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CHAPTER THIRTEEN. OSCILLATIONS. 13.1 INTRODUCTION. In our daily life we come across various kinds of motions. You have already learnt about some of them, e.g., rectilinear motion and motion of a projectile. Both these motions are non-repetitive. We have also learnt about uniform circular motion and orbital motion of planets in the solar system.
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.
Lecture 1: Mathematical Modeling and Physics (PDF) Lectures 2–3: Simple Harmonic Oscillator, Classical Pendulum, and General Oscillations (PDF) Lecture 4: Damped Oscillations (PDF)
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.
Lecture Video: Periodic Oscillations, Harmonic Oscillators. In this lecture, Prof. Lee discusses the mathematical description of the periodic oscillation and simple harmonic oscillators. The first 5 minutes are devoted to course information. Beginning of dialog window.
Any material medium can be pictured as a collection of a large number of coupled oscillators. The collective oscillations of the constituents of a medium manifest themselves as waves. Examples of waves include water waves, seismic waves, electromagnetic waves. We shall study the wave phenomenon in the next chapter.
