Most answered questions / GO Mechanical

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GATE2016-3-47
In the vapour compression cycle shown in the figure, the evaporating and condensing temperatures are $260 \: K$ and $310 \: K$, respectively. The compressor takes in liquid-vapour mixture (state $1$) and isentropically compresses it to a dry saturated vapour condition (state ... $1$ and $0$ (in $kJ/kg$) is ____________

In the vapour compression cycle shown in the figure, the evaporating and condensing temperatures are $260 \: K$ and $310 \: K$, respectively. The compressor takes in liqu...

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GATE2016-3-46
In a $3$-stage air compressor, the inlet pressure is $p_1$, discharge pressure is $p_4$.and the intermediate pressures are $p_2$ and $p_3 ( p_2 < p_3)$. The total pressure ratio of the compressor is $10$ and the pressure ratios of the stages are equal. If $p_1 = 100$ $kPa$, the value of the pressure $p_3$ (in $kPa$) is __________

In a $3$-stage air compressor, the inlet pressure is $p_1$, discharge pressure is $p_4$.and the intermediate pressures are $p_2$ and $p_3 ( p_2 < p_3)$. The total pressur...

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GATE2016-3-45
In a mixture of dry air and water vapor at a total pressure of $750$ $mm$ of $Hg$, the partial pressure of water vapor is $20$ $mm$ of $Hg$. The humidity ratio of the air in grams of water vapor per $kg$ of dry air ($g_w/kg_{da}$) is __________

In a mixture of dry air and water vapor at a total pressure of $750$ $mm$ of $Hg$, the partial pressure of water vapor is $20$ $mm$ of $Hg$. The humidity ratio of the air...

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GATE2016-3-44
Steam at an initial enthalpy of $100$ $kJ/kg$ and inlet velocity of $100$ $m/s$, enters an insulated horizontal nozzle. It leaves the nozzle at $200$ $m/s$. The exit enthalpy (in $kJ/kg$) is __________

Steam at an initial enthalpy of $100$ $kJ/kg$ and inlet velocity of $100$ $m/s$, enters an insulated horizontal nozzle. It leaves the nozzle at $200$ $m/s$. The exit enth...

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GATE2016-3-43
A cylindrical steel rod, $0.01 \: m$ in diameter and $0.2 \: m$ in length is first heated to $750^ \circ C$ and then immersed in a water bath at $100^ \circ C$. The heat transfer coefficient is $250 \: W/m^2-K$. The density, specific heat and thermal ... $k=43 \: W/m-K$, respectively. The time required for the rod to reach $300^ \circ C$ is ________ seconds.

A cylindrical steel rod, $0.01 \: m$ in diameter and $0.2 \: m$ in length is first heated to $750^ \circ C$ and then immersed in a water bath at $100^ \circ C$. The heat ...

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GATE2016-3-42
Two large parallel plates having a gap of $10 \: mm$ in between them are maintained at temperatures $T_1 = 1000 \: K$ and $T_2 = 400 \: K$. Given emissivity values, $\epsilon _1 = 0.5$, $\epsilon _2=0.25$ and Stefan-Boltzmann constant $\sigma =5.67 \times 10^{−8} \: W/m^2-K^4$, the heat transfer between the plates (in $kW/m^2$) is __________

Two large parallel plates having a gap of $10 \: mm$ in between them are maintained at temperatures $T_1 = 1000 \: K$ and $T_2 = 400 \: K$. Given emissivity values, $\ep...

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GATE2016-3-41
For a two-dimensional flow, the velocity field is $\overrightarrow{u}=\dfrac{x}{x^2+y^2}\hat{i}+\dfrac{y}{x^2+y^2}\hat{j}$ where$\hat{i}$ and $\hat{j}$ are the basis vectors in the $x-y$ Cartesian coordinate system. Identify the CORRECT statements from below. The flow is incompressible. The flow is ... $(2)$ and $(3)$ $(1)$ and $(3)$ $(1)$ and $(2)$ $(3)$ and $(4)$

For a two-dimensional flow, the velocity field is $\overrightarrow{u}=\dfrac{x}{x^2+y^2}\hat{i}+\dfrac{y}{x^2+y^2}\hat{j}$ where$\hat{i}$ and $\hat{j}$ are the basis vec...

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GATE2016-3-40
The water jet exiting from a stationary tank through a circular opening of diameter $300 \: mm$ impinges on a rigid wall as shown in the figure. Neglect all minor losses and assume the water level in the tank to remain constant. The net horizontal force experienced by the wall is ___________ $kN$. Density of water is $1000 \: kg/m^3$. Acceleration due to gravity $g=10 \: m/s^2$.

