The 30-lb block is attached to two springs having a stiffness of 10 lb/ft. A periodic force F = (8 cos 3t) lb, where t is in seconds, is applied to the block. Determine the maximum speed of the block after frictional forces cause the free vibrations to dampen out.

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k = 10 lb/ft -www- k = 10 lb/ft 2000 F = 8 cos 3t