problem15_44

University Physics with Modern Physics with Mastering Physics (11th Edition)

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15.44: a) (i) 2 λ = x is a node, and there is no motion. (ii) 4 λ = x is an antinode, and , cos ) iii ( . 4 ) 2 ( , 2 ) 2 ( 2 1 4 2 2 max max max = = = = = π A f π v πf a πfA πf A v and this factor multiplies the results of (ii), so A f π a fA π v 2 2 max max 2 2 , 2 = = . b) The amplitude is . 2 (iii) , (ii) , 0 ) i ( or , sin A A kx A c) The time between the extremes of the motion is the
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