Figure below shows an impact type forging machine mounted rigidly on a large concrete block with total mass, M = 10,000 kg. The concrete block is placed on ground through isolators of total stiffness k = 1.7MN/m. The hammer with a mass, m = 500 kg falls from a height, h = 2 m on to the work piece as shown in the figure. Assuming that the impact is inelastic and instantaneous, analyse and determine the motion (amplitude) of the machine. Also find its natural frequency.