An engineer decides to damp the oscillations by applying one shock absorber to each spring. These...

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An engineer decides to damp the oscillations by applying one shock absorber to each spring. These shock absorbers apply a velocity-dependent drag force F = -bu that opposes the motion of the bench. For proper damping, the engineer decides that the motion of the bench should drop to one-half of its initial amplitude within 0.367 s. When purchasing shock absorbers, what damping coefficient b should the engineer specify to the industrial equipment supplier? Assume that the oscillations are underdamped. An engineer decides to damp the oscillations by applying one shock absorber to each spring. These shock absorbers apply a velocity-dependent drag force F = -bu that opposes the motion of the bench. For proper damping, the engineer decides that the motion of the bench should drop to one-half of its initial amplitude within 0.367 s. When purchasing shock absorbers, what damping coefficient b should the engineer specify to the industrial equipment supplier? Assume that the oscillations are underdamped.