The water jet exiting from a stationary tank through a circular opening of diameter $300 \: mm$ impinges on a rigid wall as shown in the figure. Neglect all minor losses ...

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GATE2016-3-39
Consider a fully developed steady laminar flow of an incompressible fluid with viscosity $μ$ through a circular pipe of radius $R$. Given that the velocity at a radial location of $R/2$ from the centerline of the pipe is $U_1$, the shear stress at the wall is $KμU_1$/$R$, where $K$ is __________

Consider a fully developed steady laminar flow of an incompressible fluid with viscosity $μ$ through a circular pipe of radius $R$. Given that the velocity at a radial l...

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GATE2016-3-38
A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $25$ $mm^2$. A torque $T$ = $200N-m$ is acting on the joint. Neglecting friction due to clamping force, maximum shear stress in a bolt is ______ $MPa$.

A bolted joint has four bolts arranged as shown in figure. The cross sectional area of each bolt is $25$ $mm^2$. A torque $T$ = $200N-m$ is acting on the joint. Neglectin...

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GATE2016-3-37
A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of $\sqrt{\dfrac{3k}{m}}$, the ratio of the amplitude of steady state response to the static deflection of the spring is __________

A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of $\sqrt{\dfrac{3k}{m}}$, the ratio of ...

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GATE2016-3-36
Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses $m_1$ is attached to the opposite sides of the shaft in the vertical plane as shown in figure. Consider $m=1 \: kg$, $e=50 \: mm$, $e_1=20 \: mm$ ... $a=2 \: m$ and $a_1 = 2.5 \: m$. For the system to be dynamically balanced, $m_1$ should be ________ $kg$.

Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses $m_1$ is attached to the opposite sides of the s...

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GATE2016-3-35
A beam of length $L$ is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is $EI$. The reaction at the simple support at the right end is $\dfrac{wL}{2} \\$ $\dfrac{3wL}{8} \\$ $\dfrac{wL}{4} \\$ $\dfrac{wL}{8}$

A beam of length $L$ is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is $EI$. The reaction at the simple support at the righ...

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GATE2016-3-34
Two circular shafts made of same material, one solid (S) and one hollow (H), have the same length and polar moment of inertia. Both are subjected to same torque. Here, $\theta _S$ is the twist and $\tau _S$ ... $\theta _S<\theta _H$ and $\tau _S<\tau _H$ $\theta _S=\theta _H$ and $\tau _S<\tau _H$

Two circular shafts made of same material, one solid (S) and one hollow (H), have the same length and polar moment of inertia. Both are subjected to same torque. Here, $\...

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GATE2016-3-33
A square plate of dimension $L \times L$ is subjected to a uniform pressure load $p=250 \: MPa$ on its edges as shown in the figure. Assume plane stress conditions. The Young’s modulus $E=200 \: GPa$ .The deformed shape is a square of dimension $L− 2\delta$. If $L = 2 \: m$ and $\delta=0.001 \: m$, the Poisson’s ratio of the plate material is __________

A square plate of dimension $L \times L$ is subjected to a uniform pressure load $p=250 \: MPa$ on its edges as shown in the figure. Assume plane stress conditions. The Y...

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GATE2016-3-32
A rigid rod $(AB)$ of length $L=\sqrt{2} \: m$ is undergoing translational as well as rotational motion in the $x-y$ plane (see the figure). The point $A$ has the velocity $V_1=\hat{i}+2\hat{j} \: m/s$. The end B is constrained to move only along the $x$ direction. The magnitude of the velocity $V_2$ (in $m/s$) at the end B is __________

A rigid rod $(AB)$ of length $L=\sqrt{2} \: m$ is undergoing translational as well as rotational motion in the $x-y$ plane (see the figure). The point $A$ has the velocit...

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GATE2016-3-31
A circular disc of radius $100 \: mm$ and mass $1 \: kg$, initially at rest at position $A$, rolls without slipping down a curved path as shown in figure. The speed $v$ of the disc when it reaches position $B$ is _________ $m/s$. Acceleration due to gravity $g = 10 \: m/s^2$.

A circular disc of radius $100 \: mm$ and mass $1 \: kg$, initially at rest at position $A$, rolls without slipping down a curved path as shown in figure. The speed $v$ o...

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GATE2016-3-30
An inextensible massless string goes over a frictionless pulley. Two weights of $100$ $N$ and $200$ $N$ are attached to the two ends of the string. The weights are released from rest, and start moving due to gravity. The tension in the string (in $N$) is __________

An inextensible massless string goes over a frictionless pulley. Two weights of $100$ $N$ and $200$ $N$ are attached to the two ends of the string. The weights are releas...

