GATE AE exam:gate PYQs & Answers — Page 19

Questions 181–190 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 19 of 65

Consider the matrix

, where k is a constant. If the determinant of A is 3, then the ratio of the largest eigenvalue of A to the constant k is __________ (rounded off to 1 decimal place).

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The state of stress at a point is caused by two separate loading cases. One of them produces a pure uniaxial tension along the

direction, and other one produces a pure uniaxial compression along the

direction, as shown in the figure. The sum of maximum and minimum principal stresses for the resultant state of stress caused by both loads acting simultaneously is __________ N/mm

(rounded off to 1 decimal place).

Diagram for Aerospace Engineering question 52

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In the figure shown below, the magnitude of internal force in member BC is __________ N (rounded off to 1 decimal place).

Diagram for Aerospace Engineering question 53

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The cross section of a thin-walled beam with uniform wall thickness t, shown in the figure, is subjected to a bending moment

Nm. If h = 1 m and t = 0.001 m, the magnitude of maximum normal stress in the cross section is ________N/m

(answer in integer).

Diagram for Aerospace Engineering question 54

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The equations of motion for a two degrees of freedom undamped spring-mass system are:

where m and k represent mass and stiffness respectively, in corresponding SI units, and

and

are the degrees of freedom. The larger of the two natural frequencies is given by:

rad/s. The value of

is ________ (rounded off to 2 decimal places).

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Consider the plane strain field given by

where, A is a constant and

is the engineering shear strain. The value of the constant A for the strain field to be compatible is ____________ (rounded off to 1 decimal place).

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A chemical rocket with an ideally expanded flow through the nozzle produces

thrust at sea level. The specific impulse of the rocket is 200 s and acceleration due to gravity at the sea level is

. The propellant mass flow rate out of the rocket nozzle is ________ kg/s (rounded off to the nearest integer).

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A centrifugal compressor is designed to operate with air. At the leading edge of the tip of the inducer (eye of the impeller), the blade angle is

, and the relative Mach number is 1.0. The stagnation temperature of the incoming air is 300 K. Consider

. Neglect pre-whirl and slip. The inducer tip speed is ________ m/s (rounded off to the nearest integer).

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Consider the following Fanno flow problem: Flow enters a constant area duct at a temperature of 273 K and a Mach number 0.2 and eventually reaches sonic condition (Mach number = 1) due to friction. Assume

. The static temperature at the location where sonic condition is reached is ____________ K (rounded off to 2 decimal places).

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Consider an artificial satellite moving around the Moon in an elliptic orbit. The altitude of the satellite from the Moon’s surface at the perigee is 25 km and that at the apogee is 134 km. Assume the Moon to be spherical with a radius of 1737 km. The trajectory is considered with reference to a coordinate system fixed to the center of mass of the Moon. The ratio of the speed of the satellite at the perigee to that at the apogee is ________ (rounded off to 2 decimal places).

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GATE AE exam:gate PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60