Aerospace Engineering Gate 2019 Questions with Answer

Ques 40 GATE 2019

As shown in the figure, a rigid slab CD of weight W (distributed uniformly along its length) is hung from a ceiling using three cables of identical length and cross-sectional area. The central cable is made of steel (Young's modulus = 3E) and the other two cables are made of aluminum (Young's modulus = E). The percentage of the total weight taken by the central cable is _______ % (round off to the nearest integer).

Ques 41 GATE 2019

All the bars in the given truss are elastic with Young's modulus 200 GPa, and have identical cross-sections with moment of inertia 0.1 cm^4. The lowest value of the load P at which the truss fails due to buckling is _______ kN (round off to the nearest integer).

Ques 42 GATE 2019

A solid circular shaft is designed to transmit a torque T with a factor of safety of 2. It is proposed to replace the solid shaft by a hollow shaft of the same material and identical outer radius. If the inner radius is half the outer radius, the factor of safety for the hollow shaft is _______ (round off to 1 decimal place).

Ques 43 GATE 2019

In the structure shown in the figure, bars AB and BC are made of identical material and have circular cross-sections of 10 mm radii. The yield stress of the material under uniaxial tension is 280 MPa. Using the von Mises yield criterion, the maximum load along the z-direction (perpendicular to the plane of paper) that can be applied at C, such that AB does not yield is _______ N (round off to the nearest integer).

Ques 44 GATE 2019

The product of earth's mass (M) and the universal gravitational constant (G) is GM = 3.986 x 10¹⁴ m³/s². The radius of earth is 6371 km. The minimum increment in the velocity to be imparted to a spacecraft flying in a circular orbit around the earth at an altitude of 4000 km to make it exit earth's gravitational field is _______ km/s (round off to 2 decimal places).

Ques 45 GATE 2019

The product of earth's mass (M) and the universal gravitational constant (G) is GM = 3.986 x 10^14 m^3/s^2. The radius of earth is 6371 km. The minimum increment in the velocity to be imparted to a spacecraft flying in a circular orbit around the earth at an altitude of 4000 km to make it exit earth's gravitational field is _______ km/s (round off to 2 decimal places).

Ques 46 GATE 2019

For the complete combustion of 1 mole of ethanol (C₂H₅OH), the required number of moles of oxygen is _______.

Ques 47 GATE 2019

For a damped spring-mass system, mass m = 10 kg, stiffness k = 10^3 N/m, and damping coefficient c = 20 kg/s. The ratio of the amplitude of oscillation of the first cycle to that of the fifth cycle is _______ (round off to 1 decimal place).

Ques 48 GATE 2019

For the system of springs and masses shown below, k = 1250 N/m and m = 10 kg. The highest natural frequency, ω, of the system is _______ radians/s (round off to the nearest integer).