Highest voted questions in Others / GO Mechanical

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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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GATE2020-ME-2: 30
A thin-walled cylinder of radius $r$ and thickness $t$ is open at both ends, and fits snugly between two rigid walls under ambient conditions, as shown in the figure. The material of the cylinder has Young's modulus $E$, Poisson's ratio $v$, and coefficient of thermal expansion $\alpha$. What ... $\Delta T = \big( v + \dfrac{1}{2} \big) \dfrac{pr}{ \alpha t E} $

A thin-walled cylinder of radius $r$ and thickness $t$ is open at both ends, and fits snugly between two rigid walls under ambient conditions, as shown in the figure.The ...

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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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GATE2020-ME-2: 32
Two rollers of diameters $D_1$ (in mm) and $D_2$ (in mm) are used to measure the internal taper angle in the V-groove of a machined component. The heights $H_1$ (in mm) and $H_2$ (in mm) are measured by using a height gauge after inserting the rollers into the same V-groove as shown ... $\sin \alpha = \dfrac{(H_1-H_2) }{ (D_1 - D_2)} $

Two rollers of diameters $D_1$ (in mm) and $D_2$ (in mm) are used to measure the internal taper angle in the V-groove of a machined component. The heights $H_1$ (in mm) a...

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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} \\ ...

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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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GATE2020-ME-2: 37
A hollow spherical ball of radius $20$ cm floats in still water, with half of its volume submerged. Taking the density of water as $1000 \: kg/m^3$, and the acceleration due to gravity as $10 \: m/s^2$, the natural frequency of small oscillations of the ball, normal to the water surface is __________ radians/s (round off to $2$ decimal places)

A hollow spherical ball of radius $20$ cm floats in still water, with half of its volume submerged. Taking the density of water as $1000 \: kg/m^3$, and the acceleration ...

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GATE2020-ME-2: 38
Uniaxial compression test data for a solid metal bar of length $1$ m is shown in the figure. The bar material has a linear elastic response from $O$ to $P$ followed by a nonlinear response. The point $P$ represents the yield point of the material. ... bar so that it does not buckle under axial loading before reaching the yield point is _______ mm ( round off to one decimal place)

Uniaxial compression test data for a solid metal bar of length $1$ m is shown in the figure.The bar material has a linear elastic response from $O$ to $P$ followed by a n...

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GATE2020-ME-2: 39
The turning moment diagram of a flywheel fitted to a fictitious engine is shown in the figure. The mean turning moment is $2000$ Nm. The average engine speed is $1000$ rpm. For fluctuation in the speed to be within $\pm 2\%$ of the average speed, the mass moment of inertia of the flywheel is ________ $kg \cdot m^2$

The turning moment diagram of a flywheel fitted to a fictitious engine is shown in the figure.The mean turning moment is $2000$ Nm. The average engine speed is $1000$ rpm...

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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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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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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 $...

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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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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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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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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

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Arjun asked Feb 9, 2019

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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 asked Mar 19, 2018

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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

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GATE Mechanical 2023 | Question: 42
A steel sample with $1.5 \; \mathrm{wt}. \%$ carbon (no other alloying elements present) is slowly cooled from $1100^{\circ} \mathrm{C}$ ... the total cementite content in the microstructure that develops just below the eutectoid temperature is ___________. (Rounded off to two decimal places)

A steel sample with $1.5 \; \mathrm{wt}. \%$ carbon (no other alloying elements present) is slowly cooled from $1100^{\circ} \mathrm{C}$ to just below the eutectoid tempe...

admin

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admin asked May 21, 2023