Question: A (200 mathrm{~kg}) testing machine operates at (500 mathrm{rpm}) and produces a harmonic force of magnitude (40,000 mathrm{~N}). An isolation system for the machine consists

A $200 \mathrm{~kg}$ testing machine operates at $500 \mathrm{rpm}$ and produces a harmonic force of magnitude $40,000 \mathrm{~N}$. An isolation system for the machine consists of a damped isolator and a concrete block for mounting the machine. Design the isolation system such that all of the following are met.

(i) The maximum transmitted force during start-up is $100,000 \mathrm{~N}$.

(ii) The maximum transmitted force in the steady-state is $5000 \mathrm{~N}$.

(iii) The maximum steady-state amplitude of the machine is $2 \mathrm{~cm}$.

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