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GATE2016-3-29
Three cards were drawn from a pack of $52$ cards. The probability that they are a king, a queen, and a jack is $\dfrac{16}{5525} \\$ $\dfrac{64}{2197} \\$ $\dfrac{3}{13} \\$ $\dfrac{8}{16575}$

Three cards were drawn from a pack of $52$ cards. The probability that they are a king, a queen, and a jack is$\dfrac{16}{5525} \\$$\dfrac{64}{2197} \\$$\dfrac{3}{13} \\$...

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GATE2016-3-28
$\displaystyle{}\lim_{x\rightarrow \infty }\sqrt{x^2+x-1}-x$ is $0$ $\infty$ $1/2$ $-\infty$

$\displaystyle{}\lim_{x\rightarrow \infty }\sqrt{x^2+x-1}-x$ is$0$$\infty$$1/2$$-\infty$

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GATE2016-3-27
The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________ Here, $\overline{F}(x,y)=y\hat{i}+2x\hat{j}$ ... $x-y$ Cartesian reference. In evaluating the line integral, the curve has to be traversed in the counter-clockwise direction.

The value of the line integral $\oint_{c}^{ }\overline{F}.{\overline{r}}'ds$ ,where $C$ is a circle of radius $\dfrac{4}{\sqrt{\pi }}$ units is ________Here, $\overline{F...

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GATE2016-3-26
The number of linearly independent eigenvectors of matrix $A=\begin{bmatrix} 2 & 1 & 0\\ 0 &2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ is _________

The number of linearly independent eigenvectors of matrix $A=\begin{bmatrix} 2 & 1 & 0\\ 0 &2 &0 \\ 0 & 0 & 3 \end{bmatrix}$ is _________

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GATE2016-3-25
In PERT chart, the activity time distribution is Normal Binomial Poisson Beta

In PERT chart, the activity time distribution isNormalBinomialPoissonBeta

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GATE2016-3-24
Match the following part programming codes with their respective functions: ... $P - IV, Q - III, R - II, S - I$ $P - III, Q - IV, R - II, S - I$

Match the following part programming codes with their respective functions:$\begin{array}{|l|l|l|l|} \hline & \textbf{Part Programming Codes} && \textbf{Functions} \\ \hl...

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GATE2016-3-23
Internal gears are manufactured by hobbing shaping with pinion cutter shaping with rack cutter milling

Internal gears are manufactured byhobbingshaping with pinion cuttershaping with rack cuttermilling

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GATE2016-3-22
In a wire-cut EDM process the necessary conditions that have to be met for making a successful cut are that wire and sample are electrically non-conducting wire and sample are electrically conducting wire is electrically conducting and sample is electrically non-conducting sample is electrically conducting and wire is electrically non-conducting

In a wire-cut EDM process the necessary conditions that have to be met for making a successful cut are thatwire and sample are electrically non-conductingwire and sample ...

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GATE2016-3-21
Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm diameter. The size of the moulds are such that the outside temperature of the moulds do ... , respectively.) Copper - Steel - Aluminum Aluminum - Steel - Copper Copper - Aluminum - Steel Steel - Copper - Aluminum

Equal amounts of a liquid metal at the same temperature are poured into three moulds made of steel, copper and aluminum. The shape of the cavity is a cylinder with 15 mm ...

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GATE2016-3-20
Engineering strain of a mild steel sample is recorded as $0.100\%$. The true strain is $0.010\%$ $0.055\%$ $0.099\%$ $0.101\%$

Engineering strain of a mild steel sample is recorded as $0.100\%$. The true strain is$0.010\%$$0.055\%$$0.099\%$$0.101\%$

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GATE2016-3-19
The blade and fluid velocities for an axial turbine are as shown in the figure. The magnitude of absolute velocity at entry is $300$ $m/s$ at an angle of $65^\circ$ to the axial direction, while the magnitude of the absolute velocity at exit is ... downward direction. Given that the axial (horizontal) velocity is the same at entry and exit, the specific work (in $kJ/kg$) is__________

The blade and fluid velocities for an axial turbine are as shown in the figure.The magnitude of absolute velocity at entry is $300$ $m/s$ at an angle of $65^\circ$ to the...

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GATE2016-3-18
For a heat exchanger, $\triangle T_{\text{max}}$ is the maximum temperature difference and $\triangle T_{\text{min}}$ is the minimum temperature difference between the two fluids. LMTD is the log mean temperature difference. $C_{\text{min}}$ and $C_{\text{max}}$ are the minimum ... $C_{\text{max}} \triangle T_{\text{max}}$ $C_{\text{max}} \triangle T_{\text{min}}$

For a heat exchanger, $\triangle T_{\text{max}}$ is the maximum temperature difference and $\triangle T_{\text{min}}$ is the minimum temperature difference between the tw...

