Fig. Q4 shows a spring-mass system in which m and m are the masses and k & k are the stiffnesses of the springs. Determine the equations of motion using Newton's laws of motion. Verify your result by the Lagrange method. If m = m, m = 4m, k= k and k = 2k, show that the frequency equation can be expressed as k k @ -1.75 +0.5 = 0, where w is the natural frequency of vibration. m - m Also determine the natural frequencies in terms of k and m. mi k ]mn[ m2 Fig. Q4 k mr