GATE XE branch:xe PYQs & Answers — Page 9

Questions 81–90 of 1772. Imported answers require independent review unless marked reviewed.

The point Q of a thin rigid equilateral triangular plate PQR is constrained to move in a horizontal channel. Point P of the same plate is constrained to move in the vertical channel as shown in the figure. The length of the side PQ is 4 m.

At the instant when the angle

rad and the velocity of point Q in the positive x direction is 20 m/s, which one of the following options is the magnitude of the angular velocity vector of the line SR on the plate in rad/s?

Diagram for Engineering Sciences question 81

Your answerChoose one option.

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A motorized pulley of diameter 200 mm is used to transfer a block of mass 100 kg from platform 1 to platform 2 using a ramp kept at an inclination of 30° as shown in the figure. The coefficient of static friction between the block and the ramp is 0.2. The acceleration due to gravity is 10 m/s

Assume the rope to be parallel to the ramp surface.

The minimum torque required by the motor to transport the block uphill is ____ Nm (rounded off to two decimal places).

Diagram for Engineering Sciences question 82

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The bending moment diagram for a simply supported beam is piecewise linear as shown in the figure. The bending moment

m is 5 Nm. The beam has a rectangular cross-section with an area of 1 m

The absolute value of the maximum shear stress on the cross-section at

m is _____ N/m

(in integer).

Diagram for Engineering Sciences question 83

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A thin walled cylindrical container of diameter 2 m and wall thickness of 2.5 cm is made of steel whose Young’s modulus is 200 GPa and yield stress is 450 MPa.

Using von Mises criteria, the maximum possible pressure is _____MPa (rounded off to the nearest integer).

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A solid axial bar made of steel with Young’s modulus, 200 GPa and Poisson’s ratio, 0.3, is subjected to uniaxial stress of 50 MPa.

The absolute value of the maximum shear strain on the outer surface of the bar is _____ × 10⁻⁴ (rounded off to two decimal places).

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EFGH (solid lines) is the initial configuration and E′F′G′H′ (dashed lines) is the deformed configuration of an object as shown in the figure. E′ coincides with E and F′ coincides with F.

The average normal strain along the line segment OP is _____ (rounded off to three decimal places).

Diagram for Engineering Sciences question 86

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A simply supported beam of length

m is subjected to a concentrated moment

kNm at a distance

from the left end as shown in the figure. The elastic-strain energy

of the beam is given by the following expression:

The section modulus of the beam is

Nm².

The absolute value of the slope of the beam at a distance

from the left end is _____ (rounded off to three decimal places).

Diagram for Engineering Sciences question 87

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Consider any substance whose mass specific heat capacity at constant pressure and mass specific heat capacity at constant volume are

and

, respectively. If the gas constant is

, which ONE of the following relations is CORRECT for the substance at all conditions?

Your answerChoose one option.

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Consider a mixture of ideal gases: nitrogen (N₂) and carbon-dioxide (CO₂), at 25 °C and 101 kPa. The molar mass of N₂ is 28 kg/kmol and the molar mass of CO₂ is 44 kg/kmol. If the molar mass of the mixture is 34 kg/kmol, which ONE of the following mixture compositions is possible?

Your answerChoose one option.

62.5% N₂ and 37.5% CO₂ by mass

62.5% N₂ and 37.5% CO₂ by volume

37.5% N₂ and 62.5% CO₂ by mass

37.5% N₂ and 62.5% CO₂ by volume

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In a mixing chamber hot water enters at a temperature of 80 °C with a flow rate of 0.5 kg/s. From another entry, cold water enters the chamber at 20 °C. The desired temperature after mixing at the exit of the chamber is 40 °C. There is no water leakage and the mixing happens at adiabatic conditions. Assume the specific heat capacity of water is 4.2 kJ/kg-K. For a steady state operation, the mass flow rate (in kg/s) of the cold-water stream is

Your answerChoose one option.

2.0

1.5

1.0

0.5

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GATE XE branch:xe PYQs

Question 81

Question 82

Question 83

Question 84

Question 85

Question 86

Question 87

Question 88

Question 89

Question 90