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A spring with 2 kg mass has damping constant 14 and a force of 6 Newton...

A spring with 2 kg mass has damping constant 14 and a force of 6 Newton is required to keep the spring stretched 0.5 meter beyond its natural length. The spring is stretched 1 meter beyond its natural length and then is released with zero initial velocity. If an external force of F(t)= 2sin2t is applied to the system, find the position of the mass at any time t.

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