The signpost of a fast food restaurant consists of a hollow steel cylinder of height h, inside diameter d, and outside diameter D, fixed to the ground and carries a concentrated mass M at the top. It can be modeled as a single-degree-of-freedom spring-mass-damper system with an equivalent viscous-damping ratio of 0.1 for analyzing its transverse vibration characteristics under wind excitation. Determine the following:
(a) the natural frequency of transverse vibration of the signpost;
(b) the wind velocity at which the signpost undergoes maximum steady-state displacement; and
(c) the maximum wind-induced steady-state displacement of the signpost. Data:
