A 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external force F(t) = 360 sin(2t). The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) = 3 cos (4t) sin(4t) + 3 sin(2t) X
A 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external force F(t) = 360 sin(2t). The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) = 3 cos (4t) sin(4t) + 3 sin(2t) X
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 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external force F(t)=360sin(2t)F(t)=360sin(2t) . The weight is initially displaced 3 meters above equilibrium and given an upward velocity of 3 m/s. Find its displacement for t > 0, with y(t)y(t) measured positive upwards.
y(t)y(t) = 3cos(4t)−sin(4t)+3sin(2t)Incorrect
Transcribed Image Text:A 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external force
F(t) = 360 sin(2t). The weight is initially displaced 3 meters above equilibrium and given an
upward velocity of 3 m/s. Find its displacement for t > 0, with y(t) measured positive upwards.
y(t) = 3 cos (4t) - sin(4t) + 3 sin(2t)
X
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