It took me a while to dig up the solution to this one. It's a fairly realistic SDOF dynamic model of a suspension system subjected to a half-sine pulse of duration T. Since I don't know how to get math into this little forum box, the problem is attached as a pdf. All those who believe they are mathematically-inclined, I challenge you to solve and verify the solution by hand.
H. Bruce Jackson
ElectroMechanical Product Development