GATE ME discipline:mechanical-and-production-engineering PYQs & Answers — Page 4

Questions 31–40 of 1040. Imported answers require independent review unless marked reviewed.

Which one of the following options is NOT an error associated with Stereolithography (STL) file in additive manufacturing?

Your answerChoose one option.

Staircase effect

Missing facet

Non-manifold topology conditions

Degenerate facets

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A work piece is to be firmly held in a fixture. It is to be machined by using a plain slab milling cutter as shown in the figure below. Which one of the following options is the most suitable value of height H of the fixture in mm?

Diagram for Mechanical Engineering question 32

Your answerChoose one option.

200

210

150

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A two-dimensional surface profile is obtained over a sampling length by using a contact type stylus profilometer as shown in the figure below. A line AA parallel to the general lay of the trace is considered. The true heights from AA to the peaks and valleys (in μm) in the trace are also shown in the figure (not to scale). The ten-point height average in μm is

Diagram for Mechanical Engineering question 33

Your answerChoose one option.

4.57

5.99

3.09

2.90

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A steel plate having yield strength of 550 MPa, is subjected to biaxial state of stress as

and

. Using distortion energy theory and considering the factor of safety as 2, the permissible value of

that can be applied to the plate is ______ MPa (rounded off to 1 decimal place).

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A sphere of radius 5 mm is initially in equilibrium at 400 °C in a furnace. It is suddenly removed from the furnace and dipped in a well-stirred water bath at 20 °C, with a convection heat transfer coefficient of 500 W/(m²K). For the given range of temperatures, the thermophysical properties of the material of the sphere are: density

kg/m³, thermal conductivity

W/(mK), and specific heat

J/(kg K). Neglecting radiation heat transfer, the time required for the centre of the sphere to cool from 400 °C to 50 °C is ______ seconds (rounded off to 2 decimal places).

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, where

, then which one of the following statements is correct?

Your answerChoose one option.

analytic everywhere except at

is non-analytic everywhere

The conjugate functions of

are

and

The conjugate functions of

are

and

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Consider the following differential equation

, then the solution of the differential equation is

Your answerChoose one option.

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Let

be a function of

defined for all positive values of

. The Laplace transform of

denoted by

, provided that the integral exists where

is a parameter which may be a real or complex number.

The Laplace transform of

Your answerChoose one option.

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A student council of 10 members consists of two students from engineering school, three students from science school and five students from arts school. The university administration selects three students from the council at random. What is the chance that out of the selected students, two belong to the same school and the third belongs to different school?

Your answerChoose one option.

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A cantilever beam of length

is subjected to a concentrated load

and a moment

as shown in the figure below. Neglecting the mass of the beam, which one of the following options is the correct representation of shear force diagram (SFD) and bending moment diagram (BMD)?