申論題

1. Consider the two-mass system in Figure I, where k₁ and k₂ are spring constants; x₁ and x₂ are displacements of m₁ and m₂, assuming that both springs have their natural lengths when x₁ = x₂ = 0. The surface is frictionless and f is an external force applied to m_1.

(d)  Let f(t) =sin(ω₀t) and ·. Find ω₀, x₂(0), and such that x₁(t) = 0 for all t≥0.