GATE AE 2020 Paper 1 — page 14

Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.

The three dimensional strain-stress relation for an isotropic material, written in a general matrix form, is

and

are compliances which depend on the elastic properties of the material. Which one of the following is correct?

Your answerChoose one option.

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For three different airplanes A, B and C, the yawing moment coefficient (

) was measured in a wind-tunnel for three settings of sideslip angle

and tabulated as:

Sideslip angle	Airplane A	Airplane B	Airplane C
deg	-0.030	-0.025	0.040
deg	0	0	0
deg	0.030	0.025	-0.040

Which one of the following statements is true regarding directional static stability of the airplanes A, B and C?

Your answerChoose one option.

All three airplanes A, B and C are stable.

Only airplane C is stable, while both A and B are unstable.

Airplane C is unstable, A and B are stable with A being more stable than B.

Airplane C is unstable, A and B are both stable with A less stable than B.

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A closed curve is expressed in parametric form as

and

, where

m and

m. Approximating

, which of the following is the area enclosed by the curve?

Your answerChoose one option.

110 m²

74 m²

35 m²

144 m²

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2020 · Paper 1