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GATE2020ME1: 26
The evaluation of the definite integral $\int ^{1.4}_{ – 1}x \mid x \mid dx$ by using Simpson’s $1/3^{rd}$ (one  third) rule with step size $h=0.6$ yields $0.914$ $1.248$ $0.581$ $0.592$
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gate2020me1
engineeringmathematics
0
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0
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GATE2020ME1: 27
A vector field is defined as ... shell formed by two concentric spheres with origin as the center, and internal and external radii of $1$ and $2$, respectively, is $0$ $2\pi$ $4\pi$ $8\pi$
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gate2020me1
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GATE2020ME1: 28
Bars of square and circular crosssection with $0.5\: m$ length are made of a material with shear strength of $20\: MPa$. The square bar crosssection dimension is $4\:cm \times$ $4\:cm$ and the cylindrical bar cross ... the applied load as per maximum shear stress theory? Tensile and compressive load specimens Torsional load specimen Bending load specimen None of the specimens
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2.7k
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gate2020me1
0
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0
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GATE2020ME1: 29
The $2$ kg block shown in the figure (top view) rests on a smooth horizontal surface and is attached to a massless elastic cord that has a stiffness $5\: N/m$. The cord hinged at $\text{O}$ is initially unstretched and always remains elastic. The block is given a velocity $v$ ... $0.4\: m$ is $0.83$ $1.07$ $1.36$ $1.50$
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
appliedmechanicsanddesign
mechanicsofmaterials
0
votes
0
answers
GATE2020ME1: 30
The truss shown in the figure has four members of length $\text{l}$ and flexural rigidity $\text{EI}$, and one member of length $l\sqrt{2}$ and flexural rigidity $\text{4EI}$. The truss is loaded by a pair of forces of magnitude $\text{P}$ ... $\frac{\pi ^{2}EI}{l^{2}}$ $\frac{2\pi ^{2}EI}{l^{2}}$ $\frac{\pi ^{2}EI}{2l^{2}}$
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
appliedmechanicsanddesign
engineeringmechanics
trusses
0
votes
0
answers
GATE2020ME1: 31
A rigid massless rod of length $L$ is connected to a disc (pulley) of mass $m$ and radius $r = L/4$ through a frictionless revolute joint. The other end of that rod is attached to a wall through a frictionless hinge. A spring of stiffness $2k$ is attached to the rod at its midspan. ... ${\frac{3}{\sqrt{2}}}\sqrt{\frac{k}{m}}$ $\sqrt{3}\sqrt{\frac{k}{m}}$ $\sqrt{\frac{k}{m}}$
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
appliedmechanicsanddesign
machinedesign
springs
0
votes
0
answers
GATE2020ME1: 32
A strip of thickness $40\:mm$ is to be rolled to a thickness of $20\:mm$ using a twohigh mill having rolls of diameter $200\:mm$. Coefficient of friction and arc length in $mm$, respectively are $0.45\:\text{and}\:38.84$ $0.39\:\text{and}\:38.84$ $0.39\:\text{and}\:44.72$ $0.45\:\text{and}\:44.72$
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
materialsmanufacturingandindustrialengineering
castingformingandjoiningprocess
0
votes
0
answers
GATE2020ME1: 33
For an assembly line, the production rate was $4$ pieces per hour and the average processing time was $60$ minutes. The $\text{WIP}$ inventory was calculated. Now, the production rate is kept the same, and the average processing time is brought down by $30$ percent. As ... , the $\text{WIP}$ inventory decreases by $25\%$ increases by $25\%$ decreases by $30\%$ increases by $30\%$
asked
Feb 19
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by
jothee
(
2.7k
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gate2020me1
materialsmanufacturingandindustrialengineering
operationsresearch
0
votes
0
answers
GATE2020ME1: 34
A small metal bead $(\text{radius}\: 0.5\: mm)$, initially at $100^{\circ}C$ , when placed in a stream of fluid at $20^{\circ}C$ , attains a temperature of $28^{\circ}C$ in $4.35$ ... heat transfer coefficient $(in\:W/m^{2}.K)$ between the metal bead and the fluid stream is $283.3$ $299.8$ $149.9$ $449.7$
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
fluidmechanicsandthermalscience
heattransfer
0
votes
0
answers
GATE2020ME1: 35
Consider two exponentially distributed random variables $\text{X and Y}$, both having a mean of $0.50$. Let $Z=X+Y$ and $r$ be the correlation between $\text{X and Y}$.If the variance of $Z$ equals $0$, then the value of $r$ is __________ (roundoff to $2$ decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
engineeringmathematics
differentialequation
randomvariables
0
votes
0
answers
GATE2020ME1: 36
An analytic function of a complex variable $z=x + iy \left ( i=\sqrt{1} \right )$ is defined as $f\left ( z \right )=x^{2}y^{2}+i\psi \left ( x,y \right ),$ where $\psi \left ( x,y \right )$ is a real function. The value of the imaginary part of $f(z)$ at $z=\left ( 1+i \right )$ is __________ (round off to $2$ decimal places).
