A 5 kg weight is attached to a spring with constant k = 80 N/m and subjected to an external force F(t) = 140 sin(3t). The weight is initially displaced 4 meters above equilibrium and given an upward velocity of 2 m/s. Find its displacement for t > 0. y(t) %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A 5 kg weight is attached to a spring with constant k = 80 N/m and subjected to an external force
F(t) = 140 sin(3t) . The weight is initially displaced 4 meters above equilibrium and given an
upward velocity of 2 m/s. Find its displacement for t > 0.
%3D
y(t) =
Transcribed Image Text:A 5 kg weight is attached to a spring with constant k = 80 N/m and subjected to an external force F(t) = 140 sin(3t) . The weight is initially displaced 4 meters above equilibrium and given an upward velocity of 2 m/s. Find its displacement for t > 0. %3D y(t) =
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