Recent questions tagged gateme-2012 / GO Mechanical

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GATE ME 2012 | Question: 26
The homogeneous state of stress for a metal part undergoing plastic deformation is $T = \begin{pmatrix} 10 & 5 & 0 \\ 5 & 20 & 0 \\ 0 & 0 & -10 \end{pmatrix}$ where the stress component values are in MPa. Using von Mises yield criterion, the value of estimated shear yield stress, in MPa is 9.50 16.07 28.52 49.41

The homogeneous state of stress for a metal part undergoing plastic deformation is $$T = \begin{pmatrix} 10 & 5 & 0 \\ 5 & 20 & 0 \\ 0 & 0 & -10 \end{pmatrix}$$ where the...

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GATE ME 2012 | Question: 23
For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is $1$ $2$ $4$ $8$

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is$1$$2$$4$$...

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GATE ME 2012 | Question: 22
A cantilever beam of length $L$ is subjected to a moment $M$ at the free end. The moment of inertia of the beam cross section about the neutral axis is $I$ and the Young's modulus is $E$. The magnitude of the maximum deflection is $\dfrac{ML^2}{2EI} \\$ $\dfrac{ML^2}{EI} \\$ $\dfrac{2ML^2}{EI} \\$ $\dfrac{4ML^2}{EI}$

A cantilever beam of length $L$ is subjected to a moment $M$ at the free end. The moment of inertia of the beam cross section about the neutral axis is $I$ and the Young'...

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GATE ME 2012 | Question: 21
A circular solid disc of uniform thickness of $20$ mm, radius $200$ mm and mass $20$ kg, is used as a flywheel. If it rotates at $600$ rpm, the kinetic energy of the flywheel, in $\textit{Joules}$ is $395$ $790$ $1580$ $3160$

A circular solid disc of uniform thickness of $20$ mm, radius $200$ mm and mass $20$ kg, is used as a flywheel. If it rotates at $600$ rpm, the kinetic energy of the flyw...

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GATE ME 2012 | Question: 20
In the mechanism given below, if the angular velocity of the eccentric circular disc is $1$ rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is $0.05$ $0.1$ $5.0$ $10.0$

In the mechanism given below, if the angular velocity of the eccentric circular disc is $1$ rad/s, the angular velocity (rad/s) of the follower link for the instant shown...

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GATE ME 2012 | Question: 19
An ideal gas of mass $m$ and temperature $T_1$ undergoes a reversible isothermal process from an initial pressure $P_1$ to final pressure $P_2$. The hear loss during the process is $Q$. The entropy change $\Delta S$ ... $mR \: \ln \bigg( \dfrac{P_2}{P_1} \bigg) - \dfrac{Q}{T_1} \\$ $\text{zero}$

An ideal gas of mass $m$ and temperature $T_1$ undergoes a reversible isothermal process from an initial pressure $P_1$ to final pressure $P_2$. The hear loss during the ...

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GATE ME 2012 | Question: 18
Which one of the following configurations has the highest fin effectiveness? Thin, closely spaced fins Thin, widely spaced fins Thick, widely spaced fins Thick, closely spaced fins

Which one of the following configurations has the highest fin effectiveness?Thin, closely spaced finsThin, widely spaced finsThick, widely spaced finsThick, closely space...

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GATE ME 2012 | Question: 17
The velocity triangles at the inlet and exit of the rotor of a turbomachine are shown. $V$ denotes the absolute velocity of the fluid, $W$ denotes the relative velocity of the fluid and $U$ denotes the blade velocity. Subscripts $1$ and $2$ refer to inlet and outlet respectively. If $V_2 =W_1$ and $V_1=W_2$, then the degree of reaction is $0$ $1$ $0.5$ $0.25$

The velocity triangles at the inlet and exit of the rotor of a turbomachine are shown. $V$ denotes the absolute velocity of the fluid, $W$ denotes the relative velocity o...

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GATE ME 2012 | Question: 16
A solid cylinder of diameter $100$ mm and height $50$ mm is forged between two frictionless flat dies to a height of $25$ mm. The percentage change in diameter is $0$ $2.07$ $20.7$ $41.4$

A solid cylinder of diameter $100$ mm and height $50$ mm is forged between two frictionless flat dies to a height of $25$ mm. The percentage change in diameter is$0$$2.07...

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GATE ME 2012 | Question: 15
A CNC vertical milling machine has to cut a straight slot of $10$ mm width and $2$ mm depth by a cutter of $10$ mm diameter between points $(0,0)$ and $(100,100)$ on the XY plane (dimensions in mm). The feed rate used for milling is $50$ mm/min, Milling time for the slot ( in seconds) is $120$ $170$ $180$ $240$

A CNC vertical milling machine has to cut a straight slot of $10$ mm width and $2$ mm depth by a cutter of $10$ mm diameter between points $(0,0)$ and $(100,100)$ on the ...

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GATE ME 2012 | Question: 12
Consider the function $f(x) = \mid x \mid $ in the interval $-1 \leq x \leq 1$. At the point $x=0, \: f(x)$ is continuous and differentiable non-continuous and differentiable continuous and non-differentiable neither continuous nor differentiable

Consider the function $f(x) = \mid x \mid $ in the interval $-1 \leq x \leq 1$. At the point $x=0, \: f(x)$ iscontinuous and differentiablenon-continuous and differentiab...