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
engineeringmathematics
0
votes
0
answers
GATE2020ME1: 37
In a disctype axial clutch, the frictional contact takes place within an annular region with outer and inner diameters $250\:mm$ and $50\:mm$, respectively. An axial force $F_{1}$ is needed to transmit a torque by a new clutch. However, to transmit the same ... coefficient of friction does not change, then the ratio $F_{1}/F_{2}$ is _________ (round off to $2$ decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
0
votes
0
answers
GATE2020ME1: 38
A cam with a translating flatface follower is desired to have the follower motion $y\left ( \theta \right )=4\left [ 2\pi \theta \theta ^{2} \right ],\:\:\:0\leq \theta \leq 2\pi .$ Contact stress considerations dictate that the radius ... should not be less than $40\:mm$ anywhere. The minimum permissible base circle radius is _________$mm$ (round off to one decimal place).
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
0
votes
0
answers
GATE2020ME1: 39
A rectangular steel bar of length $500\: mm$, width $100\: mm$, and thickness $15\: mm$ is cantilevered to a $200\: mm$ steel channel using $4$ bolts, as shown For an external load of $10\: kN$ applied at the tip of the steel bar, the resultant shear load on the bolt at $B$, is _______$kN$ (round off to one decimal place).
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
0
votes
0
answers
GATE2020ME1: 40
The barrier shown between two water tanks of unit width $(1\: m)$ into the plane of the screen in modeled as a cantilever. Taking the density of water as $1000\:kg/m^{3}$ , and the acceleration due to gravity as $10\:m/s^{2}$ , the maximum absolute bending moment developed in the cantilever is _________$kN\cdot m$ (round off to the nearest integer).
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
deflectionofbeams
0
votes
0
answers
GATE2020ME1: 41
The magnitude of reaction force at joint $C$ of the hingebeam shown in the figure is __________$kN$ (round off to $2$ decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
deflectionofbeams
0
votes
0
answers
GATE2020ME1: 42
A slot of $25\:mm\times 25\:mm$ is to be milled in a workpiece of $300\: mm$ length using a side and face milling cutter of diameter $100\: mm$, width $25\: mm$ and having $20$ teeth.For a depth of cut $5\: mm$ ... and approach and over travel distance of $5\: mm$ each, the time required for milling the slot is ________ minutes (round off to one decimal place).
