and forth between two points.
An oscillation is a back and forth motion of an object between two points of deformation. An oscillation may create a wave, which is a disturbance that propagates from where it was created. The simplest type of oscillations and waves are related to systems that can be described by Hooke’s law.
Oscillatory Motion. 4.1 The Important Stuff. 4.1.1 Simple Harmonic Motion. In this chapter we consider systems which have a motion which repeats itself in time, that is, it is periodic. In particular we look at systems which have some coordinate (say, x) which has a sinusoidal dependence on time.
OSCILLATIONS AND WAVES. 4.1 Harmonic Oscillation. 4.1.1 Springs and the Simple Harmonic Motion (SHM) Periodic Motion. A periodic motion is a motion of an object that regularly returns to a given position after a fixed time interval. Simple Harmonic Motion (SHM) The force is proportional to the distance from the equilibrium position.
We begin by studying the type of force that underlies the simplest oscillations and waves. We will then expand our exploration of oscillatory motion and waves to include concepts such as simple harmonic motion, uniform circular motion, and damped harmonic motion.
12 Μαρ 2024 · Table of contents. Figure 5.1.1 5.1. 1: There are at least four types of waves in this picture—only the water waves are evident. There are also sound waves, light waves, and waves on the guitar strings. (credit: John Norton)
Lecture 1: Mathematical Modeling and Physics (PDF) Lectures 2–3: Simple Harmonic Oscillator, Classical Pendulum, and General Oscillations (PDF) Lecture 4: Damped Oscillations (PDF) Lecture 5: Driven Oscillations (PDF) Lecture 6: Coupled Oscillations (PDF)
