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GATE2020-ME-2: 33
The forecast for the monthly demand of a product is given in the table below: ... by using the exponential smoothing method. The exponential smoothing coefficient used in forecasting the demand is $0.10$ $0.40$ $0.50$ $1.00$
The forecast for the monthly demand of a product is given in the table below:$\begin{array}{|c|c|c|} \hline \textbf{Month} & \textbf{Forecast} & \textbf{Actual Sales} \\ ...
go_editor
5.0k
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Sep 18, 2020
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gateme-2020-set2
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GATE2020-ME-2: 23
Consider the following network of activities, with each activity named $\textbf{A – L}$, illustrated in the nodes of the network. The number of hours required for each activity is shown alongside the nodes. The slack on the activity $\textbf{L}$, is _______ hours.
Consider the following network of activities, with each activity named $\textbf{A – L}$, illustrated in the nodes of the network.The number of hours required for each a...
go_editor
5.0k
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Sep 18, 2020
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gateme-2020-set2
numerical-answers
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GATE2020-ME-2: 21
A machine member is subjected to fluctuating stress $\sigma = \sigma_0 \cos (8 \pi t)$. The endurance limit of the material is $350$ MPa. If the factor of safety used in the design is $3.5$ then the maximum allowable value of $\sigma_0$ is _______ MPa. (round off to $2$ decimal places)
A machine member is subjected to fluctuating stress $\sigma = \sigma_0 \cos (8 \pi t)$. The endurance limit of the material is $350$ MPa. If the factor of safety used in ...
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5.0k
points
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Sep 18, 2020
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gateme-2020-set2
numerical-answers
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GATE2020-ME-2: 28
A cantilever of length $l$, and flexural rigidity $EI$, stiffened by a spring of stiffness $k$, is loaded by a transverse force $P$, as shown. The transverse deflection under the load is $\dfrac{Pl^3}{3EI} \begin{bmatrix} \dfrac{3EI}{3EI+2kl^3} \end{bmatrix}$ ... $\dfrac{Pl^3}{3EI} \begin{bmatrix} \dfrac{3EI}{3EI+kl^3} \end{bmatrix}$
A cantilever of length $l$, and flexural rigidity $EI$, stiffened by a spring of stiffness $k$, is loaded by a transverse force $P$, as shown.The transverse deflection un...
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5.0k
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Sep 18, 2020
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GATE2020-ME-2: 34
One kg of air in a closed system undergoes an irreversible process from an initial state of $p_1=1$ bar (absolute) and $T_1=27^\circ C$, to a final state of $p_2=3$ bar (absolute) and $T_2=127 ^ \circ C$ ... (in $\text{J/kg.K}$) of the air in the process is $-26.3$ $28.4$ $172.0$ indeterminate, as the process is irreversible
One kg of air in a closed system undergoes an irreversible process from an initial state of $p_1=1$ bar (absolute) and $T_1=27^\circ C$, to a final state of $p_2=3$ bar (...
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5.0k
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Sep 18, 2020
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GATE2020-ME-2: 31
A helical spring has spring constant $k$. If the wire diameter, spring diameter and the number of coils are all doubled then the spring constant of the new spring becomes $k/2$ $k$ $8k$ $16k$
A helical spring has spring constant $k$. If the wire diameter, spring diameter and the number of coils are all doubled then the spring constant of the new spring becomes...
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Sep 18, 2020
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GATE2020-ME-2: 20
A beam of negligible mass is hinged at support $P$ and has a roller support $Q$ as shown in the figure. A point load of $1200 \: N$ is applied at point $R$. The magnitude of the reaction force at support $Q$ is _________ $N$.
A beam of negligible mass is hinged at support $P$ and has a roller support $Q$ as shown in the figure.A point load of $1200 \: N$ is applied at point $R$. The magnitude ...
