A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.8 m beyond its natural length and then released. If an external force of F(t) = 20eN is applied to the spring, find the position of the mass at any time t. x(t) =

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A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.8 m beyond its natural length and then released.
If an external force of F (t) = 20e-t N is applied to the spring, find the position of the mass at any time t.
x(t) =
Transcribed Image Text:A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.8 m beyond its natural length and then released. If an external force of F (t) = 20e-t N is applied to the spring, find the position of the mass at any time t. x(t) =
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