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GATE 2019 AE – Question 54

Flight Mechanics & Space Dynamics · Static stability: stability and control derivatives, longitudinal, directional and lateral stability, hinge moments and stick forces · 2 marks · Numerical answer

If horizontal-tail area is increased by 20% and its moment arm is reduced by 20%, find the ratio of the new tail contribution to longitudinal static stability to its original value (two decimal places).

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Correct answer: 0.96 to 0.96

Explanation

With other aerodynamic factors fixed, the tail contribution scales with tail volume, proportional to tail area times its moment arm. Its ratio is 1.20×0.80=0.96. The percentage changes multiply rather than cancel by simple addition.

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