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Aerospace Engineering Gate 2011 Questions with Answer
Ques 14 GATE 2011
Consider the matrix
where a and b are real numbers. The two eigenvalues of this matrix
λ1 and λ2 are real and distinct (λ1≠λ2) when
Ques 15 GATE 2011
The solution of dydt=y3ett2 with initial condition
y(0)=1 is given by
Ques 16 GATE 2011
The partial differential equation (PDE) governing free vibrations of a uniform Euler–Bernoulli beam is given by: EI ∂4w/∂x4 + m ∂2w/∂t2 = 0, where EI is the flexural stiffness, m is the mass per unit length, w(x, t) is the bending displacement, x is the coordinate along the beam length, t is time, and L is the beam length.
Ques 17 GATE 2011
If an aircraft is performing a positive yawing manoeuvre, the side slip angle
Ques 18 GATE 2011
In an un-powered glide of an aircraft having weight W, lift L and drag D, the equilibrium glide
angle is defined as
Ques 19 GATE 2011
Lift on an aircraft climbing vertically up is
Ques 20 GATE 2011
An aircraft is performing a coordinated turn manoeuvre at a bank angle of 30o and forward speed of
100 m/s. Assume g=9.81 ms-2. The load factor and turn radius respectively are
Ques 21 GATE 2011
An aircraft in a steady level flight at forward speed of 50 m/s suddenly rolls by 180o and becomes
inverted. If no other changes are made to the configuration or controls of the aircraft, the nature of
the subsequent flight path taken by the aircraft and its characteristic parameter(s) (assume g=9.81
ms-2) are
Ques 22 GATE 2011
An aircraft with a mass of 5000 kg takes off from sea level with a forward speed of 50 m/s and
starts to climb with a climb angle of 15o. The rate of climb and excess thrust available at the start of
the climb respectively (assume g=9.81 ms-2) are
Ques 23 GATE 2011
A glider having a mass of 500 kg is taken to an altitude of 1000 m with a jeep moving on ground at
54 kmph. Upon reaching the required altitude in 50 s, the glider is released and starts its descent.
Under the assumption of equilibrium glide, the range and endurance of the glider for a constant lift-
to-drag ratio of 15 are
Ques 24 GATE 2011
For an airplane to be statically stable, its centre of gravity must always be
Ques 25 GATE 2011
An aircraft in level flight encounters a vertical gust, which excites the phugoid mode. The phugoid
motion completes 10 cycles in 50 s and its amplitude reduces to half of its maximum value in 25 s.
The eigenvalues of the phugoid mode are
Ques 26 GATE 2011
Consider a potential flow with free stream velocity Vx over a spinning circular cylinder of radius R
and circulation Γ. The stream function, Ψ, where ψ=0 on the cylinder surface, in cylindrical
coordinates (r, θ) is given by
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