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If you increase the driving frequency of a mass spring system, what will happen to its...

If you increase the driving frequency of a mass spring system, what will happen to its stiffness reactance? Will it increase, decrease, or remain unchanged (and why)?

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Answer #1

Driving frequency of a mass spring system: The driving frequency is the frequency of an oscillating force applied to the system from an external source.

Stiffness reactance of a mass spring system: It can be defined as the opposition to energy flow due to stiffness / elasticity.

  • More stiffness implies more impedance at lower frequencies (greater vibration at higher frequencies)
  • Lesser stiffness implies less impedance at higher frequencies (greater vibration at lower frequencies)

Relationship between driving frequency and stiffness reactance of a mass spring system:

  • Stiffness reactance is inversely dependent on frequency.

   If you increase the driving frequency of a mass spring system, the stiffness reactance decreases.

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