This preview shows page 1. Sign up to view the full content.
Unformatted text preview: It can be tempting to identify the sin( t ) part as giving a clue to the phase, but it just arises because the power is F v and v has one time derivative (changing a cos to a sin ). A better way to remember which term is which is to use cos (inphase) and sin (outofphase) to tag the two pieces. After the time differentiation to get x = v we see that only the outofphase piece can absorb power, onaverage, because only this term has a nonvanishing average over a complete cycle. 2. Quality of a Resonance We can recast many of the results weve derived in terms of: Q = / m = p 11 / 2 Q 2 Resonant Frequency A ( m ) = a Q 1 p 11 / 4 Q 2 Maximium Amplitude V ( ) = a Q Maximum Velocity < P ( ) > = 1 2 ma 2 3 Q Maximum Power Transfer...
View
Full
Document
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, Power, Statistical Mechanics

Click to edit the document details