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Unformatted text preview: A ( m ) = A p ( 2 / 2) 2 + ( 2 2 / 2) 2 = A p 2 2 4 / 4 = A 1 q 1 2 4 2 2. Phase Lag Up to now weve focused on the amplitude of the driven oscillations: A ( ) There is also physics in the phase lag: X ( t ) = A ( ) cos( t ); tan = ( 2 2 ) The phase is a smooth connection between two regimes [see plots shown in class]: (a) At low driving frequencies The mass and platform move in unison (rigid regime): X ( t ) = A cos( t ) for In this regime A ( ) A 2 2 = A The response of the system is determined by the stiffness of the spring (b) At high frequency ( ) A ( m ) = A p ( 2 / 2) 2 + ( 2 2 / 2) 2 A 2 2 And the phase (for : tan = ( 2 2 )...
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This note was uploaded on 07/10/2011 for the course PHY 293 taught by Professor Pierresavaria during the Fall '07 term at University of Toronto Toronto.
 Fall '07
 PierreSavaria
 mechanics, Force, Statistical Mechanics

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