Lecture-19-03-25-08

Lecture-19-03-25-08 - Lecture-19 Oscillations Simple...

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1 Lecture-19 Oscillations Simple harmonic motion: mass(m) attached to spring(k) Expect solutions of form Inserting in equation of motion, Key Physics : Demonstration kx dt x d m = 2 2 ) cos( φ ω+ = t A x m k t A m k = = + ω 0 ) cos( ) ( 2 Simple harmonic motion results if displacement away from equilibrium and its Acceleration is countered by Restoring Force that grows larger with displacement.
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2 Waves: Traveling Mechanical Oscillations Basic Types: There are Transverse and Longitudinal waves. Traveling Waves Wave traveling to right Wave traveling to left In general, Transverse: Longitudinal: t >0 t = 0 = ) ( 2 sin ) , ( max t x D t x D υ λ π + = ) ( 2 sin sin ) , ( max t x D t x D )] ( sin[ ) , ( max t x k D t x D ± = 2 k where wavenumber k is: ) 2 sin( ) ( x D x D M =
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3 Waves on a String Observations: a) Wave pulse travels at speed dependent on rope’s mass density and tension;
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This homework help was uploaded on 03/30/2008 for the course PHYSIC 2 taught by Professor Kim during the Spring '08 term at Lehigh University .

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Lecture-19-03-25-08 - Lecture-19 Oscillations Simple...

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