A 2 kg weight is attached to a spring with constant k = 8 kg/m and subjected to an external force = F(t) - 50 sin(3t). The weight is initially displaced 1 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. g(t) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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A 2 kg weight is attached to a spring with constant k = 8
kg/m and subjected to an external force
F(t) =
50 sin(3t). The weight is initially displaced 1
meters above equilibrium and given an upward velocity of 5
m/s. Find its displacement for t > 0, with y(t) measured
positive upwards.
(t)
Transcribed Image Text:A 2 kg weight is attached to a spring with constant k = 8 kg/m and subjected to an external force F(t) = 50 sin(3t). The weight is initially displaced 1 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. (t)
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