A \(110 \mathrm{~kg}\) pump is mounted on an isolator of stiffness \(4 \times 10^{5} \mathrm{~N} / \mathrm{m}\) and a damping ratio of 0.15 . The pump is given a sudden velocity of \(30 \mathrm{~m} / \mathrm{s}\). What is the maximum force transmitted through the isolator and what is the maximum displacement of the pump?