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Discussion

Spectral displacement, pseudo-velocity and pseudo-acceleration for a given period are related such that

  • A.each is obtained from the next by multiplying by the circular frequency
  • B.all three are numerically equal at every period
  • C.they are independent quantities read from unrelated curves
  • D.displacement is the product of the other two

Answer: A

The chain \( S_v = \omega S_d \) and \( S_a = \omega S_v = \omega^2 S_d \) links the three, which is precisely what allows all of them to be plotted on a single tripartite logarithmic sheet. They are not independent readings.

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