Two identical masses (m) are attached to rigid stationary walls and each other with springs ko and ke=0.5k, as shown below. Complete the following parts while showing your work and justification for full credit. P mooor ko A 00002 m TA kc 1XB B 000002 FB ko m i) Choose a set of initial conditions that would result in a single frequency of free vibrations for both masses. Express that frequency in terms of m and ko. ii) Choose a set of harmonic forces, F and FB to the masses that would trigger resonance at only a single frequency when forcing frequencies are varied in a range that contains both natural frequencies. Express that frequency in terms of m and ko. iii) Choose a damping matrix in physical coordinates that guarantees diagonalization with modal analyses (you can express the components of the matrix in terms of m and ko). iv) Assuming that a harmonic force is applied to mass B only (F4-0), at which forcing frequency mass A acts as a perfect absorber, i.e., mass B has zero response at steady-state? Express that frequency in terms of m and ko.