A vibrating system is supported on four springs. It has a mass of 10 kg. The mass of reciprocating parts 2 kg, which move through a vertical stroke of 100 mm with SHM. Neglecting damping. Find out the combined stiffness of the springs, so that the force transmitted to the foundation is 1/20th of the impressed force. The system crank shaft rotates at 1000 rpm. If under actual working conditions the damping reduces the amplitude of successive vibration by 30%. Find: i. The force transmitted to the foundation at 1000 rpm. ii. The force transmitted to the foundation at resonance and iii. The amplitude of vibration at resonance.