2. (35 points) The figure below shows a schematic diagram of a system that is used to isolate a platform from floor vibrations. The mass of the platform is m, the spring constant of the system is k and there is a damping mechanism (called a dashpot) with damping constant b. If the floor is vibrating according to & = Acoswt with respect to its equilibrium position, obtain an expression for the maximum value of the displacement x of the platform from its equilibrium position in terms of A and W . platform X damping mechanism equilibrium position floor & = A cos wt equilibrium position