A mass weighing 16 lb stretches a spring 3 in. The mass is

Chapter 3, Problem 10

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A mass weighing 16 lb stretches a spring 3 in. The mass is attached to a viscous damper with a damping constant of 2 lbs/ft. If the mass is set in motion from its equilibrium position with a downward velocity of 3 in/s, find its position u at any time t. Plot u versus t. Determine when the mass first returns to its equilibrium position. Also find the time such that |u(t)| < 0.01 in for all t > .

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