Recent questions tagged gateme-2013

Two cutting tools are being compared for a machining operation. The tool life equations are:$\begin{array}{ll} \text{Carbide tool:} & VT^{1.6} = 3000 \\ \text{HSS tool:} ...

A pin jointed uniform rigid rod of weight $W$ and length $L$ is supported horizontally by an external force $F$ as shown in the figure below. The force $F$ is suddenly re...

A compound gear train with gears $P$, $Q$, $R$ and $S$ has number of teeth $20$, $40$, $15$ and $20$, respectively. Gears $Q$ and $R$ are mounted on the same shaft as sho...

A flywheel connected to a punching machine has to supply energy of $400 Nm$ while running at a mean angular speed of $20 rad/s$. If the total fluctuation of speed is not ...

The function $f(t)$ satisfies the differential equation $\dfrac{d^2f}{dt^2}+f=0$ and the auxiliary conditions, $f(0)=0$, $\dfrac{d(f)}{d(t)}(0)=4$. The Laplace transform ...

The following surface integral is to be evaluated over a sphere for the given steady velocity vector field $F$ = $xi$ + $yj$+ $zk$ defined with respect to a Cartesian coo...

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 ...

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...

A steel ball of diameter $60$ $mm$ is initially in thermal equilibrium at $1030^0C$ in a furnace. It is suddenly removed from the furnace and cooled in ambient air at $30...

Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is $20$ $mm$ with uniform velocity of $2$ $m/s$. Acceleration due t...

Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below:$\begin{array}{ccc} & \underline{Specific \: ...

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...

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 $rpm$...

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...

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...

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...

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...

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$

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...

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 ...

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...

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 $1$ $...

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...

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

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

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...

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...

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...

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...

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...