A machine having a mass of 100 Kg and supported on springs of total stiffness 7.84 x 105 n/m has an unbalanced rotating element which results in a disturbing force of 400 N at a speed of 3000 rpm. Assuming a damping factor ξ = 0.2, calculate :
(i) Transmitted force.
(ii) Amplitude of motion due to unbalance.
(iii) Transmissibility.