The resonant frequency of a micro-cantilever is given by: f0=(1/2pi) * (k/m) ¹1/2 where k is the spring constant of the cantilever and m is its mass. If an analyte of mass "M" places itself on the cantilever how would the resonant frequency of the cantilever change? If the cantilever was scaled down to a nano-cantilever, would it be more sensitive to the target analyte? Why? Please provide analytical expressions to justify your answer.

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MEMS = Micro electromechanical systems

The resonant frequency of a micro-cantilever is given by:
f0=(1/2pi)*(k/m) ¹1/2
where k is the spring constant of the cantilever and m is its mass. If an analyte of mass "M" places itself
on the cantilever how would the resonant frequency of the cantilever change? If the cantilever was
scaled down to a nano-cantilever, would it be more sensitive to the target analyte? Why? Please provide
analytical expressions to justify your answer.
Transcribed Image Text:The resonant frequency of a micro-cantilever is given by: f0=(1/2pi)*(k/m) ¹1/2 where k is the spring constant of the cantilever and m is its mass. If an analyte of mass "M" places itself on the cantilever how would the resonant frequency of the cantilever change? If the cantilever was scaled down to a nano-cantilever, would it be more sensitive to the target analyte? Why? Please provide analytical expressions to justify your answer.
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