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###### Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 =...

Problem 2 (25 points): Consider an undamped single-degree-of-freedom system with k = 10 N/m, 41 = 10 N 92 = 8N, and m = 10 kg subjected to the harmonic force f(t) = qı sin(vt) + 92 cos(vt), v = 1 rad/ sec. Assume zero initial conditions (0) = 0 and c(0) = 0. Derive and plot the analytical solution of the displacement of the system. mm m = f(t) WWWWWWWW No friction Problem 2 Problem 3 (30 points): Using Duhamel's intergral, determine the response of the system in Problem 2 subjected to force: f(t) = s 91 for 0 <t<ti 92 for ti <t where qı = 10 N, 92 = 15 N, t1 = 10 sec.

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