An 8 lb weight is attached to one end of the spring whose spring constant (K=2) is 2 lb/ft. The medium offers a resistance to the motion numerically equal to the instantaneous velocity . If the weight is released from a point 1 ft above equilibrium position with downwards velocity of 8 ft/sec. Determine the equation of motion and the time when it crosses equilibrium position.

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An 8 lb weight is attached to one end of the spring whose spring constant
(K=2) is 2 lb/ft. The medium offers a resistance to the motion numerically
equal to the instantaneous velocity . If the weight is released from a point 1 ft
above equilibrium position with downwards velocity of 8 ft/sec. Determine the
equation of motion and the time when it crosses equilibrium position.

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