A police siren of frequency f siren is attached to a vibrating platform. The platform and siren oscillate up and down in simple harmonic motion with amplitude A p and frequency f p .
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The maximum velocity of the siren is 
. You hear a sound with frequency 
, where vs varies between 
and 
.
So 
and 
.
The maximum (minimum) frequency is heard when the platform is passing through equilibrium and moving up (down).
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