(1 point) Consider the double mass/triple spring system shown below. www.www.www.- click to expand. Both springs have spring constants k$, and both masses have mass m; each spring is subject to a damping force of Ffriction = -cx' (friction proportional to velocity). We can write the resulting system of second-order DEs as a first-order system, w' (t) = Aw(t), with w = (x1,x1, x2, x) For values of k = 4, m = 1 and c = 1, the resulting eigenvalues and eigenvectors of A are = 1,2 -0.5±3.24i, ₁ = 23.4 -0.51.93i, v3 –0.028 – 0.194 0.679 0.028 +0.194. -0.679 -0.79-0.306i 0.633 -0.079 0.306i 0.633 and (a) Find a set of initial displacements x1 (0), x2 (0) that will lead to the slow mode of oscillation for this sytem. Assume that the initial velocities wil be zero. (x1(0), x2(0)) = Enter your answer using angle braces, (and). (b) At what frequency will the masses be oscillating in this mode? Frequency= rad/s