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
machiningandmachinetoolsoperation
0
votes
0
answers
GATE2020ME1: 43
The following data applies to basic shaft system: tolerance for hole$ = 0.002\: mm$, tolerance for shaft$ = 0.001\: mm$, allowance $= 0.003\: mm$, basic size $= 50\: mm$. The maximum hole size is _______ $mm$ (round off to $3$ decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
metrologyandinspection
fitsandtolerance
0
votes
0
answers
GATE2020ME1: 44
A steel part with surface area of $125\:cm^{2}$ is to be chrome coated through an electroplating process using chromium acid sulphate as an electrolyte. An increasing current is applied to the part according to the following current time relation: $I=12+0.2t$ ... $\mu m$ (round off to one decimal place).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
0
votes
0
answers
GATE2020ME1: 45
In a turning process using orthogonal tool geometry, a chip length of $100\: mm$ is obtained for an uncut chip length of $250\: mm$. The cutting conditions are: cutting speed $= 30\: m/min$, rake angle $ = 20^{\circ}$. The shear plane angle is _______ degrees (round off to one decimal place).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
machiningandmachinetooloperation
0
votes
0
answers
GATE2020ME1: 46
The thickness of a steel plate with material strength coefficient of $210\: MPa$, has to be reduced from $20\: mm$ to $15\: mm$ in a single pass in a twohigh rolling mill with a roll radius of $450\: mm$ and rolling velocity of $28\: m/min$. If the ... ). Note: $\text{Average Flow Stress = Material Strength Coefficient}\times \dfrac{\left (\text{True Strain} \right )^{n}}{(1+n)}$
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
machiningandmachinetooloperation
0
votes
0
answers
GATE2020ME1: 47
Two business owners Shveta and Ashok run their business in two different states. Each of them, independent of the other, produces two products $A$ and $B$, sells them at $Rs.\:2,000$ per kg and $Rs.\:3,000$ per kg, respectively, and uses ... value of the difference in daily (optimal) revenue of Shveta and Ashok is _________ thousand Rupees (round off to $2$ decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
operationsresearch
0
votes
0
answers
GATE2020ME1: 48
$\textbf{Consider two cases as below.}$ $\textbf{Case 1:}$ A company buys $1000$ pieces per year of a certain part from vendor $'X'.$ The changeover time is $2$ hours and the price is $Rs.\: 10$ per piece. The holding cost rate per part is $10\%$ ... reduction in the annual cost of $\text{Case 2}$, as compared to $\text{Case 1}$ is __________ (round off to $2$ decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
materialsmanufacturingandindustrialengineering
operationsresearch
0
votes
0
answers
GATE2020ME1: 49
Consider steady, viscous, fully developed flow of a fluid through a circular pipe of internal diameter $\text{D}$. We know that the velocity profile forms a paraboloid about the pipe centre line, given by: $V=C\left(r^{2}\dfrac{D^{2}}{4}\right) m/s$ ... the control surface $\text{AB}$, as shown in the figure, is proportional to $D^{n}$. The value of $n$ is ________.
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
fluidmechanics
flowthroughpipes
0
votes
0
answers
GATE2020ME1: 50
Air discharges steadily through a horizontal nozzle and impinges on a stationary vertical plate as shown in figure. The inlet and outlet areas of the nozzle are $0.1\:m^{2}\:\text{and}\:0.02\:m^{2}$ ... is $0.36\:kPa$, the gauge pressure at point $O$ on the plate is __________ $kPa$ (round off to two decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
fluidmechanics
0
votes
0
answers
GATE2020ME1: 51
Air (ideal gas) enters a perfectly insulated compressor at a temperature of $310\: K$. The pressure ratio of the compressor is $6$. Specific heat at constant pressure for air is $1005\: J/kg . K$ and ratio of specific heats at constant pressure ... difference in enthalpies of air between the exit and the inlet of the compressor is _________ $kJ/kg$ (round off to nearest integer).
