Recent questions tagged gateme-2021-set1 / GO Mechanical

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GATE Mechanical 2021 Set 1 | Question: 28
A set of jobs $\text{A, B, C, D, E, F, G, H}$ arrive at time $t= 0$ for processing on turning and grinding machines. Each job needs to be processed in sequence first on the turning machine and second on the grinding machine, and the grinding must occur immediately after turning. The ... $\text{G-E-D-F-H-C-A-B}$ $\text{B-G-C-H-F-D-E-A}$

A set of jobs $\text{A, B, C, D, E, F, G, H}$ arrive at time $t= 0$ for processing on turning and grinding machines. Each job needs to be processed in sequence first on ...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 29
The fundamental thermodynamic relation for a rubber band is given by $dU=TdS+\tau dL$, where $\text{T}$ is the absolute temperature, $\text{S}$ is the entropy, $\tau$ is the tension in the rubber band, and $\text{L}$ is the length of the rubber band. ... $T=\left ( \frac{\partial U}{\partial S} \right )_{\tau}$

The fundamental thermodynamic relation for a rubber band is given by $dU=TdS+\tau dL$, where $\text{T}$ is the absolute temperature, $\text{S}$ is the entropy, $\tau$ is ...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 30
Consider a two degree of freedom system as shown in the figure, where $\text{PQ}$ is a rigid uniform rod of length, $\text{b}$ and mass, $\text{m}$. Assume that the spring deflects only horizontally and force $\text{F}$ is applied horizontally at $\text{Q}$. For ...

Consider a two degree of freedom system as shown in the figure, where $\text{PQ}$ is a rigid uniform rod of length, $\text{b}$ and mass, $\text{m}$.Assume that the spring...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 31
A right solid circular cone standing on its base on a horizontal surface is of height $\text{H}$ and base radius $\text{R}$. The cone is made of a material with specific weight $\text{w}$ and elastic modulus $\text{E}$. The vertical deflection at the mid-height ... $\frac{\text{wH}^{2}}{6E}$ $\frac{\text{wRH}}{8E}$ $\frac{\text{wRH}}{6E}$

A right solid circular cone standing on its base on a horizontal surface is of height $\text{H}$ and base radius $\text{R}$. The cone is made of a mater...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 32
A tappet valve mechanism in an $\text{IC}$ engine comprises a rocker arm $\text{ABC}$ that is hinged at $\text{B}$ as shown in the figure. The rocker is assumed rigid and it oscillates about the hinge $\text{B}$. The mass moment of inertia of ... at a speed of ____________ $\text{rpm} (\textit{round off to the nearest integer}$). $496$ $4739$ $790$ $2369$

A tappet valve mechanism in an $\text{IC}$ engine comprises a rocker arm $\text{ABC}$ that is hinged at $\text{B}$ as shown in the figure. The rocker is assumed rigid and...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 36
A true centrifugal casting operation needs to be performed horizontally to make copper tube sections with outer diameter of $\text{250 mm}$ and inner diameter of $\text{230 mm}$ ... the tube, the rotational speed required is _________ $\text{rpm}$ ($\textit{round off to the nearest integer}$).

A true centrifugal casting operation needs to be performed horizontally to make copper tube sections with outer diameter of $\text{250 mm}$ and inner diameter of $\text{2...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 37
The resistance spot welding of two $\text{1.55 mm}$ thick metal sheets is performed using welding current of $\text{10000 A}$ for $\text{0.25 s}$. The contact resistance at the interface of the metal sheets is $0.0001\; \Omega$ . The ... $\%$ ($\textit{round off to one decimal place}$).

The resistance spot welding of two $\text{1.55 mm}$ thick metal sheets is performed using welding current of $\text{10000 A}$ for $\text{0.25 s}$. The contact resistance ...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 38
An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of $12^{\circ}$ on a lathe. During turning, the cutting force and the friction force are $\text{1000 N}$ and $\text{600 N}$, respectively. If the ... $\text{N}$ ($\textit{round off to two decimal places}$).

An orthogonal cutting operation is performed using a single point cutting tool with a rake angle of $12^{\circ}$ on a lathe. During turning, the cutting force and the fri...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 39
In a grinding operation of a metal, specific energy consumption is $15 \text{ J/mm}^{3}$. If a grinding wheel with a diameter of $\text{200 mm}$ is rotating at $\text{3000 rpm}$ to obtain a material removal rate of $6000\text{ mm$^{3}$/min}$, then the tangential force on the wheel is _______ $\text{N}$ ($\textit{round off to two decimal places}$).

