An electric motor of mass 68 kg is mounted on an isolator block of mass 1200 kg and the natural frequency of the total assembly is 160 cpm with a damping factor of ζ = 0.10 (see Fig. ). If there is an unbalance in the motor that results in a harmonic force of F = 100 sin 31.4t, determine the amplitude of vibration of the block and the force transmitted to the floor.