In the system of Fig. 7.5.12, assume that m₁ = 1, k₁ = 50, k₂ = 10, and F₀ = 5 in mks units, and that ω = 10. Then find m₂ so that in the resulting steady periodic oscillations, the mass m₁ will remain at rest(!). Thus the effect of the second mass-and-spring pair will be to neutralize the effect of the force on the first mass. This is an example of a dynamic damper. It has an electrical analogy that some cable companies use to prevent your reception of certain cable channels.

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k₁ F(t) = Focos cot k₂ wwwwww www.m m₁ m₂ X1 x2 FIGURE 7.5.12. The mechanical system of Problem 14.