In a grinding operation of a metal, specific energy consumption is $15 \text{ J/mm}^{3}$. If a grinding wheel with a diameter of $\text{200 mm}$ is rotating at $\text{300...

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GATE Mechanical 2021 Set 1 | Question: 40
A $\text{200 mm}$ wide plate having a thickness of $\text{20 mm}$ is fed through a rolling mill with two rolls. The radius of each roll is $\text{300 mm}$. The plate thickness is to be reduced to $\text{18 mm}$ in one pass ... to permit the rolling operation then the roll force will be _________ $\text{kN}$ ($\textit{round off to the nearest integer}$).

A $\text{200 mm}$ wide plate having a thickness of $\text{20 mm}$ is fed through a rolling mill with two rolls. The radius of each roll is $\text{300 mm}$. The plate thic...

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GATE Mechanical 2021 Set 1 | Question: 41
The $\text{XY}$ table of a $\text{NC}$ machine tool is to move from $P(1,1)$ to $Q(51,1)$; all coordinates are in $\text{mm}$. The pitch of the $\text{NC}$ drive leadscrew is $\text{1 mm}$. If the backlash between the leadscrew and the ... of the table on moving from $\text{P}$ to $\text{Q}$ is ______ $\text{mm}$ ($\textit{round off to two decimal places}$)

The $\text{XY}$ table of a $\text{NC}$ machine tool is to move from $P(1,1)$ to $Q(51,1)$; all coordinates are in $\text{mm}$. The pitch of the $\text{NC}$ drive leadscre...

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GATE Mechanical 2021 Set 1 | Question: 42
Consider a single machine workstation to which jobs arrive according to a Poisson distribution with a mean arrival rate of $12$ jobs/hour. The process time of the workstation is exponentially distributed with a mean of $4$ minutes. The expected ... at the workstation at any given point of time is _______ ($\textit{round off to the nearest integer}$).

Consider a single machine workstation to which jobs arrive according to a Poisson distribution with a mean arrival rate of $12$ jobs/hour. The process time of the worksta...

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GATE Mechanical 2021 Set 1 | Question: 43
An uninsulated cylindrical wire of radius $\text{1.0 mm}$ produces electric heating at the rate of $\text{5.0 W/m}$. The temperature of the surface of the wire is $75\;^{\circ}C$ when placed in air at $25\;^{\circ}C$. When the wire is ... Wire. The thermal conductivity of $\text{PVC}$ is ______ $\text{W/m.K}$ ($\textit{round off to two decimal places}$).

An uninsulated cylindrical wire of radius $\text{1.0 mm}$ produces electric heating at the rate of $\text{5.0 W/m}$. The temperature of the surface of the wire is $75\;^{...

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GATE Mechanical 2021 Set 1 | Question: 44
A solid sphere of radius $\text{10 mm}$ is placed at the centroid of a hollow cubical enclosure of side length $\text{30 mm}$. The outer surface of the sphere is denoted by $1$ and the inner surface of the cube is denoted by $2$. The view factor $F_{22}$ for radiation heat transfer is ______ ($\textit{rounded off to two decimal places}$).

A solid sphere of radius $\text{10 mm}$ is placed at the centroid of a hollow cubical enclosure of side length $\text{30 mm}$. The outer surface of the sphere is denoted ...

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GATE Mechanical 2021 Set 1 | Question: 45
Consider a steam power plant operating on an ideal reheat Rankine cycle. The work input to the pump is $\text{20 kJ/kg}$. The work output from the high pressure turbine is $\text{750 kJ/kg}$. The work output from the low pressure turbine is ... of steam at the exit of the low pressure turbine is ______ $\%$ ($\textit{round off to the nearest integer}$).

Consider a steam power plant operating on an ideal reheat Rankine cycle. The work input to the pump is $\text{20 kJ/kg}$. The work output from the high pressure turbine i...

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GATE Mechanical 2021 Set 1 | Question: 46
In the vicinity of the triple point, the equation of liquid-vapour boundary in the $\text{P-T}$ phase diagram for ammonia is $ \ln p=24.38-3063/T$, where $\text{P}$ is pressure (in $\text{Pa}$) and $\text{T}$ is temperature (in ... $\text{K}$ ($\textit{round off to one decimal place}$).

In the vicinity of the triple point, the equation of liquid-vapour boundary in the $\text{P-T}$ phase diagram for ammonia is $ \ln p=24.38-3063/T$, where $\text{P}$ is pr...

