Lecture26 - Oscillations Many phenomena in nature undergoes...

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Oscillations Many phenomena in nature undergoes vibrations and have periodic behavior: • Heart beat • Vocal cords when singing/speaking • String of musical instrument • Spring, pendulum • Tree under wind • Electric current in radio and TV • …… What do they all have in common? Oscillate around equilibrium position! In an ideal word oscillations go on forever. In reality they are DAMPED (because of friction, drag force, etc….)
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Simple Harmonic Motion (SHM) is a linear motion such that : 1 . its acceleration is directly proportional to its displacement from a fixed point (the equilibrium position) a ~ -x 2 . its acceleration always points towards the fixed point. a displacement x eq displacement x eq a a displacement x eq Simple Harmonic motion
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General consideration on Simple Harmonic motion • Occurs around equilibrium position x eq x max Max elongation x eq x max max compression These type of oscillatory motions are described: x(t) = A cos ( ω t + ϕ ) • Characteristic time needed to complete 1 cycle: PERIOD (T) • Reaches a maximum displacement AMPLITUDE (A)
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This note was uploaded on 10/28/2009 for the course PHYSICS 7A/7B taught by Professor All during the Fall '08 term at Berkeley.

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Lecture26 - Oscillations Many phenomena in nature undergoes...

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