Chapt 13 - VIBRATIONS AND WAVES Chapter 13 VIBRATIONS AND...

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1 VIBRATIONS AND WAVES Chapter 13 VIBRATIONS AND WAVES c Waves carry (propagate) energy c Waves on a string c Light waves c Waves are related to oscillations c So we begin by looking first at simple oscillatory motion Simple Harmonic Motion (I) c Specific type of periodic motion c Simple Harmonic Motion (SHM) c Due to Hooke’s law. F s = - kx c x = displacement from equilibrium c k is the spring constant. (Determined by the stiffness of the spring) c The further away the system is from equilibrium, the stronger the force F s = - k x c Resulting motion is described by a sine or cosine curve i.e. harmonic functions c SHM is periodic, but there are periodic motions that are not SHM
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2 Simple Harmonic Motion (II) c x = 0 is equilibrium position c Pull the mass to maximum amplitude x = A c With no friction present, the mass will continue to oscillate between x = ± A c Period of oscillation is T c Frequency of oscillation is f = 1/T c Units are: Hz = cycles/sec Newton’ 2 nd Law and SHM c From Newton’s second law we have: F = - kx = ma c Therefore a = - kx / m c The acceleration is a function of
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This note was uploaded on 01/05/2012 for the course PHYS 1401 taught by Professor Jamesr.boyd during the Spring '09 term at Collins.

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Chapt 13 - VIBRATIONS AND WAVES Chapter 13 VIBRATIONS AND...

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