Questions by piyag476 / GO Mechanical

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GATE ME 2013 | Question: 25
Choose the CORRECT set of functions, which are linearly dependent. $\sin x , \sin^2 x$ and $\cos^2 x$ $\cos x , \sin x$ and $\tan x$ $\cos 2x, \sin^2 x$ and $\cos^2 x$ $\cos 2x , \sin x$ and $cos x$

Choose the CORRECT set of functions, which are linearly dependent.$\sin x , \sin^2 x$ and $\cos^2 x$$\cos x , \sin x$ and $\tan x$$\cos 2x, \sin^2 x$ and $\cos^2 x$$\cos ...

asked Feb 19, 2017

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GATE ME 2013 | Question: 24
Let $X$ be a normal random variable with mean $1$ and variance $4$. The probability $P \left \{ X \right.<\left. 0 \right \}$ is $0.5$ greater than zero and less than $0.5$ greater than $0.5$ and less than $1.0$ $1.0$

Let $X$ be a normal random variable with mean $1$ and variance $4$. The probability $P \left \{ X \right.<\left. 0 \right \}$ is$0.5$greater than zero and less than $0.5...

asked Feb 19, 2017

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GATE ME 2013 | Question: 23
A planar closed kinematic chain is formed with rigid links $PQ$ = $2.0$ $m$, $QR$ = $3.0$ $m$, $RS$ = $2.5$ $m$ and $SP$ = $2.7$ $m$ with all revolute joints. The link to be fixed to obtain a double rocker (rockerrocker) mechanism is $PQ$ $QR$ $RS$ $SP$

A planar closed kinematic chain is formed with rigid links $PQ$ = $2.0$ $m$, $QR$ = $3.0$ $m$, $RS$ = $2.5$ $m$ and $SP$ = $2.7$ $m$ with all revolute joints. The link to...

asked Feb 19, 2017

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GATE ME 2013 | Question: 22
If two nodes are observed at a frequency of $1800$ $rpm$ during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in $rpm$ is $200$ $450$ $600$ $900$

If two nodes are observed at a frequency of $1800$ $rpm$ during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in $rpm$...

asked Feb 19, 2017

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GATE ME 2013 | Question: 21
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is $0.5$ $1.0$ $2.0$ $4.0$

A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal...

asked Feb 19, 2017

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GATE ME 2013 | Question: 20
A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $bar$. The work in $kJ$ required for this process is $804.7$ $953.2$ $981.7$ $1012.2$

A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $ba...

asked Feb 19, 2017

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GATE ME 2013 | Question: 19
Consider one-dimensional steady state heat conduction along $x$-axis ($0 \leq x \leq L$), through a planewall with the boundary surfaces ($x = 0$ and $x = L$) maintained at temperatures of $0^{\circ} C$ and $100^{\circ}C$. ... . The temperature distribution is linear within the wall. The temperature distribution is symmetric about the mid-plane of the wall.

Consider one-dimensional steady state heat conduction along $x$-axis ($0 \leq x \leq L$), through a planewall with the boundary surfaces ($x = 0$ and $x = L$) maintained...

asked Feb 19, 2017

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GATE ME 2013 | Question: 18
In order to have maximum power from a Pelton turbine, the bucket speed must be equal to the jet speed. equal to half of the jet speed. equal to twice the jet speed. independent of the jet speed.

In order to have maximum power from a Pelton turbine, the bucket speed must beequal to the jet speed.equal to half of the jet speed.equal to twice the jet speed.independe...

asked Feb 19, 2017

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GATE ME 2013 | Question: 17
For a ductile material, toughness is a measure of resistance to scratching ability to absorb energy up to fracture ability to absorb energy till elastic limit resistance to indentation

For a ductile material, toughness is a measure ofresistance to scratchingability to absorb energy up to fractureability to absorb energy till elastic limitresistance to i...

asked Feb 19, 2017

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GATE ME 2013 | Question: 16
A cube shaped casting solidifies in $5$ $min$. The solidification time in min for a cube of the same material, which is $8$ times heavier than the original casting, will be $10$ $20$ $24$ $40$

A cube shaped casting solidifies in $5$ $min$. The solidification time in min for a cube of the same material, which is $8$ times heavier than the original casting, will ...

asked Feb 19, 2017

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GATE ME 2013 | Question: 15
A steel bar $200$ $mm$ in diameter is turned at a feed of $0.25$ $mm$/$rev$ with a depth of cut of $4$ $mm$. The rotational speed of the workpiece is $160$ $rpm$. The material removal rate in $mm^3$/$s$ is $160$ $167.6$ $1600$ $1675.5$

A steel bar $200$ $mm$ in diameter is turned at a feed of $0.25$ $mm$/$rev$ with a depth of cut of $4$ $mm$. The rotational speed of the workpiece is $160$ $rpm$. The mat...

asked Feb 19, 2017

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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$

asked Feb 19, 2017

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GATE ME 2013 | Question: 13
Customers arrive at a ticket counter at a rate of $50$ per $hr$ and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is $1$ $min$. Assuming that customer arrivals form a Poisson process and service times are exponentially distributed, the average waiting time in queue in $min$ is $3$ $4$ $5$ $6$

Customers arrive at a ticket counter at a rate of $50$ per $hr$ and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is $1$ $...

