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Question: What is the minimum quantity of mass that can be detected by deposition at the free end of a micro cantilever if the detection equipment has a resolution of 50 Hz? For that minimum mass, plot the original and shifted transmissibilities in terms of the frequency ratio when a sinusoidal displacement is applied to the cantilever base. Known are the dimensions of the cantilever, l = 50 nm, w = 30 nm, h = 2 nm, also the material properties, E = 160 GPa, t = 6200 kg/m₃, and the viscous damping coefficient is c = 5 # 10-10 N-s/m.

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