question archive The seismic instrument shown in the picture below is firmly fixed to a structure, which vibrates vertically (as indicated by an arrow) with a frequency 6Hz and a double amplitude (also known as peak-to-peak value) of 15mm

The seismic instrument shown in the picture below is firmly fixed to a structure, which vibrates vertically (as indicated by an arrow) with a frequency 6Hz and a double amplitude (also known as peak-to-peak value) of 15mm

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The seismic instrument shown in the picture below is firmly fixed to a structure, which vibrates vertically (as indicated by an arrow) with a frequency 6Hz and a double amplitude (also known as peak-to-peak value) of 15mm. The sensing element has a mass m = 2kg. The viscous damping coefficient is c = 35 N s/m. The motion of the mass relatively to the instrument base is recorded on a revolving drum and shows a double amplitude (i.e. the peak-to-peak value) of 20mm during the steady-state condition. Calculate the stiffness of the spring k.

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