A 3 kg weight is attached to a spring with constant k = 27 kg/m and subjected to an external force F(t) = – 21 sin(4t) . The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) %3D

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A 3 kg weight is attached to a spring with constant k = 27 kg/m and
subjected to an external force F(t) = – 21 sin(4t) . The weight
is initially displaced 2 meters above equilibrium and given an
upward velocity of 5 m/s. Find its displacement for t > 0, with y(t)
measured positive upwards.
y(t)
%3D
Transcribed Image Text:A 3 kg weight is attached to a spring with constant k = 27 kg/m and subjected to an external force F(t) = – 21 sin(4t) . The weight is initially displaced 2 meters above equilibrium and given an upward velocity of 5 m/s. Find its displacement for t > 0, with y(t) measured positive upwards. y(t) %3D
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