Consider the system of Figure 3.30. Let M be subjected to

Chapter 3, Problem 3.121

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Consider the system of Figure 3.30. Let M be subjected to a periodic driving force f (t) = A sin(t). The masses are initially at rest in the equilibrium position. M k m 2 k1 y1 y2 FIGURE 3.30 Mass/spring system in 16, Section 3.6. (a) Derive and solve the initial value problem for the displacement functions for the masses. (b) Show that, if m and k2 are chosen so that = k2/m, then the mass m cancels the forced vibrations of M. In this case, we call m a vibration absorber.

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