Knowing that the frequency of vibration of the platform is, Physics

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Knowing that the frequency of vibration of the platform is

The 100-lb platform A is attached to springs B and D, each of which has a constant k = 120 lb/ft. Knowing that the frequency of vibration of the platform is to remain unchanged when an 80-lb block is placed on it and a third spring C is added between springs B and D, determine the required constant of spring C.

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