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 A 10 kg weight is attached to a spring with constant k = 160 kg/m and subjected to an external forceF(t) = 360 sin(2t). The weight is initially displaced 3 meters above equilibrium and given anupward 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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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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Question

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