The base of a spring-mass system, with Coulomb damping, is connected to the slider-crank mechanism shown in Fig. 4.40. Determine the response of the system for a coefficient of friction \(\mu\) between the mass and the surface by approximating the motion \(y(t)\) as a series of harmonic functions for \(m=1 \mathrm{~kg}, k=100 \mathrm{~N} / \mathrm{m}, r=10 \mathrm{~cm}, l=1 \mathrm{~m}, \mu=0.1\), and \(\omega=100 \mathrm{rad} / \mathrm{s}\). Discuss the limitations of your solution.

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0 wt y(t) k 00000 m FIGURE 4.40 Base motion through slider crank mechanism.