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The description of a periodic motion, in general, and oscillatory motion, in particular, requires some fundamental concepts, like period, frequency, displacement, amplitude and phase. These concepts are developed in the next section. 13.2 PERIODIC AND OSCILLATORY MOTIONS. Fig. 13.1 shows some periodic motions.
WAVES We have seen that motion of mechanical waves involves oscillations of constituents of the medium. If the constituents of the medium oscillate perpendicular to the direction of wave propagation, we call the wave a transverse wave. If they oscillate along the direction of wave propagation, we call the wave a longitudinal wave.
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.
CHAPTER FOURTEEN. OSCILLATIONS. 14.1 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.
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.
Lecture 1: Mathematical Modeling and Physics (PDF) Lectures 2–3: Simple Harmonic Oscillator, Classical Pendulum, and General Oscillations (PDF) Lecture 4: Damped Oscillations (PDF)
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.