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GATE Mechanical 2021 Set 1 | Question: 47
A cylindrical jet of water (density = $1000 \text{ kg/m}^{3}$ ... jet, then the velocity of the incoming jet is ___________________ $\text{m/s} (\textit{round off to one decimal place}$).

A cylindrical jet of water (density = $1000 \text{ kg/m}^{3}$) impinges at the center of a flat, circular plate and spreads radially outwards, as shown in the figure. The...

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GATE Mechanical 2021 Set 1 | Question: 48
A single jet Pelton wheel operates at $\text{300 rpm}$. The mean diameter of the wheel is $\text{2 m}$. Operating head and dimensions of jet are such that water comes out of the jet with a velocity of $\text{40 m/s}$ and flow rate ... all losses, the power developed by the Pelton wheel is _______ $\text{MW}$ ($\textit{round off to two decimal places}$).

A single jet Pelton wheel operates at $\text{300 rpm}$. The mean diameter of the wheel is $\text{2 m}$. Operating head and dimensions of jet are such that water comes out...

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GATE Mechanical 2021 Set 1 | Question: 49
An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoor air, the intake duct supplies a mixture of fresh air with a cold air ... of heat gain by the air from the room is _________________ $\text{kW}(\textit{round off to two decimal places}$).

An air-conditioning system provides a continuous flow of air to a room using an intake duct and an exit duct, as shown in the figure. To maintain the quality of the indoo...

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GATE Mechanical 2021 Set 1 | Question: 50
Two smooth identical spheres each of radius $\text{125 mm}$ and weight $\text{100 N}$ rest in a horizontal channel having vertical walls. The distance between vertical walls of the channel is $\text{400 mm}$. The reaction at the point of contact between two spheres is ___________________ $\text{N} (\textit{round off to one decimal place}$).

Two smooth identical spheres each of radius $\text{125 mm}$ and weight $\text{100 N}$ rest in a horizontal channel having vertical walls. The distance between vertical wa...

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GATE Mechanical 2021 Set 1 | Question: 51
An overhanging beam $\text{PQR}$ is subjected to uniformly distributed load $\text{20 kN/m}$ as shown in the figure. The maximum bending stree developed in the beam is ___________________ $\text{MPa} (\textit{round off to one decimal place}$).

An overhanging beam $\text{PQR}$ is subjected to uniformly distributed load $\text{20 kN/m}$ as shown in the figure.The maximum bending stree developed in the beam is ___...

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GATE Mechanical 2021 Set 1 | Question: 52
The Whitworth quick return mechanism is shown in the figure with link lengths as follows: $\text{OP = 300 mm, OA = 150 mm, AR = 160 mm, RS = 450 mm}$. The quick return ratio for the mechanism is ____________________ ($\textit{round off to one decimal place}$).

The Whitworth quick return mechanism is shown in the figure with link lengths as follows: $\text{OP = 300 mm, OA = 150 mm, AR = 160 mm, RS = 450 mm}$.The quick return rat...

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GATE Mechanical 2021 Set 1 | Question: 53
A short shoe drum (radius $\text{260 mm}$) brake is shown in the figure. A force of $\text{1 kN}$ is applied to the lever. The coefficient of friction is $0.4$. The magnitude of the torque applied by the brake is ____________________ $\text{N.m}(\textit{round off to one decimal place}$).

A short shoe drum (radius $\text{260 mm}$) brake is shown in the figure. A force of $\text{1 kN}$ is applied to the lever. The coefficient of friction is $0.4$.The magnit...

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GATE Mechanical 2021 Set 1 | Question: 54
A machine part in the form of cantilever beam is subjected to fluctuating load as shown in the figure The load varies from $\text{800 N}$ to $\text{1600 N}$. The modified endurance. yield and ultimate strengths of the ... factor of safety of the beam using modified Goodman criterion is ____________________ ($\textit{round off to one decimal place}$).

A machine part in the form of cantilever beam is subjected to fluctuating load as shown in the figure The load varies from $\text{800 N}$ to $\text{1600 N}$. The modified...

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gatecse asked Feb 22, 2021

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GATE Mechanical 2021 Set 1 | Question: 55
A cantilever beam of rectangular cross-section is welded to a support by means of two filled welds as shown in figure. A vertical load of $\text{2 kN}$ acts at free end of the beam. Considering that the allowable shear stress in weld ... minimum size (leg) of the weld required is _____________________ $\text{mm} (\textit{round off to one decimal place}$).

A cantilever beam of rectangular cross-section is welded to a support by means of two filled welds as shown in figure. A vertical load of $\text{2 kN}$ acts at free end o...

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gatecse asked Feb 22, 2021