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GATE2016-3-17
The INCORRECT statement about the characteristics of critical point of a pure substance is that there is no constant temperature vaporization process it has point of inflection with zero slope the ice directly converts from solid phase to vapor phase saturated liquid and saturated vapor states are identical

The INCORRECT statement about the characteristics of critical point of a pure substance is thatthere is no constant temperature vaporization processit has point of inflec...

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GATE2016-3-16
Grashof number signifies the ratio of inertia force to viscous force buoyancy force to viscous force buoyancy force to inertia force inertia force to surface tension force

Grashof number signifies the ratio ofinertia force to viscous forcebuoyancy force to viscous forcebuoyancy force to inertia forceinertia force to surface tension force

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GATE2016-3-15
Steady one-dimensional heat conduction takes place across the faces $1$ and $3$ of a composite slab consisting of slabs $A$ and $B$ in perfect contact as shown in the figure, where $k_A$ , $k_B$ denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature $T_2$ (in $^\circ C$) is __________

Steady one-dimensional heat conduction takes place across the faces $1$ and $3$ of a composite slab consisting of slabs $A$ and $B$ in perfect contact as shown in the fig...

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GATE2016-3-14
For a certain two-dimensional incompressible flow, velocity field is given by $2xy\hat{i}-y^2\hat{j}$ . The streamlines for this flow are given by the family of curves $x^2y^2 = \text{constant}$ $xy^2 = \text{constant}$ $2xy − y^2 \text{constant}$ $xy = \text{constant}$

For a certain two-dimensional incompressible flow, velocity field is given by $2xy\hat{i}-y^2\hat{j}$ . The streamlines for this flow are given by the family of curves$...

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GATE2016-3-13
A channel of width $450$ $mm$ branches into two sub-channels having width $300$ $mm$ and $200$ $mm$ as shown in figure. If the volumetric flow rate (taking unit depth) of an incompressible flow through the main channel is $0.9$ $m^3/s$ and the velocity ... velocity in the sub-channel of width $300$ $mm$ is _____________ $m/s$. Assume both inlet and outlet to be at the same elevation.

A channel of width $450$ $mm$ branches into two sub-channels having width $300$ $mm$ and $200$ $mm$ as shown in figure. If the volumetric flow rate (taking unit depth) of...

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GATE2016-3-12
Which of the bearings given below SHOULD NOT be subjected to a thrust load? Deep groove ball bearing Angular contact ball bearing Cylindrical (straight) roller bearing Single row tapered roller bearing

Which of the bearings given below SHOULD NOT be subjected to a thrust load?Deep groove ball bearingAngular contact ball bearingCylindrical (straight) roller bearingSingle...

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GATE2016-3-11
The static deflection of a spring under gravity, when a mass of $1 \:kg$ is suspended from it, is $1 \: mm$. Assume the acceleration due to gravity $g =10 \: m/s^2$. The natural frequency of this spring-mass system (in $rad/s$) is_____________

The static deflection of a spring under gravity, when a mass of $1 \:kg$ is suspended from it, is $1 \: mm$. Assume the acceleration due to gravity $g =10 \: m/s^2$. The ...

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GATE2016-3-10
The number of degrees of freedom in a planar mechanism having n links and j simple hinge joints is $3 ( n− 3) − 2j$ $3(n − 1) − 2j$ $3n − 2j$ $2j − 3n + 4$

The number of degrees of freedom in a planar mechanism having n links and j simple hinge joints is$3 ( n− 3) − 2j$$3(n − 1) − 2j$$3n − 2j$$2j − 3n + 4$

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GATE2016-3-9
A rigid link $PQ$ is undergoing plane motion as shown in the figure ($V_P$ and $V_Q$ are non-zero). $V_{QP}$ is the relative velocity of point $Q$ with respect to point $P$. Which one of the following is TRUE? $V_{QP}$ ... $Q$ $V_{QP}$ has only one component directed from $Q$ to $P$ $V_{QP}$ has only one component perpendicular to $PQ$

A rigid link $PQ$ is undergoing plane motion as shown in the figure ($V_P$ and $V_Q$ are non-zero). $V_{QP}$ is the relative velocity of point $Q$ with respect to point $...

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GATE2016-3-8
T he state of stress at a point on an element is shown in figure (a). The same state of stress is shown in another coordinate system in figure (b). The components $(\tau _{xx},\tau_{yy},\tau _{xy})$ are given by $(p/\sqrt{2},-p/\sqrt{2},0)$ $(0,0,p)$ $(p,-p,p/\sqrt{2})$ $(0,0,p/\sqrt{2})$

T he state of stress at a point on an element is shown in figure (a). The same state of stress is shown in another coordinate system in figure (b).The components $(\tau _...

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