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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.
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.
15.1 Simple Harmonic Motion. Periodic motion is a repeating oscillation. The time for one oscillation is the period T and the number of oscillations per unit time is the frequency f. These quantities are related by \(f = \frac{1}{T}\).
Figure 4.1: Harmonic Oscillation of a mass at a spring. At the maximum elongation the spring is pulling on the mass. The mass gets accelerated towards the equilibrium position. At the equilibrium position the acceleration is zero and the velocity of the mass reaches its maximum.
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)