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
thermodynamics
0
votes
1
answer
GATE2020ME1: 52
One kg of air, initially at a temperature of $127^{\circ}C$ , expands reversibly at a constant pressure until the volume is doubled. If the gas constant of air is $287\: J/kg.K$, the magnitude of work transfer is ________ $kJ$ (round off to $2$ decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
thermodynamics
0
votes
0
answers
GATE2020ME1: 53
For an ideal Rankine cycle operating between pressures of $30$ bar and $0.04$ bar,the work output from the turbine is $903\: kJ/kg$ and the work input to the feed pump is $3\: kJ/kg$. The specific steam consumption is _________ $kg/kW.h$ round off to $2$ decimal places).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
thermodynamics
0
votes
0
answers
GATE2020ME1: 54
For a Kaplan (axial flow) turbine, the outlet blade velocity diagram at a section is shown in the figure. The diameter at this section is $3\:m$.The hub and tip diameters of the blade are $2\:m$ and $4\:m$, respectively. The water volume flow ... rotational speed of the turbine is $300\:rpm$. The blade outlet angle $\beta$ is ________ degrees (round off to one decimal place).
asked
Feb 19
in
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by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
applications
kaplanturbines
0
votes
0
answers
GATE2020ME1: 55
The indicated power developed by an engine with compression ratio of $8$, is calculated using an airstandard Otto cycle (constant properties). The rate of heat addition is $10\: kW$ ... of the engine is $80$ percent. The brake power output of the engine is _________$kW$ (round off to one decimal place).
asked
Feb 19
in
Others
by
jothee
(
2.7k
points)
gate2020me1
numericalanswers
fluidmechanicsandthermalscience
i.cengines
0
votes
0
answers
GATE2019 ME2: 10
Sphere $1$ with a diameter of $0.1$ m is completely enclosed by another sphere $2$ of diameter $0.4$m. The view factor $F_{12}$ is $0.0625$ $0.25$ $0.5$ $1.0$
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
answers
GATE2019 ME2: 15
The fluidity of molten metal of cast alloys (without any addition of fluxes) increases with increase in viscosity surface tension freezing range degree of superheat
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
materialsmanufacturingandindustrialengineering
castingformingandjoiningprocess
differenttypesofcasting
0
votes
0
answers
GATE2019 ME2: 16
The cold forming process in which a hardened tool is pressed against a workpiece (when there is relative motion between the tool and the workpiece) to produce a roughened surface with a regular pattern is Roll forming Strip forming Knurling Chamfering
asked
Feb 10, 2019
in
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by
Arjun
(
21.2k
points)
gate2019me2
materialsmanufacturingandindustrialengineering
castingformingandjoiningprocess
0
votes
0
answers
GATE2019 ME2: 17
The most common limit gage used for inspecting the hole diameter is Snap gage Ring gage Plus gage Madter gage
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
materialsmanufacturingandindustrialengineering
metrologyandinspection
0
votes
0
answers
GATE2019 ME2: 18
The transformation matrix for mirroring a point in $x – y$ plane about the line $y=x$ is given by $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \\$ $\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \\$ $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix} \\$ $\begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}$
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
engineeringmathematics
linearalgebra
matrixalgebra
0
votes
1
answer
GATE2019 ME2: 19
If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
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gate2019me2
numericalanswers
engineeringmathematics
0
votes
0
answers
GATE2019 ME2: 20
The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
appliedmechanicsanddesign
engineeringmechanics
trusses
0
votes
0
answers
GATE2019 ME2: 21
The state of stress at a point in a component is represented by a Mohr’s circle of radius $100$ MPa centered at $200$ MPa on the thermal stress axis. On a plane passing through the same point, the normal stress is $260$ MPa. The magnitude of the shear stress on the same plane at the same point is _______ MPa
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
stressstrain
0
votes
0
answers
GATE2019 ME2: 22
A wire of circular crosssection of diameter $1.0$ mm is bent into a circular arc of radius. $1.0$ m by application of pure bending moments at its ends. The Young’s modulus of the material of the wire is $100$ GPa. The maximum tensile stress developed in the wire is ______ MPa
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
appliedmechanicsanddesign
mechanicsofmaterials
0
votes
0
answers
GATE2019 ME2: 23
Water enters a circular pipe of length $L=5.0$ m and diameter $D=0.20$m with Reynolds number $Re_D=500$. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit. The Reynolds number at the exit of the pipe is _________
asked
Feb 10, 2019
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
fluidmechanicsandthermalscience
fluidmechanics
flowthroughpipes
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