Suppose that m₁ = 2, m₂ = 1/2, k₁ = 75, k₂ = 25, F₀ = 100, and  ω = 10 (all in mks units) in the forced mass-and- spring system of Fig. 7.5.9. Find the solution of the system Mx" = Kx + F that satisfies the initial conditions x(0) = x'(0) = 0.

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k₁ k₂ www.m wwwwwwwwwwww.m₂ m₁ X2 F(t) FIGURE 7.5.9. The forced mass-and-spring system of Example 3.