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An exhaust fan, of weight 750 N and operating speed 60 kHz, produces a repeating force...

An exhaust fan, of weight 750 N and operating speed 60 kHz, produces a repeating force of 10,000 N on its rigid base. If the maximum force transmitted to the base is to be limited to 2000 N using a damped isolator with damping ratio of 0.1, determine

  1. the maximum permissible stiffness of the isolator that meets the requirement;
  2. the steady-state amplitude of the exhaust fan with the isolator that has the maximum permissible stiffness; and
  3. the maximum amplitude of the exhaust fan with isolation during start-up.
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