Question

Section 11: Calculations (80%) 1. (30%) In order to get accurate measurement from a delicate instrument, it is often mounted on springs to isolate it from the vibration of the support (i.e. table) on which it is placed. Assume the table vibrates with an amplitude of 5 mm at 60 Hz, the mass of the instrument is 1.5 kg. The total equivalent spring constant is 40 kN/m, the equivalent damping constant is 10 Ns/m, and the system behaves as a single degree of freedom system. (a) Determine the maximum displacement of the instrument (b) If the instrumènt is expected to tolerate a maximum amplitude of 0.5 mm, will it be helpful to change the dampers to achieve this goal? (assuming to keep the same spring), what is the value of the damping constant? (c) If the instrument is expected to tolerate a maximum amplitude of 0.5 mm, will it be helpful to change to different springs to achieve this goal? (to make the calculation easier, you can assume c 0). What is the value of the spring constant? Instrument table

Answer 1

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