A support in the form of a spring is installed under a precision machine of mass m = 2500 kg on a factory floor because the floor is moving due to the motion of other machinery nearby. The support has...

A support in the form of a spring is installed under a precision machine of mass m = 2500 kg on a factory floor because the floor is moving due to the motion of other machinery nearby. The support has stiffness k = 40,000 N/m. The floor moves harmonically with amplitude 0.1 cm and frequency Ω. Calculate the force transmitted to the equipment when a) Ω = ωn, b) Ω = 2ωn, c) Ω = ωn/2.