Question 2 Three springs, two masses, and two dashpots are attached in a straight line on a horizontal frictionless surface as shown in Figure Q2. The system is set in motion

by holding the mass m₂ at its equilibrium position and pushing the mass m1 to the left of its equilibrium position a distance 2 m and then releasing both masses. Determine: (a) the equations of motion for the two masses; (b) the normal frequencies for the coupled mass-spring system governed by system. k₁ X1 m1 k₂ eee HE m2 when m₁ = m₂ = 1 kg, k₁= k₂= k3= 1 N/m, C₁ = C₂ = 0. X2 k3 eee Figure Q2-Coupled mass-spring system with damping [2 marks] [6 marks]