Recent questions tagged gateme-2014-set4

A single degree of freedom system has a mass of $2$ $kg$, stiffness $8$ $N/m$ and viscous damping ratio $0.02$. The dynamic magnification factor at an excitation frequenc...

Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______

A wardrobe (mass $100$ $kg$, height $4$ $m$, width $2$ $m$, depth $1$ $m$), symmetric about the $Y$-$Y$ axis, stands on a rough level floor as shown in the figure. A forc...

A frame is subjected to a load $P$ as shown in the figure. The frame has a constant flexural rigidity $EI$. The effect of axial load is neglected. The deflection at point...

A bolt of major diameter $12$ $mm$ is required to clamp two steel plates. Cross sectional area of the threaded portion of the bolt is $84.3$ $mm^2$. The length of the thr...

A uniform slender rod ($8$ $m$ length and $3$ $kg$ mass) rotates in a vertical plane about a horizontal axis $1$ $m$ from its end as shown in the figure. The magnitude of...

It is desired to avoid interference in a pair of spur gears having a $20^{\circ}$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth...

For the truss shown in the figure, the forces $F_1$ and $F_2$ are $9$ $kN$ and $3$ $kN$, respectively. The force (in $kN$) in the member QS is$11.25$ tension$11.25$ compr...

A thin gas cylinder with an internal radius of $100$ $mm$ is subject to an internal pressure of $10$ $MPa$. The maximum permissible working stress is restricted to $100$ ...

If $z$ is a complex variable, the value of $\displaystyle{} \int_{5}^{3i}\dfrac{dz}{z}$ is$− 0.511−1.57i$$− 0.511+1.57i$$0.511− 1.57i$$0.511+1.57i$

In a rolling process, the maximum possible draft, defined as the difference between the initial and the final thickness of the metal sheet, mainly depends on which pair o...

Match the heat treatment processes (Group A) and their associated effects on properties (Group B) of medium carbon steel$\begin{array}{|l|l|} \hline \textbf{Group A} & \t...

Better surface finish is obtained with a large rake angle becausethe area of shear plane decreases resulting in the decrease in shear force and cutting forcethe tool beco...

The principle of material removal in Electrochemical machining isFick's lawFaraday's lawsKirchhoff'’s lawsOhm’s law

Two separate slab milling operations, $1$ and $2$, are performed with identical milling cutters. The depth of cut in operation $2$ is twice that in operation $1$. The oth...

Within the Heat Affected Zone (HAZ) in a fusion welding process, the work material undergoesmicrostructural changes but does not meltneither melting nor microstructural c...

Demand during lead time with associated probabilities is shown below:Expected demand during lead time is _______

The total number of decision variables in the objective function of an assignment problem of size $n × n$ ($n$ jobs and $n$ machines) is$n^2$$2n$$2n-1$$n$

Moist air at $35^{\circ} C$ and $100 \%$ relative humidity is entering a psychometric device and leaving at $25^{\circ} C$ and $100\%$ relative humidity. The name of the ...

Kaplan water turbine is commonly used when the flow through its runner isaxial and the head available is more than $100$ $m$axial and the head available is less than $10$...

Match Group A with Group B:$\begin{array}{|l|l|} \hline \textbf{Group A} & \textbf{Group B} \\ \hline \text{P: Biot number} & \text{1: Ratio of buoyancy to viscous force}...

A flow field which has only convective acceleration isa steady uniform flowan unsteady uniform flowa steady non-uniform flowan unsteady non-uniform flow

Laplace transform of $\cos(\omega t)$ is $\dfrac{s}{s^2+\omega ^2}$. The Laplace transform of $e^{-2t} \cos(4t)$ is$\dfrac{s-2}{(s-2)^2+16} \\$$\dfrac{s+2}{(s-2)^2+16} \\...

The solution of the initial value problem $\dfrac{dy}{dx}=-2xy$ ; $y(0)=2$ is$1+e^{{-x}^2}$$2e^{{-x}^2}$$1+e^{{x}^2}$$2e^{{x}^2}$

The value of the integral $$\int_{0}^{2}\dfrac{(x-1)^2\sin(x-1)}{(x-1)^2+\cos(x-1)}dx$$ is$3$$0$$-1$$-2$

A reversed Carnot cycle refrigerator maintains a temperature of −$5^{\circ}$ $C$. The ambient air temperature is $35^{\circ}$ $C$. The heat gained by the refrigerator at ...

As the temperature increases, the thermal conductivity of a gas increasesdecreasesremains constantincreases up to a certain temperature and then decreases

Ball bearings are rated by a manufacturer for a life of $10^6$ revolutions. The catalogue rating of a particular bearing is $16$ $kN$. If the design load is $2$ $kN$, the...

A point mass is executing simple harmonic motion with an amplitude of $10$ $mm$ and frequency of $4$ $Hz$. The maximum acceleration ($m/s^2$) of the mass is _______