Response to the following problem:
A static horizontal load of 80 N, applied to the lamp housing of the street lamp in Figure, caused a horizontal deflection of 5 cm. Assume that the motion of an earthquake can be modeled as a step change in position. Thus the initial condition is x(0) = 18 cm, ?(0) = 0. Determine the response of the lamp housing. Consider the lamp-pole system to be massless and the mass of the housing to be 25 kg.