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A mass that weight 5lb stretches a spring 3in. The system is acted on by an...

A mass that weight 5lb stretches a spring 3in. The system is acted on by an external force 6sin⁡(8sqrt2 t)lb. If the mass is pulled down 4in and then released, determine the position of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units.

u(t)=

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