A spring has a mass of 10 kg, is underdamped with coefficient β = 5 and its frequency is 0.8 Hz. Spring starts 30 cm from equilibrium position and is released with a velocity of −10 cm / s. Set up, in terms of the spring constant k, an equation and conditions for the position of the mass, in meters.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A spring has a mass of 10 kg, is underdamped with coefficient β = 5 and its frequency is 0.8 Hz. Spring starts 30 cm from equilibrium position and is released with a velocity of −10 cm / s.

Set up, in terms of the spring constant k, an equation and conditions for the position of the mass, in meters.

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