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__Harmonic Oscillations:__

__Simple Harmonic Oscillations -1 :__

__Key contents__

__Oscillations__

__Simple Harmonic Oscillations__

__Simple Harmonic Motions__

__Pendulums__

__Damped Oscillations__

__Forced Oscillations and Resonance__

__15.1 Oscillations__

__variations (What is varying?)__

__repeated → periodic__

__periodic variation → oscillation__

__Frequency of oscillation is the number of__

__oscillations that are completed in each second.__

__The symbol for frequency is usually f (or ν)__

__and its SI uit is Hertz (abbreviated as Hz).__

__It follows that__

__with T being the period.__

__Any oscillation that can be expressed with a__

__sinusoidal function is a harmonic oscillation.__

__When its amplitude is constant, it is a simple__

__harmonic oscillation.__

__That is,__

__x0 is the amplitude__

__t is the time__

__ω is the angular frequency,__

__φ is the phase constant or phase angle__

__(ωt+φ) is the phase__

__15.2 Simple Harmonic Oscillations__

__Some remarks for simple harmonic oscillations:__

__# good approximation to many things__

__# easy to manage analytically__

__# x(t) can be any physical quantity__

__# a projection of uniform circular motion__

__15.2 Simple Harmonic Oscillations__

__15.3 Simple Harmonic Motion__

__If the oscillating quantity is the position of an__

__object, the simple harmonic oscillation is a__

__simple harmonic motion (SHM).__

__SHM is the motion executed by a system subject__

__to a force that is proportional to the__

__displacement of the system but opposite in sign.__

__Simple Harmonic Motion -2:__

**Damped Harmonic Motion:**##
__Waves: __

__Waves and the One-Dimensional Wave Equation__

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## 2 comments

good

Soft copy is better than hard copies ;)

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