Solved: Two springs, two masses, and a dashpot are
Chapter 5, Problem 5E(choose chapter or problem)
Two springs, two masses, and a dashpot are attached in a straight line on a horizontal frictionless surface as shown in Figure 5.34. 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 the equations of motion for the two masses if m1=m2=1 kg, k1=k2=1 N/m, and b=1 N-sec/m. [Hint: The dashpot damps both m1 and m2 with a force whose magnitude equals b |y’ – x’| . ] Figure 5.34 Coupled mass–spring system with damping between the masses
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