Three springs, two masses, and two dashpots are attached in a straight line on a horizontal...

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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 m₁ X1 k₂ eee Ec when m₁ = m₂ = 1 kg, k₁=k₂ = k3= 1 N/m, C₁ = C₂ = 0. x2 m2 k3 eee Figure Q2-Coupled mass-spring system with damping [2 marks] [6 marks] 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 m₁ X1 k₂ eee Ec when m₁ = m₂ = 1 kg, k₁=k₂ = k3= 1 N/m, C₁ = C₂ = 0. x2 m2 k3 eee Figure Q2-Coupled mass-spring system with damping [2 marks] [6 marks]

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This system involves two masses connected by springs with damping present in the system but specified as zero c1 c2 0 With no damping we can ignore an... View the full answer