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GATE Mechanical 2014 Set 4 | Question: 5
Laplace transform of $\cos(\omega t)$ is $\dfrac{s}{s^2+\omega ^2}$. The Laplace transform of $e^{-2t} \cos(4t)$ is $\dfrac{s-2}{(s-2)^2+16} \\$ $\dfrac{s+2}{(s-2)^2+16} \\$ $\dfrac{s-2}{(s+2)^2+16} \\$ $\dfrac{s+2}{(s+2)^2+16}$
Laplace transform of $\cos(\omega t)$ is $\dfrac{s}{s^2+\omega ^2}$. The Laplace transform of $e^{-2t} \cos(4t)$ is$\dfrac{s-2}{(s-2)^2+16} \\$$\dfrac{s+2}{(s-2)^2+16} \\...
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GATE Mechanical 2014 Set 2 | Question: 52
For the CNC part programming, match Group A with Group B: ... $P-I, Q-III, R-II, S-IV$ $P-I, Q-IV, R-II, S-III$ $P-II, Q-I, R-III, S-IV$
For the CNC part programming, match Group A with Group B:$\begin{array}{|l|l|l|l|} \hline & \textbf{Group A} && \textbf{Group B} \\ \hline P: & \text{circular interpolati...
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GATE ME 2013 | Question: 63
Find the sum of the expression $\dfrac{1}{\sqrt{1}+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+ \dots \dots +\dfrac{1}{\sqrt{80}+\sqrt{81}}$ $7$ $8$ $9$ $10$
Find the sum of the expression$\dfrac{1}{\sqrt{1}+\sqrt{2}}+\dfrac{1}{\sqrt{2}+\sqrt{3}}+\dfrac{1}{\sqrt{3}+\sqrt{4}}+ \dots \dots +\dfrac{1}{\sqrt{80}+\sqrt{81}}$$7$$8$$...
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GATE Mechanical 2024 | Question: 3
​​​​​Let $f(z)$ be an analytic function, where $z=x+i y$. If the real part of $f(z)$ is $\cosh x \cos y$, and the imaginary part of $f(z)$ is zero for $y=0$, then $f(z)$ is $\cosh x \exp (-i y)$ $\cosh z \exp z$ $\cosh z \cos y$ $\cosh z$
​​​​​Let $f(z)$ be an analytic function, where $z=x+i y$. If the real part of $f(z)$ is $\cosh x \cos y$, and the imaginary part of $f(z)$ is zero for $y=0$, th...
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GATE Mechanical 2022 Set 1 | Question: 47
Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding parameters. ... $\text{mm/s}$ (round off to one decimal place).
Two mild steel plates of similar thickness, in butt-joint configuration, are welded by gas tungsten arc welding process using the following welding parameters.$$\begin{ar...
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GATE2020-ME-1: 8
A four bar mechanism is shown below. For the mechanism to be a crank-rocker mechanism, the length of the link $PQ$ can be $80\: mm$ $200\: mm$ $300\: mm$ $350\: mm$
A four bar mechanism is shown below. For the mechanism to be a crank-rocker mechanism, the length of the link $PQ$ can be$80\: mm$$200\: mm$$300\: mm$$350\: mm$
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ISRO2009-1
A hydraulic press has a ram of $15 \: \text{cm}$ diameter and plunger of $1.5 \: \text{cm}$. It is required to lift a mass of $1000 \: \text{kg}$. The force required on plunger is nearly equal to $100\;\text{N}$ $1000\;\text{N}$ $10000\;\text{N}$ $10\;\text{N}$
A hydraulic press has a ram of $15 \: \text{cm}$ diameter and plunger of $1.5 \: \text{cm}$. It is required to lift a mass of $1000 \: \text{kg}$. The force required on p...
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GATE2017 ME-1: 9
Which one of the following is NOT a rotating machine? Centrifugal pump Gear pump Jet pump Vane pump
Which one of the following is NOT a rotating machine?Centrifugal pumpGear pumpJet pumpVane pump
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GATE Mechanical 2014 Set 4 | Question: 8
Which one of the following is used to convert a rotational motion into a translational motion? Bevel gears Double helical gears Worm gears Rack and pinion gears
Which one of the following is used to convert a rotational motion into a translational motion?Bevel gearsDouble helical gearsWorm gearsRack and pinion gears
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GATE ME 2013 | Question: 14
In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to $-1$ $\text{zero}$ $0.5$ $1.0$
In simple exponential smoothing forecasting, to give higher weightage to recent demand information, the smoothing constant must be close to$-1$$\text{zero}$$0.5$$1.0$
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ISRO2009-9
The radiative heat transfer rate per unit area $(W/m2)$ between two plane parallel grey surfaces (emissivity $0.9$) maintained at $400 \: \text{K}$ and $300 \: \text{K}$ is (Stefan Bottzman constant $\sigma=5.67 \times 10^{-6} \;W/m^2K^4)$ $1020$ $464$ $812$ $567$
The radiative heat transfer rate per unit area $(W/m2)$ between two plane parallel grey surfaces (emissivity $0.9$) maintained at $400 \: \text{K}$ and $300 \: \text{K}$ ...
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GATE2017 ME-2: 27
Consider the differential equation $3y" (x)+27 y (x)=0$ with initial conditions $y(0)=0$ and $y'(0)=2000$. The value of $y$ at $x=1$ is ________.
Consider the differential equation $3y" (x)+27 y (x)=0$ with initial conditions $y(0)=0$ and $y'(0)=2000$. The value of $y$ at $x=1$ is ________.
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GATE2017 ME-2: 1
Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is _______.
Two coins are tossed simultaneously. The probability (upto two decimal points accuracy) of getting at least one head is _______.
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GATE2017 ME-1: 22
Match the processes with their characteristics: ... $P-3, Q-2, R-1, S-4$ $P-3, Q-2, R-4, S-1$ $P-2, Q-4, R-3, S-1$
Match the processes with their characteristics:$\begin{array}{|l|l|l|} \hline & \textbf{Process} & & \textbf{Characteristics} \\ \hline P. & \text{Electrical Discharge Ma...
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GATE2017 ME-1: 11
The molar specific heat at constant volume of an ideal gas is equal to $2.5$ times the universal gas constant ($8.314$ J/mol.K). When the temperature increases by $100$K, the change in molar specific enthalpy is __________ J/mol.
The molar specific heat at constant volume of an ideal gas is equal to $2.5$ times the universal gas constant ($8.314$ J/mol.K). When the temperature increases by $100$K,...
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GATE2016-3-6
A force F is acting on a bent bar which is clamped at one end as shown in the figure. The CORRECT free body diagram is
A force F is acting on a bent bar which is clamped at one end as shown in the figure.The CORRECT free body diagram is
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GATE Mechanical 2016 Set 2 | GA Question: 1
The volume of a sphere of diameter $1$ unit is ________ than the volume of a cube of side $1$ unit. least less lesser low
The volume of a sphere of diameter $1$ unit is ________ than the volume of a cube of side $1$ unit.leastlesslesserlow
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