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Sep 18, 2020
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GATE2020-ME-2: 29
The sun (S) and the Planet (P) of an epicyclic gear train shown in the figure have identical number of teeth. If the sun (S) and the outer ring (R) gears are rotated in the same direction with angular speed $\omega_S$ and $\omega_R$ ... $\dfrac{3}{4} \omega _R - \dfrac{1}{4} \omega _S $
The sun (S) and the Planet (P) of an epicyclic gear train shown in the figure have identical number of teeth.If the sun (S) and the outer ring (R) gears are rotated in th...
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5.0k
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Sep 18, 2020
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GATE2020-ME-2: 25
If a reversed Carnot cycle operates between the temperature limits of $27^\circ C$ and $-3^\circ C$, then the ratio of the COP of a refrigerator to that of a heat pump (COP of refrigerator / COP of heat pump) based on the cycle is __________ (round off to $2$ decimal places).
If a reversed Carnot cycle operates between the temperature limits of $27^\circ C$ and $-3^\circ C$, then the ratio of the COP of a refrigerator to that of a heat pump (C...
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5.0k
points
go_editor
asked
Sep 18, 2020
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gateme-2020-set2
numerical-answers
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GATE2020-ME-2: 40
A rigid block of mass $m_1=10$ kg having velocity $v_0=2 \: m/s$ strikes a stationary block of mass $m_2=30$ kg after traveling $1$ m along a frictionless horizontal surface shown in the figure. The two masses stick together and jointly move by a distance of ... spring constant $k=10^5 \: N/m$. The maximum deflection of the spring is _________ cm (round off to $2$ decimal places)
A rigid block of mass $m_1=10$ kg having velocity $v_0=2 \: m/s$ strikes a stationary block of mass $m_2=30$ kg after traveling $1$ m along a frictionless horizontal surf...
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Sep 18, 2020
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gateme-2020-set2
numerical-answers
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GATE2020-ME-2: 46
A point $ P'$ on a CNC controlled $XY$-stage is moved to another point $ Q'$ using the coordinate system shown in the figure below and rapid positioning command $(G00)$ A pair of stepping motors with maximum speed of $800$ rpm, controlling both the $X$ ... The time needed to position the point $ P'$ to the point $ Q'$ is _________ minutes (round off to $2$ decimal places).
A point $‘P’$ on a CNC controlled $XY$-stage is moved to another point $‘Q’$ using the coordinate system shown in the figure below and rapid positioning command $...
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5.0k
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Sep 18, 2020
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numerical-answers
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GATE2020-ME-2: 42
A mould cavity of $1200 \: cm^3$ volume has to be filled through a sprue of $10$ cm length feeding a horizontal runner. Cross-sectional area at the base of the sprue is $2 \: cm^2$ ... frictional losses due to molten metal flow, the time taken to fill the mould cavity is ________ seconds (round off to $2$ decimal places)
A mould cavity of $1200 \: cm^3$ volume has to be filled through a sprue of $10$ cm length feeding a horizontal runner. Cross-sectional area at the base of the sprue is $...
go_editor
5.0k
points
go_editor
asked
Sep 18, 2020
Others
gateme-2020-set2
numerical-answers
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GATE2020-ME-2: 41
A steel spur pinion has a module $(m)$ of $1.25$ mm, $20$ teeth and $20^\circ$ pressure angle. The pinion rotates at $1200$ rpm and transmits power to a $60$ teeth gear. The face width $(F)$ is $50$ mm, Lewis form factor $Y=0.322$ and a ... round off to one decimal place). Lewis formula: $\sigma = \dfrac{K_vW^t}{FmY}$, where $W^t$ is the tangential load acting on the pinion.
A steel spur pinion has a module $(m)$ of $1.25$ mm, $20$ teeth and $20^\circ$ pressure angle. The pinion rotates at $1200$ rpm and transmits power to a $60$ teeth gear. ...
