A certain factory contains a heavy rotating machine that causes the factory floor to vibrate. We want to operate another piece of equipment nearby, and we measure the amplitude of the floor’s motion at that point to be 0.01 m. The mass of the equipment is 1500 kg and its support has a stiffness of= 20000 N/mand a damping ratio ofζ= 0.04. Calculate the maximum force that will be transmitted to the equipment at resonance.