An electric motor of mass \(300 \mathrm{~kg}\) and running at \(1800 \mathrm{rpm}\) is supported on four steel helical springs, each having eight active coils with a wire diameter of \(6 \mathrm{~mm}\) and a coil diameter of \(25 \mathrm{~mm}\). The rotor has a mass of \(45 \mathrm{~kg}\) with its center of mass located at a distance of \(0.25 \mathrm{~mm}\) from the axis of rotation. Find the amplitude of vibration of the motor and the force transmitted through the springs to the base.