asked Feb 19, 2017

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GATE ME 2013 | Question: 12
A metric thread of pitch $2$ $mm$ and thread angle $60^{\circ}$ is inspected for its pitch diameter using $3$-wire method. The diameter of the best size wire in $mm$ is $0.866$ $1.000$ $1.154$ $2.000$

A metric thread of pitch $2$ $mm$ and thread angle $60^{\circ}$ is inspected for its pitch diameter using $3$-wire method. The diameter of the best size wire in $mm$ is$0...

asked Feb 19, 2017

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GATE ME 2013 | Question: 11
Match the CORRECT pairs: ... $P-4; Q-2; R-3; S-1$ $P-2; Q-3; R-4; S-1$ $P-2; Q-4; R-1; S-3$

Match the CORRECT pairs:$\begin{array}{llll} & \text{Process} & & \text{Characteristics/Applications} \\ P. & \text{Friction Welding} & 1. & \text{Non-consumable electrod...

asked Feb 19, 2017

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GATE ME 2013 | Question: 10
In a rolling process, the state of stress of the material undergoing deformation is pure compression pure shear compression and shear tension and shear

In a rolling process, the state of stress of the material undergoing deformation ispure compressionpure shearcompression and sheartension and shear

asked Feb 19, 2017

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GATE ME 2013 | Question: 9
Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity of the wall is given by $k$ = $k_0$ + $bT$ ; where $k_0$ and $b$ are positive ... $x$ increases, the temperature gradient ( $dT$/ $dx$ ) will remain constant be zero increase decrease

Consider one-dimensional steady state heat conduction, without heat generation, in a plane wall; with boundary conditions as shown in the figure below. The conductivity o...

asked Feb 19, 2017

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GATE ME 2013 | Question: 8
The pressure, dry bulb temperature and relative humidity of air in a room are $1$ bar, $30^{\circ} C$ and $70\%$, respectively. If the saturated steam pressure at $30^{\circ} C$ is $4.25$ $kPa$, the specific humidity of the room air in $kg$ water $\text{vapour/kg}$ dry air is $0.0083$ $0.0101$ $0.0191$ $0.0232$

The pressure, dry bulb temperature and relative humidity of air in a room are $1$ bar, $30^{\circ} C$ and $70\%$, respectively. If the saturated steam pressure at $30^{\c...

asked Feb 19, 2017

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GATE ME 2013 | Question: 7
For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear stress $\tau _\omega$ are related by $\tau _\omega =\dfrac{\Delta pD}{4L} \\$ $\tau _\omega =\dfrac{\Delta pD^2}{4L^2} \\$ $\tau _\omega =\dfrac{\Delta pD}{2L} \\$ $\tau _\omega =\dfrac{4\Delta p L}{D}$

For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear st...

asked Feb 19, 2017

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GATE ME 2013 | Question: 6
A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of $0.75$ $m$/$s$ with respect to the rod, as shown in the figure below. If $OA$ = $1$ $m$, the magnitude of the absolute acceleration of the block at location $A$ in $m$/$s^2$ is $3$ $4$ $5$ $6$

A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform vel...

asked Feb 19, 2017

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GATE ME 2013 | Question: 5
Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of bolt $B$ and the mean diameter of bolt $A$ is $12$ $mm$, the mean diameter of bolt $B$ in $mm$ is $16$ $24$ $36$ $48$

Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of b...

asked Feb 19, 2017

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GATE ME 2013 | Question: 4
A rod of length $L$ having uniform cross-sectional area $A$ is subjected to a tensile force $P$ as shown in the figure below. If the Young's modulus of the material varies linearly from $E_1$ to $E_2$ along the length of the rod, the normal stress developed at the section-$SS$ ... $\dfrac{P(E_1-E_2)}{A(E_1+E_2)} \\$ $\dfrac{PE_2}{AE_1} \\$ $\dfrac{PE_1}{AE_2}$

A rod of length $L$ having uniform cross-sectional area $A$ is subjected to a tensile force $P$ as shown in the figure below. If the Young’s modulus of the material var...

asked Feb 19, 2017

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GATE ME 2013 | Question: 3
Match the CORRECT pairs: ... $P-2; Q-1; R-3$ $P-3; Q-2; R-1$ $P-1; Q-2; R-3$ $P-3; Q-1; R-2$

Match the CORRECT pairs:$\begin{array}{llll} & \text{Numerical Integration Scheme} & & \text{Order of Fitting Polynomial} \\ P. & \text{Simpson's 3/8 Rule} & 1. & \text{F...

asked Feb 19, 2017

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GATE ME 2013 | Question: 2
The eigen values of a symmetric matrix are all complex with non-zero positive imaginary part. complex with non-zero negative imaginary part. real. pure imaginary.

The eigen values of a symmetric matrix are allcomplex with non-zero positive imaginary part.complex with non-zero negative imaginary part.real.pure imaginary.

asked Feb 19, 2017

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GATE ME 2013 | Question: 1
The partial differential equation $\dfrac{\partial u }{\partial t}+u\dfrac{\partial u}{\partial x}=\dfrac{\partial^2 u}{\partial x^2}$ is a linear equation of order $2$ non-linear equation of order $1$ linear equation of order $1$ non-linear equation of order $2$

The partial differential equation $\dfrac{\partial u }{\partial t}+u\dfrac{\partial u}{\partial x}=\dfrac{\partial^2 u}{\partial x^2}$ is alinear equation of order $2$no...

asked Feb 19, 2017