Answer to Question #201213 in Calculus for Rajesh

Question #201213

A 20 kg weight is attached to the lower end of a coil spring suspended from the ceiling, the spring constant of the spring being 8 N/m. The weight comes to rest in its equilibrium position. Beginning at t=0 an external force given by F(t) 20tan(2t) is applied to the system. Find the displacement in terms of t. Provided that the acceleration due to gravity g=10m/sec2 and has a negligible damping force in the system.

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