A spring with a spring constant 4 N/m is loaded with a 2 kgmass and allowed...

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A spring with a spring constant 4 N/m is loaded with a 2 kgmassand allowed to reach equilibrium. It is then displaced 1 meterdownward and released. Suppose the mass experiences a damping forcein Newtons equal to 1 times the velocity at every point and anexternal force of F(t)=4sin(3t) driving the system. Set up adifferential equation that describes this system and find aparticular solution to this non-homogeneous differentialequation:

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spring constant mass damping force in Newtons equal to 1 times the    See Answer
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