A machine of mass 100 kg is mounted on isolators having stiffness of 1.2 × 106 N/m and a damping factor of 0.1. A piston of mass 2 kg within the machine has a reciprocating motion with a stroke of 8 cm and a speed of 1800 cycles/mm. Assuming the motion of piston to be simple harmonic, determine
(i) the amplitude of motion of the machine,
(ii) force transmitted of the foundation,
(iii) the phase angles of the transmitted force and machine motion with respect to the exciting force.