Recent questions tagged gateme-2021-set2

A plane frame $\text{PQR}$ (fixed at $\text{P}$ and free at $\text{R}$) is shown in the figure. Both members ($\text{PQ}$ and $\text{QR}$) have length, $\text{L}$, and fl...

A power transmission mechanism consists of a belt drive and a gear train as shown in the figure.Diameters of pulleys of belt drive and number of teeth $\text{(T)}$ on the...

A machine of mass $\text{100 kg}$ is subjected to an external harmonic force with a frequency of $\text{40 rad/s}$. The designer decides to mount the machine on an isolat...

Consider the system shown in the figure. A rope goes over a pulley. A mass, $\text{m}$, is hanging from the rope. A spring of stiffness, $\text{k}$, is attached at one en...

Find the positive real root of $x^3-x-3=0$ using Newton-Raphson method. lf the starting guess $(x_{0})$ is $2,$ the numerical value of the root after two iterations $(x_{...

Daily production capacity of a bearing manufacturing company is $30000$ bearings. The daily demand of the bearing is $15000$. The holding cost per year of keeping a beari...

A cast product of a particular material has dimensions $75\: \text{mm} \times 125\: \text{mm} \times 20 \:\text{mm}$. The total solidification time for the cast product i...

A spot welding operation performed on two pieces of steel yielded a nugget with a diameter of $\text{5 mm}$ and a thickness of $\text{1 mm}$. The welding time was $\text{...

A surface grinding operation has been performed on a Cast Iron plate having dimensions $\text{300 mm} (\textit{length}) \times \text{10 mm} (\textit{width})\times\text{50...

In a pure orthogonal turning by a zero rake angle single point carbide cutting tool, the shear force has been computed to be $\text{400 N}$. The cutting velocity, $V_{c}=...

The thickness, width and length of a metal slab are $\text{50 mm}$, $\text{250 mm}$ and $\text{3600 mm}$, respectively. A rolling operation on this slab reduces the thick...

A $\text{76.2 mm}$ gauge block is used under one end of a $\text{254 mm}$ sine bar with roll diameter of $\text{25.4 mm}$. The height of gauge blocks required at the othe...

The demand and forecast of an item for five months are given in the table.$$\begin{array}{|cl|cI|cI|}\hline&\textbf{Month} & \textbf{Demand} & \textbf{Forecast} \\ \hline...

A shell and tube heat exchanger is used as a steam condenser. Coolant water enters the tube at $300 \text{ K}$ at a rate of $100 \text{ kg/s}$. The overall heat transfer ...

Ambient air flows over a heated slab having flat, top surface at $y = 0$. The local temperature (in Kelvin) profile within the thermal boundary layer is given by $\text{T...

Water flows out from a large tank of cross-sectional area $A_{t}=1 \text{ m}^{2}$ through a small rounded orifice of cross-sectional area $A_{o} = 1 \text{ cm}^2$, locat...

Consider the open feed water heater $\text{(FWH)}$ shown in the figure given below:Specific enthalpy of steam at location $2$ is $\text{2624 kJ/kg}$, specific enthalpy of...

A high velocity water jet of cross section area = $0.01 \text{ m}^{2}$ and velocity $\text{35 m/s}$ enters a pipe filled with stagnant water. The diameter of the pipe is ...

A vertical shaft Francis turbine rotates at $\text{300 rpm}$. The available head at the inlet to the turbine is $\text{200 m}$. The tip speed of the rotor is $\text{40 m/...

An adiabatic vortex tube, shown in the figure given below is supplied with $\text{5 kg/s}$ of air (inlet $1$) at $\text{500 kPa}$ and $\text{300 K}$. Two separate streams...

A block of negligible mass rests on a surface that is inclined at $30^{\circ}$ to the horizontal plane as shown in the figure. When a vertical force of $\text{900 N}$ and...

The wheels and axle system lying on a rough surface is shown in the figure.Each wheel has diameter $\text{0.8 m}$ and mass $\text{1 kg}$. Assume that the mass of the whe...

A cantilever beam with a uniform flexural rigidity ($\text{EI} = 200 \times 10^{6} \text{N.m}^{2}$ ) is loaded with a concentrated force at its free end. The area of the ...

The torque provided by an engine is given by $T(\theta) =12000+ 2500 \sin(2 \theta) \text{N.m}$, where $\theta$ is the angle turned by the crank from inner dead center. T...

The figure shows the relationship between fatigue strength $\text{(S)}$ and fatigue life $\text{(N)}$ of a material. The fatigue strength of the material for a life of $1...