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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) = 24 sin(4t). The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 1 m/s. Find its displacement for t > 0, with y(t) measured positive upwards.

A 2 kg weight is attached to a spring with constant k = 8 kg/m and subjected to an external force F(t) = 24 sin(4t). The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 1 m/s. Find its displacement for t > 0, with y(t) measured positive upwards.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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): 24 sin(4t). The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 1 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(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): 24 sin(4t). The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 1 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) = -
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