(Force Transmissibility)A compressor as shown in the figure below has a mass m of 934 kg, and operates at 1800rpm. At the operating speed, undesirable vibration occurs when the compressor

is attached directly to the floor of a small building in a manufacturing plant. To reduce this problem, it is proposed to isolate the compressor by mounting it on a square concrete block as shown. The density of the concrete in the block has been measured to be 2402 kg/m³, and the stiffness of the block and soil has been experimentally determined to be 81.44 x 106 N/m. The geometry of the block leads to choosing a block of 2 by 2 m. You are asked to determine the depth h of the block that will yield a 75 percent reduction in the force transmitted by the compressor-block system to the supporting soil. You may neglect the damping of the block in your calculations and use the model in Fig. (b) below.