GATE XE format:nat PYQs & Answers — Page 42

Questions 411–420 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 42 of 67

Consider two point masses

kg and

kg connected by a massless inextensible string passing over a massless and frictionless pulley with radius

mm as shown. The masses are released from rest and move vertically under the action of gravity. Let acceleration due to gravity,

m/s

. The tension (in N) in the string is _____.

Diagram for Engineering Sciences question 9

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The bar AB is fixed at A and is separated by a gap of 0.005 mm from wall at C as shown. The temperature of the bar is increased by

C. If the Young’s modulus of the bar is

GPa and the coefficient of thermal expansion is

C, then the magnitude of the compressive stress (in MPa) developed in the bar is _____.

Diagram for Engineering Sciences question 15

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A thin walled spherical pressure vessel has mean radius 100 mm and wall thickness 10 mm. The material has Young’s modulus 200 GPa and Poisson’s ratio 0.25. If the internal pressure is 100 MPa, the radial displacement (in mm) of the spherical pressure vessel (rounded off to two decimal places) is_____.

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A particle of mass

kg is released from rest and falls under gravity through a height of

m directly onto an upright massless elastic bar of length

mm, Young’s modulus 200 GPa, and cross-sectional area 100 mm

. Assume the following during impact: (a) particle mass sticks to the bar, (b) the bar does not buckle, and (c) no energy is lost. Use gravitational acceleration

m/s

. The maximum axial compression (in mm) of the bar due to the impact (rounded off to two decimal places) is _____.

Diagram for Engineering Sciences question 17

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A pin-jointed truss has a pin support at A and a roller support at C. All the members are made of same material and have the same cross-section. Neglect the self-weight of the members. Due to the applied loading shown, the total number of zero force members is _____.

Diagram for Engineering Sciences question 18

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Two beams AB and BC having diameter of 100 mm are connected by an internal hinge at B. The structure is fixed at A and roller supported at C. Load of

kN is applied at B. Ignoring the effect of any transverse shear stress, the tensile stress (in MPa) developed at A due to bending (rounded off to three decimal places) is _____.

Diagram for Engineering Sciences question 19

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The shear force diagram for a beam AD, which is simply supported at A and D, is shown. The magnitude of the maximum bending moment (in kN.m) is _____ (rounded off to three decimal places).

Diagram for Engineering Sciences question 20

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A rectangular thin plate with Young’s modulus 200 GPa and Poisson’s ratio 0.30 is subjected to uniform stress distribution at its edges as shown. However, it is stated that the dimension

of the plate does not change under the action of the stress components

and

. Considering micro-strains (in

), the change in the length of dimension

(in mm) is_____(rounded off to three decimal places).

Diagram for Engineering Sciences question 21

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A solid transmission shaft has length 10 m and diameter 100 mm. The shaft is supported by frictionless bearings at ends that act as simple supports. In addition to its self-weight acting as a uniformly distributed load per unit length, an operational torque of

kN.m is applied. The density and yield strength of the material are 800 kg/m

and 350 MPa, respectively. Use gravitational acceleration as 10 m/s

and ignore the effect of transverse shear stress. The factor of safety of the shaft as per maximum shear stress failure theory (Tresca criterion) is ________ (rounded off to two decimal places).

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A new temperature scale (°N) has been proposed where the normal freezing and normal boiling points of water are marked as 500 °N and 100 °N, respectively. If the temperature of a system is measured to be 0 °N, its temperature according to the Celsius scale (in °C) is ________.

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GATE XE format:nat PYQs

Question 9

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 6