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asked
Sep 18, 2020
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gateme-2020-set2
numerical-answers
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GATE2020-ME-2: 15
In the space above the mercury column in a barometer tube, the gauge pressure of the vapour is positive, but more than one atmosphere negative zero positive, but less than one atmosphere
In the space above the mercury column in a barometer tube, the gauge pressure of the vapour ispositive, but more than one atmospherenegativezeropositive, but less than on...
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5.0k
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asked
Sep 18, 2020
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gateme-2020-set2
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GATE2020-ME-2: 44
There are two identical shaping machines $S_1$ and $S_2$. In machine $S_2$, the width of the workpiece is increased by $10\%$ and the feed is decreased by $10\%$, with respect to that of $S_1$. If all other conditions remain the same then the ratio of total time per pass in $S_1$ and $S_2$ will be _____ (round off to one decimal place).
There are two identical shaping machines $S_1$ and $S_2$. In machine $S_2$, the width of the workpiece is increased by $10\%$ and the feed is decreased by $10\%$, with re...
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5.0k
points
go_editor
asked
Sep 18, 2020
Others
gateme-2020-set2
numerical-answers
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0
answers
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GATE2020-ME-2: 43
A cylindrical bar with $200$ mm diameter is being turned with a tool having geometry $0 ^\circ - 9 ^\circ -7^ \circ - 8^ \circ - 15^ \circ - 30^ \circ - 0.05$ inch (coordinate system, ASA) resulting in a cutting force $F_{c1}$. If the tool geometry is ... .e. $\displaystyle \bigg( \frac{F_{c2} - F_{c1}}{F_{c1}} \bigg) \times 100$, is ________ (round off to one decimal place)
A cylindrical bar with $200$ mm diameter is being turned with a tool having geometry $0 ^\circ – 9 ^\circ -7^ \circ – 8^ \circ – 15^ \circ – 30^ \circ – 0.05$ i...
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5.0k
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asked
Sep 18, 2020
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gateme-2020-set2
numerical-answers
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GATE2019 ME-1: 4
The lengths of a large stock of titanium rods follow a normal distribution with a mean $(\mu)$ of $440$ mm and a standard deviation $(\sigma)$ of $1$ mm.What is the percentage of rods whose lengths lie between $438$ mm and $441$ mm? $81.85 \%$ $68.4 \%$ $99.75 \%$ $86.64 \%$
The lengths of a large stock of titanium rods follow a normal distribution with a mean $(\mu)$ of $440$ mm and a standard deviation $(\sigma)$ of $1$ mm.What is the perce...
Arjun
28.7k
points
Arjun
asked
Feb 9, 2019
Others
gateme-2019-set1
applied-mechanics-and-design
engineering-mechanics
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GATE ME 2012 | Question: 35
The inverse Laplace transform of the function $F(s) = \dfrac{1}{s(s+1)}$ is given by $f(t) = \sin t$ $f(t) = e^{-t} \sin t$ $f(t) = e^{-t}$ $f(t) = 1-e^{-t}$
The inverse Laplace transform of the function $F(s) = \dfrac{1}{s(s+1)}$ is given by$f(t) = \sin t$$f(t) = e^{-t} \sin t$$f(t) = e^{-t}$$f(t) = 1-e^{-t}$
Andrijana3306
1.5k
points
Andrijana3306
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Mar 19, 2018
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gate2012-m
engineering-mathematics
differntial-equations
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GATE ME 2013 | Question: 54
In a simple Brayton cycle, the pressure ratio is $8$ and temperatures at the entrance of compressor and turbine are $300$ $K$ and $1400$ $K$, respectively. Both compressor and gas turbine have isentropic efficiencies equal to $0.8$. For the gas, assume a constant value ... power required by the compressor in $kW$/$kg$ of gas flow rate is $194.7$ $243.4$ $304.3$ $378.5$
In a simple Brayton cycle, the pressure ratio is $8$ and temperatures at the entrance of compressor and turbine are $300$ $K$ and $1400$ $K$, respectively. Both compresso...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Others
gate2013-m
fluid-mechanics-and-thermal-science
applications
vapour-and-gas-power-cycles
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