Question: Problem 2 4 A structure under base excitation is idealized as a SDOF system with a linear spring and damper. At t = 0 ,

Problem 24
A structure under base excitation is idealized as a SDOF system with a linear spring and damper. At t=0, a base excitation in terms of the base DISPLACEMENT ug(t) is imposed as shown in the figure below.
a. Determine the equations of motion for the structure in absolute coordinate u(t).
b. Determine the equation of motion for the structure in terms of the relative coordinate w(t)=u(t)-ug(t).
c. Determine the time history of the relative displacement w(t) for this SDOF system for t>0.
Problem 2 4 A structure under base excitation is

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