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GATE ME 2012 | Question: 12
$\underset{x \rightarrow 0}{\lim} \bigg( \dfrac{1- \cos x}{x^2} \bigg)$ is $1/4$ $1/2$ $1$ $2$

$\underset{x \rightarrow 0}{\lim} \bigg( \dfrac{1- \cos x}{x^2} \bigg)$ is$1/4$$1/2$$1$$2$

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GATE ME 2012 | Question: 11
The area enclosed between the straight line $y=x$ and the parabola $y=x^2$ in the $x-y$ plane is $1/6$ $1/4$ $1/3$ $1/2$

The area enclosed between the straight line $y=x$ and the parabola $y=x^2$ in the $x-y$ plane is$1/6$$1/4$$1/3$$1/2$

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GATE ME 2012 | Question: 13
Which one of the following is NOT a decision taken during the aggregate production planning stage? Scheduling of machines Amount of labour to be committed Rate at which production should happen Inventory to be carried forward

Which one of the following is NOT a decision taken during the aggregate production planning stage?Scheduling of machinesAmount of labour to be committedRate at which prod...

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GATE ME 2012 | Question: 10
A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by $1 \%$ and the thickness is reduced by $1 \%$ with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is $0$ $1$ $1.08$ $2.02$

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by $1 \%$ and the thickness is reduced by $1 \%$ with the inte...

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GATE ME 2012 | Question: 9
A solid disc of radius $r$ rolls without slipping on a horizontal floor with angular velocity $\omega$ and angular acceleration $\alpha$. The magnitude of the acceleration of the point of contract on the disc is $zero$ $r \alpha$ $\sqrt{(r \alpha)^2 + (r \omega^2)^2}$ $r \omega^2$

A solid disc of radius $r$ rolls without slipping on a horizontal floor with angular velocity $\omega$ and angular acceleration $\alpha$. The magnitude of the acceleratio...

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GATE ME 2012 | Question: 8
The following are the data for the two crossed helical gears used for speed reduction: Gear I: Pitch circle diameter in the plane of rotation $80$ mm and helix angle $30^{\circ}$ Gear II: Pitch circle diameter in the plane of rotation $120$ mm and helix angle $22.5^{\circ}$ If the input speed is $1440$ rpm, the output speed in rpm is $1200$ $900$ $875$ $720$

The following are the data for the two crossed helical gears used for speed reduction:Gear I: Pitch circle diameter in the plane of rotation $80$ mm and helix angle $30^{...

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GATE ME 2012 | Question: 7
Steam enters an adiabatic turbine operating at steady state with an enthalpy of $3251.0 \: kJ/kg$ and leaves as a saturated mixture at $15 \:kPa$ with quality (dryness fraction) $0.9$. The enthalpies of the saturated liquid and vapor at $15 \: kPa$ ... and potential energy changes are negligible. The power output of the turbine in MW is $6.5$ $8.9$ $9.1$ $27.0$

Steam enters an adiabatic turbine operating at steady state with an enthalpy of $3251.0 \: kJ/kg$ and leaves as a saturated mixture at $15 \:kPa$ with quality (dryness fr...

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GATE ME 2012 | Question: 6
For an opaque surface, the absorptivity ($\alpha$), transmissivity ($\tau$) and reflectivity ($\rho$) are related by the equation $\alpha + \rho = \tau$ $\rho + \alpha + \tau =0$ $\alpha + \rho =1$ $\alpha + \rho =0$

For an opaque surface, the absorptivity ($\alpha$), transmissivity ($\tau$) and reflectivity ($\rho$) are related by the equation$\alpha + \rho = \tau$$\rho + \alpha + \t...

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GATE ME 2012 | Question: 5
Oil flows through a $200$ mm diameter horizontal cast iron pipe (friction factor, $f=0.0225$) of length $500 m$. The volumetric flow rate is $0.2 \: m^3/s$. The head loss (in m) due to friction is (assume $g=9.81 m/s^2$) $116.18$ $0.116$ $18.22$ $232.36$

Oil flows through a $200$ mm diameter horizontal cast iron pipe (friction factor, $f=0.0225$) of length $500 m$. The volumetric flow rate is $0.2 \: m^3/s$. The head loss...

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GATE ME 2012 | Question: 4
During $\textit{normalizing} $ process of steel, the specimen is heated between the upper and lower critical temperature and cooled in still air above the upper critical temperature and cooled in furnace above the upper critical temperature and cooled in still air between the upper and lower critical temperature and cooled in furnace

During $\textit{normalizing} $ process of steel, the specimen is heatedbetween the upper and lower critical temperature and cooled in still airabove the upper critical te...

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GATE ME 2012 | Question: 3
In an interchangeable assembly, shafts of size $25.000^{+0.040 \\ -0.010} \: mm$ mate with holes of size $25.000^{+0.030 \\ +0.020} \: mm$. The maximum interface (in microns) in the assembly is $40$ $30$ $20$ $10$

In an interchangeable assembly, shafts of size $25.000^{+0.040 \\ -0.010} \: mm$ mate with holes of size $25.000^{+0.030 \\ +0.020} \: mm$. The maximum interface (in micr...

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GATE ME 2012 | Question: 2
Match the following metal forming process with their associated stresses in the workpiece. ... $1-S; 2-P; 3-R; 4-Q$ $1-P; 2-Q; 3-S; 4-R$ $1-P; 2-R; 3-Q; 4-S$

Match the following metal forming process with their associated stresses in the workpiece.$\begin{array}{llll} {} & \textbf{Metal forming process} & {} & \textbf{Type of ...

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GATE ME 2012 | Question: 1
In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate increases continuously decreases continuously decreases, becomes stable and then increases increases, becomes stable and then decreases

In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rateincreases continuouslydecreases continuouslydec...

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