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A spring mass system with a natural frequency fn = 12 Hz is attached to a...

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Physics

A spring mass system with a natural frequency fn = 12 Hz isattached to a vibration table. The table is set to vibrate at 16Hz, 0.5 g maximum acceleration:

a. What is the amplitude of the table's motion in inches?

b. What is the magnification factor M of this undampedsystem?

c. What is the maximum displacement of the mass assuming nodampening?

d. What is the maximum acceleration of the mass assuming thepackaging can be modeled as a viscous damper with a damping ratioof 0.2?

e. Is the motion of the mass in phase or out of phase with themotion of the table?

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