Use the given free body diagram below: x(t) K₁x K₂(z-x) M C₂(2-*) G₁x If K₁ =1000, K₂ = 1000, M - 1000kg, C₁ =100C2=200, and z(t) = cos2t 1) Find the natural frequency of the system 2) find the particular solution for x(t):