Using the eigenvalue method for second order systems, nd the general solution for the positions of the

masses.

Consider the mass/spring system from Section 8.4 with three masses given by m_1 = m_2 = m_3 = 1 and four springs with spring constants k_1 = 2 k_2 = k_3 = 1 k_4 = 2. (a) Using the eigenvalue method for second order systems, find the general solution for the positions of the masses. (b) Identity the natural frequencies. (c) For each natural frequency describe the mode of oscillation