Recent questions without answers

A cutting tool provides a tool life of $60$ minutes while machining with the cutting speed of $60 \mathrm{~m} / \mathrm{min}$. When the same tool is used for machining th...

Aluminium is casted in a cube-shaped mold having dimensions as $20 \mathrm{~mm} \times 20 \mathrm{~mm} \times 20 \mathrm{~mm}$. Another mold of the same mold material is ...

A blanking operation is performed on $\text{C}20$ steel sheet to obtain a circular disc having a diameter of $20 \mathrm{~mm}$ and a thickness of $2 \mathrm{~mm}$. An all...

In an arc welding process, the voltage and current are $30 \mathrm{~V}$ and $200 \mathrm{~A}$, respectively. The cross-sectional area of the joint is $20 \mathrm{~mm}^{2}...

A flat surface of a $\text{C}60$ steel having dimensions of $100 \mathrm{~mm}$ (length) $\times 200 \mathrm{~mm}$ (width) is produced by a $\text{HSS}$ slab mill cutter. ...

In a supplier-retailer supply chain, the demand of each retailer, the capacity of each supplier, and the unit cost in rupees of material supply from each supplier to each...

A second order real system has the following properties.The damping ratio is 0.5 and undamped natural frequency is 10rad/sec, the steady state value at zero is 1.02.the t...

a mixture of carbon dioxide and water vapour is at 100kPa, 200C temperature. As the mixture is cooled at a constant pressure, water vapour begins to condense when the tem...

The figure shows the plot of a function over the interval $[-4,4]$. Which one of the options given $\text{CORRECTLY}$$ identifies the function?$|2-x|$$|2-| x||$$|2+| x||$...

With reference to the Economic Order Quantity $\text{(EOQ)}$ model, which one of the options given is correct?$\text{Curve P1:}$ Total cost, $\text{Curve P2:}$ Holding co...

Which one of the options given represents the feasible region of the linear programming model:$$\begin{gathered}\text { Maximize } 45 X_1+60 X_2 \\X_1 \leq 45 \\X_2 \leq ...

A cuboidal part has to be accurately positioned first, arresting six degrees of freedom and then clamped in a fixture, to be used for machining. Locating pins in the form...

The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid? 

Air (density $=1.2 \mathrm{~kg} / \mathrm{m}^3$, kinematic viscosity $=1.5 \times 10^{-5} \mathrm{~m}^2 / \mathrm{s}$ ) flows over a flat plate with a free-stream velocit...

Consider an isentropic flow of air (ratio of specific heats $=1.4$ ) through a duct as shown in the figure.The variations in the flow across the cross-section are negligi...

Consider incompressible laminar flow of a constant property Newtonian fluid in an isothermal circular tube. The flow is steady with fully-developed temperature and veloci...

A heat engine extracts heat $\left(Q_{\mathrm{H}}\right)$ from a thermal reservoir at a temperature of $1000 \mathrm{~K}$ and rejects heat $\left(Q_{\mathrm{L}}\right)$ t...

A beam is undergoing pure bending as shown in the figure. The stress $(\sigma)$-strain $(\varepsilon)$ curve for the material is also given. The yield stress of the mater...

In a metal casting process to manufacture parts, both patterns and moulds provide shape by dictating where the material should or should not go. Which of the option(s) gi...

The principal stresses at a point $\mathrm{P}$ in a solid are $70 ~ \mathrm{MPa},-70 ~ \mathrm{MPa}$ and $0$. The yield stress of the material is $100 ~ \mathrm{MPa}$. Wh...

Which of the plot(s) shown is/are valid Mohr's circle representations of a plane stress state in a material? (The center of each circle is indicated by $0$.)$\text{M1}$$\...

Consider a laterally insulated rod of length $\mathrm{L}$ and constant thermal conductivity. Assuming one-dimensional heat conduction in the rod, which of the following s...

Two meshing spur gears $1$ and $2$ with diametral pitch of $8$ teeth per mm and an angular velocity ratio $\left|\omega_{2}\right| /\left|\omega_{1}\right|=1 / 4$, have t...

The figure shows a block of mass $m=20 \mathrm{~kg}$ attached to a pair of identical linear springs, each having a spring constant $k=1000 \mathrm{~N} / \mathrm{m}$. The ...

A vector field$$\mathbf{B}(x, y, z)=x \; \hat{\imath}+y \; \hat{\jmath}-2 z \; \hat{\mathrm{k}}$$is defined over a conical region having height $h=2$, base radius $r=3$ a...

A linear transformation maps a point $(x, y)$ in the plane to the point $(\hat{x}, \hat{y})$ according to the rule$$\hat{x}=3 y, \quad \hat{y}=2 x .$$Then, the disc $x^2+...

The value of $k$ that makes the complex-valued function$$f(z)=e^{-k x}(\cos 2 y-i \sin 2 y)$$analytic, where $z=x+i y$, is __________. (Answer in integer)

The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the application of a force $\mathbf{P}$. The belt wraps ar...

Consider a counter-flow heat exchanger with the inlet temperatures of two fluids $(1$ and $2)$ being $T_1$, in $=300 \mathrm{~K}$ and $T_2$, in $=350 \mathrm{~K}$. The he...

Which one of the options given is the inverse Laplace transform of $\frac{1}{s^3-S} ?$$u(t)$ denotes the unit-step function.$\left(-1+\frac{1}{2} e^{-t}+\frac{1}{2} e^t\r...