Recent questions tagged gateme-2016-set1

A slider crank mechanism with crank radius $200\:mm$ and connecting rod length $800\:mm$ is shown. The crank is rotating at $600\:rpm$ in the counterclockwise direction. ...

A simply-supported beam of length $3L$ is subjected to the loading shown in the figure.It is given that $P=1\: N$, $L=1\:m$ and Young’s modulus $E=200\:GPa$. The cross-se...

A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young’s moduli for the sections $AB$ and $BC$ are $3E$ and $E$, respect...

The “Jominy test” is used to findYoung’s modulushardenabilityyield strengththermal conductivity

Gauss-Seidel method is used to solve the following equations (as per the given order):$x_1+2x_2+3x_3=5$$2x_1+3x_2+x_3=1$$3x_1+2x_2+x_3=3$Assuming initial guess as $x_1=x_...

The value of the integral $$\displaystyle{\int_{-\infty }^{\infty }\frac{\sin x}{x^2+2x+2}}dx$$ evaluated using contour integration and the residue theorem is$\displaysty...

If $y=f(x)$ satisfies the boundary value problem ${y}''+9y=0$ , $y(0)=0$ , $y(\pi /2)=\sqrt{2}$, then $y(\pi /4)$ is ________

Consider the function $f(x)=2x^3-3x^2$ in the domain $[-1,2]$ The global minimum of $f(x)$ is ____________

A two-member truss $PQR$ is supporting a load $W$. The axial forces in members $PQ$ and $QR$ are respectively$2W$ tensile and $\sqrt{3}W$ compressive$\sqrt{3}W$ tensile a...

A block of mass $m$ rests on an inclined plane and is attached by a string to the wall as shown in the figure. The coefficient of static friction between the plane and th...

Match the following:$\begin{array}{|l|l|l|l|} \hline P. & \text{Feeler guage} & I. & \text{Radius of an object} \\ \hline Q. & \text{Fillet guage} & II. & \text{Diameter ...

In an orthogonal cutting process the tool used has rake angle of zero degree. The measured cutting force and thrust force are $500 \: N$ and $250 \: N$, respectively. The...

The non-traditional machining process that essentially requires vacuum iselectron beam machiningelectro chemical machiningelectro chemical discharge machiningelectro disc...

The part of a gating system which regulates the rate of pouring of molten metal ispouring basinrunnerchokeingate

Under optimal conditions of the process the temperatures experienced by a copper work piece in fusion welding, brazing and soldering are such that$T_{\text{welding}} T_{...

Propane ($C_3H_8$) is burned in an oxygen atmosphere with $10$% deficit oxygen with respect to the stoichiometric requirement. Assuming no hydrocarbons in the products, t...

The INCORRECT statement about regeneration in vapor power cycle is thatit increases the irreversibility by adding the liquid with higher energy content to the steam gener...

Consider two hydraulic turbines having identical specific speed and effective head at the inlet. If the speed ratio $\displaystyle{\left(\frac{N_1}{N_2}\right)}$ of the t...

A plastic sleeve of outer radius $r_0=1$ $mm$ covers a wire (radius $r=0.5\:mm$) carrying electric current. Thermal conductivity of the plastic is $0.15 W/m-K$. The heat ...

For a floating body, buoyant force acts at thecentroid of the floating bodycenter of gravity of the bodycentroid of the fluid vertically below the bodycentroid of the dis...

The instantaneous stream-wise velocity of a turbulent flow is given as follows:$u(x,y,z,t)=\overline{u}(x,y,z)+{u}'(x,y,z,t)$The time-average of the fluctuating velocity ...

The spring constant of a helical compression spring DOES NOT depend oncoil diametermaterial strengthnumber of active turnswire diameter

A single degree of freedom spring mass system with viscous damping has a spring constant of $10$ $kN/m$. The system is excited by a sinusoidal force of amplitude $100$ $N...

A car is moving on a curved horizontal road of radius $100$ $m$ with a speed of $20$ $m/s$. The rotating masses of the engine have an angular speed of $100$ $rad/s$ in cl...

A cantilever beam having square cross-section of side $a$ is subjected to an end load. If $a$ is increased by $19\%$, the tip deflection decreases approximately by$19\%$$...

The cross sections of two hollow bars made of the same material are concentric circles as shown in the figure. It is given that $r_3>r_1$ and $r_4 r_2$, and that the are...

The solution to the system of equations$\begin{bmatrix} 2 & 5\\-4 &3 \end{bmatrix}\begin{bmatrix} x\\y \end{bmatrix}=\begin{bmatrix} 2\\ -30 \end{bmatrix}$ is$6,2$$-6,2$$...

Solve the equation $x=10\cos(x)$ using the Newton-Raphson method. The initial guess is $x=\pi /4$. The value of the predicted root after the first iteration, up to second...