Recent questions tagged gateme-2015-set3

In a CNC milling operation, the tool has to machine the circular arc from point $(20, 20)$ to $(10, 10)$ at sequence number $5$ of the CNC part program. If the center of ...

Orthogonal turning of a mild steel tube with a tool of rake angle $10^\circ $ is carried out at a feed of $0.14 mm/rev$. If the thickness of the chip produced is $0.28 mm...

The annual requirement of rivets at a ship manufacturing company is $2000 \: kg$. The rivets are supplied in units of $1 \: kg$ costing $Rs. 25$ each. If it costs $Rs. 10...

Ratio of solidification time of a cylindrical casting (height = radius) to that of a cubic casting of side two times the height of cylindrical casting is ________

In a rolling operation using rolls of diameter $500$ $mm$, if a $25$ $mm$ thick plate cannot be reduced to less than $20$ $mm$ in one pass, the coefficient of friction be...

For ball bearings, the fatigue life $L$ measured in number of revolutions and the radial load $F$ are related by $FL^{1/3} = K$, where $K$ is a constant. It withstands a ...

The number of degrees of freedom of the linkage shown in the figure is-$3$$0$$1$$2$

The value of $\displaystyle{\lim_{x\rightarrow 0}\left(\frac{-\sin x}{2\sin x+x\cos x}\right)}$ is ________

Figure shows a wheel rotating about $O_2$. Two points $A$ and $B$ located along the radius of wheel have speeds of $80$ $m/s$ and $140$ $m/s$ respectively. The distance b...

The value of moment of inertia of the section shown in the figure about the axis-XX is$8.5050×10^6$ $mm^4$$6.8850×10^6$ $mm^4$$7.7625×10^6$ $mm^4$$8.5725×10^6$ $mm^4$

An air-standard Diesel cycle consists of the following processes:$1 – 2$: Air is compressed isentropically.$2 – 3$: Heat is added at constant pressure.$3 – 4$: Air expand...

Let $\phi$ be an arbitrary smooth real valued scalar function and $\overrightarrow{V}$ be an arbitrary smooth vector valued function in a three-dimensional space. Which o...

A rigid container of volume $0.5 m^3$ contains $1.0$ kg of water at $12^\circ C$ $(v_f = 0.00106 m^3/kg$, $v_g= 0.8908 m^3/kg)$. The state of water iscompressed liquidsat...

Three parallel pipes connected at the two ends have flow-rates $Q_1$, $Q_2$ and $Q_3$ respectively, and the corresponding frictional head losses are $h_{L1}$, $h_{L2}$ an...

Which two of the following joining processes are autogeneous?Diffusion weldingElectroslag weldingTungsten inert gas weldingFriction welding(i) and (iv)(ii) and (iii)(ii) ...

A drill is positioned at point P and it has to proceed to point Q. The coordinates of point Q in the incremental system of defining position of a point in CNC part progra...

Which of the following statements are TRUE for damped vibrations?P. For a system having critical damping, the value of damping ratio is unity and system does not undergo ...

A weight of $500$ $N$ is supported by two metallic ropes as shown in the figure. The values of tensions $T_1$ and $T_2$ are respectively$433$ $N$ and $250$ $N$$250$ $N$ a...

A cylindrical tank with closed ends is filled with compressed air at a pressure of $500$ $kPa$. The inner radius of the tank is $2$ $m$, and it has wall thickness of $10$...

Using a unit step size, the value of integral $\int_{1}^{2}x \ln x dx$ by trapezoidal rule is ________

The lowest eigenvalue of the $2\times 2$ matrix $\begin{bmatrix} 4 & 2\\ 1 & 3 \end{bmatrix}$ is ________

If $P(X) = \displaystyle{\frac{1}{4}}$, $P(Y) = \displaystyle{\frac{1}{3}}$, and $P(X \cap Y) = \displaystyle{\frac{1}{12}}$, the value of $P(Y/X)$ is$\displaystyle{\frac...

Saturated vapor is condensed to saturated liquid in a condenser. The heat capacity ratio is $C_r = \displaystyle{\frac{C_{\text{min}}}{C_{\text{max}}}}$. The effectivenes...

The ratio of momentum diffusivity $(ν)$ to thermal diffusivity $(\alpha)$, is calledPrandtl numberNusselt numberBiot numberLewis number

Couette flow is characterized bysteady, incompressible, laminar flow through a straight circular pipefully developed turbulent flow through a straight circular pipesteady...

In the notation $(a/b/c) : (d/e/f)$ for summarizing the characteristics of queuing situation, the letters $‘b’$ and $‘d’$ stand respectively forservice time distribution ...

In full mould (cavity-less) casting process, the pattern is made ofexpanded polystyrenewaxepoxyplaster of Paris

In a machining operation, if the generatrix and directrix both are straight lines, the surface obtained iscylindricalhelicalhelicalsurface of revolution