A spring is stretched 10 cm by a force of 3 N. A mass of 2 kg is hung from the spring

Chapter 3, Problem 6

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A spring is stretched 10 cm by a force of 3 N. A mass of 2 kg is hung from the spring and is also attached to a viscous damper that exerts a force of 3 N when the velocity of the mass is 5 m/s. If the mass is pulled down 5 cm below its equilibrium position and given an initial downward velocity of 10 cm/s, determine its position u at any time t. Find the quasi-frequency and the ratio of to the natural frequency of the corresponding undamped motion.

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