A rotating machine of mass \(M=100 \mathrm{~kg}\) is supported on four elastic mounts, each having a stiffness of \(k=50,000 \mathrm{~N} / \mathrm{m}\) and damping constant of \(c=500 \mathrm{~N}-\mathrm{s} / \mathrm{m}\). The machine rotates at a speed of \(6000 \mathrm{rpm}\) and has an eccentric mass \(m=0.005 \mathrm{~kg}\) located at a distance of \(e=0.1 \mathrm{~m}\) from the axis of rotation. Determine the amplitude of vibration of the machine.