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6. A mass weighing 8 pounds is suspended from a spring. The mass stretches the spring
feet. The entire system is immersed in a fluid offering a damping force numerically
equal to 2 times the instantaneous velocity. Beginning at t = 0, an external force equal to
f(t) = 3t is impressed on the system. Find the equation of motion if the mass is initially
released from rest at the equilibrium position.

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