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In the Fourier series solution for a finite wing, the total lift depends on

  • A.Only the second coefficient of the series
  • B.All coefficients equally
  • C.None of the coefficients
  • D.Only the first coefficient of the series

Answer: D

When the sine series is integrated across the span, orthogonality kills every term but the first, so the lift coefficient depends on the first coefficient alone. Induced drag is different: it involves the sum of every coefficient weighted by its index, which is why the higher harmonics add drag while contributing nothing to lift.

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