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 \(2 \mathrm{~cm}\).