Elasticity - General Aptitude - General Aptitude (GA) Previous Year Questions

1

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

A cantilever with thin-walled channel cross section is subjected to a lateral force at its shear center.
The cantilever undergoes

A

bending without twisting

B

bending and twisting

C

neither bending nor twisting

D

twisting without bending

Open complete paper

2

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

Which one of the following aero engines has the highest propulsive efficiency?

A

Turbojet engine without afterburner

B

Turbojet engine with afterburner

C

Turbofan engine

D

Ramjet engine

Open complete paper

3

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

An ideal gas in a reservoir has a specific stagnation enthalpy of \( h_0 \). The gas is isentropically expanded to a new specific stagnation enthalpy of \( \frac{h_0}{2} \) and velocity \( u \). The flow is one-dimensional and steady. Then \( \frac{u^2}{h_0} = \) ______.

Check answer

Open complete paper

4

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

A cube made of a linear elastic isotropic material is subjected to a uniform hydrostatic pressure of \( 100 \; N/mm^2 \). Under this load, the volume of the cube shrinks by \( 0.05\% \). The Young's modulus of the material, \( E = 300 \; GPa \). The Poisson's ratio of the material is ______.

Check answer

Open complete paper

5

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

A massless cantilever beam PQ has a solid square cross section (\( 10 \; mm \times 10 \; mm \)). This beam is subjected to a load \( W \) through a rigid massless link at the point Q, as shown below (figure not to scale). If the Young's modulus of the material \( E = 200 \; GPa \), the deflection (in mm) at point Q is ______.

Check answer

Open complete paper

6

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

An aircraft, with a wing loading \( \frac{W}{S} = 500 \; N/m^2 \), is gliding at \( \left( \frac{L}{D} \right)_{max} = 10 \) and \( C_L = 0.69 \). Considering the free stream density \( \rho_{\infty} = 0.9 \; kg/m^3 \), the equilibrium glide speed (in \( m/s \)) is ______.

Check answer

Open complete paper

7

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

A satellite is to be transferred from its geostationary orbit to a circular polar orbit of the same radius through a single impulse out-of-plane maneuver. The magnitude of the change in velocity required is ______ times the magnitude of the escape velocity.

Check answer

Open complete paper

8

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

A planetary probe is launched at a speed of \( 200 \; km/s \) and at a distance of \( 71,400 \; km \) from the mass center of its nearest planet of mass \( 1.9 \times 10^{28} \; kg \). The universal gravitational constant, \( G = 6.67 \times 10^{-11} \; \frac{m^3}{kg \cdot s^2} \). The ensuing path of the probe would be

A

elliptic

B

hyperbolic

C

parabolic

D

circular

Open complete paper

9

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

The velocity profile of an incompressible laminar boundary layer over a flat plate developing under constant pressure is given by \( \frac{u(y)}{U_{\infty}} = \frac{3y}{2\delta} - \frac{1}{2} \left( \frac{y}{\delta} \right)^3 \). The freestream velocity \( U_{\infty} = 10 \; m/s \) and the dynamic viscosity of the fluid \( \mu = 1.8 \times 10^{-5} \; \frac{kg}{m \cdot s} \). At a streamwise station where the boundary layer thickness \( \delta = 5 \; mm \), the wall shear stress is ______ \( \times 10^{-3} \; Pa \).

Check answer

Open complete paper

10

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

The Pitot tube of an aircraft registers a pressure \( p_0 = 54051 \; N/m^2 \). The static pressure, density and the ratio of specific heats of the freestream are \( p_{\infty} = 45565 \; N/m^2 \), \( \rho_{\infty} = 0.6417 \; kg/m^3 \) and \( \gamma = 1.4 \), respectively. The indicated airspeed (in \( m/s \)) is

A

157.6

B

162.6

C

172.0

D

182.3

Open complete paper

11

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

Consider a NACA 0012 airfoil of chord \( c \) in a freestream with velocity \( V_{\infty} \) at a non-zero positive angle of attack \( \alpha \). The average time-of-flight for a particle to move from the leading edge to the trailing edge on the suction and pressure sides are \( t_1 \) and \( t_2 \), respectively. Thin airfoil theory yields the velocity perturbation to the freestream as \( V_{\infty} \frac{(1+\cos \theta)\alpha}{\sin \theta} \) on the suction side and as \( -V_{\infty} \frac{(1+\cos \theta)\alpha}{\sin \theta} \) on the pressure side, where \( \theta \) corresponds to the chordwise position, \( x = \frac{c}{2} (1-\cos \theta) \). Then \( t_2 - t_1 \) is

A

\(-\frac{8\pi \alpha c}{V_{\infty}(4-\pi^2\alpha^2)} \)

B

0

C

\(\frac{4\pi \alpha c}{V_{\infty}(4-\pi^2\alpha^2)} \)

D

\(\frac{8\pi \alpha c}{V_{\infty}(4-\pi^2\alpha^2)} \)

Open complete paper

12

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

The following data is for a single degree of freedom system with viscous damping:
mass, \(m = 10 \ kg\), spring stiffness, \(k = 2.25 \ N/mm\);
damping coefficient, \(c = 0.0125 \ N s/mm\).
The ratio of any two successive amplitudes is ______.

Check answer

Open complete paper

13

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

For a level flight at cruise altitude, \(C_D = 0.018\) with drag coefficient at zero lift, \(C_{D,0} = 0.015\). For a 30° climb at the same altitude and speed, \(C_D = \) ______ × 10⁻³.

Check answer

Open complete paper

14

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

The elliptical area swept by a satellite is \(5.6 × 10^9 \ km^2\) in one full orbit. Its angular speed is observed to be 0.00125 rad/s when it is at a distance of 7,200 km from the center of mass of its primary. Its orbital period (in Earth days) is ______.

Check answer

Open complete paper

15

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

A centrifugal air compressor is operating at the following conditions:
Inlet stagnation temperature = 288 K
Inlet stagnation pressure = 1.15 bar
Exit stagnation temperature = 454 K
Exit stagnation pressure = 4.8 bar
The energy loss due to non-isentropic compression per unit mass of flowing air (ratio of specific heats, γ = 1.4 and specific heat at constant pressure, C_p = 1.005 kJ/kgK) is ______ kJ/kg.

Check answer

Open complete paper

16

2015 · General Aptitude (GA) · General Aptitude · Elasticity

Aerospace Engineering (AE) 2015

Hot gas (ratio of specific heats, γ = 1.33) at a temperature of 1450 K enters into an axial turbine and expands isentropically. Assume that the kinetic energy of the gas across the turbine is negligible. If the ratio of inlet to outlet pressures of the turbine is 9.5, then the temperature (in K) of gas exiting the turbine is ______.

Check answer

Open complete paper