Recent questions tagged gateme-2018-set1

The maximum reduction in cross-sectional area per pass $(R)$ of a cold wire drawing process is $R=1-e^{-(n+1)}$, where $n$ represents the strain hardening coefficient. Fo...

In a Lagrangian system, the position of a fluid particle in a flow is described as $x=x_0e^{-kt}$ and $y=y_oe^{kt}$ where $t$ is the time while $x_o, \: y_o$, and $k$ are...

A tank open at the top with a water level of $1$ m, as shown in the figure, has a hole at a height of 0.5 m. A free jet leaves horizontally from the smooth hole. The dist...

A self-aligning ball bearing has a basic dynamic load rating $(C_{10}$, for $10^6$ revolutions) of $35$ kN. If the equivalent radial load on the bearing is $45$ kN, the e...

The value of the integralover the closed surface $S$ bounding a volume $V$, where $\overrightarrow{r} = x \hat{i} + y \hat{j}+z \hat{k}$ is the position vector and $\over...

Let $X_1, \: X_2$ be two independent normal random variables with means $\mu_1, \: \ \mu_2$ and standard deviations $\sigma_1, \: \sigma_2$, respectively. Consider $Y=X_1...

A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of $\theta = 30^{\circ}$ as shown in the figure.The glue used at the interface ...

An epicyclic gear train is shown in the figure below. The number of teeth on the gears A, B and D are $20$, $30$ and $20$, respectively. Gear C has $80$ teeth on the inne...

The state of stress at a point, for a body in plane stress, is shown in the figure below. If the minimum principal stress is $10$ kPa, then the normal stress $\sigma_y$ (...

A point mass is shot vertically up from ground level with a velocity of $4$ m/s at time, $t=0$. It loses $20 \%$ of its impact velocity after each collision with the grou...

The height (in mm) for a $125$ mm sine bar to measure a taper of $27^\circ \: 32'$ on a flat work piece is _____ (correct to three decimal palces).

For a Pelton wheel with a given water jet velocity, the maximum output power from the Pelton wheel is obtained when the ratio of the bucket speed to the water jet speed i...

An ideal gas undergoes a process from state $1 \: (T_1 = 300\: K, \: p_1 = 100 \: kPa)$ to state $2 \: (T_2 = 600 \; K, \: p_2 = 500 \: kPa)$. The specific heats of the...

If the wire diameter of a compressive helical spring is increased by $2 \%$, the change in spring stiffness (in $\%$) is _____ (correct to two decimal places)

A four bar mechanism is made up of links of length $100$, $200$, $300$ and $350$ mm. If the $350$ mm link is fixed, the number of links that can rotate fully is _________

A steel column of rectangular section ($15$ mm $\times \: 10$ mm) and length $1.5$ m is simply supported at both ends. Assuming modulus of elasticity, $E=200$ GPa for ste...

The time series forecasting method that gives equal weightage to each of the $m$ most recent observations isMoving average methodExponential smoothing with linear trendTr...

Interpolator in a CNC machinecontrols spindle speedcoordinates axes movementsoperates tool changercommands canned cycle

A grinding ratio of $200$ implies that thegrinding wheel wears $200$ times the volume of the material removedgrinding wheel wears $0.005$ times the volume of the material...

Using the Taylor's tool life equation with exponent $n=0.5$, if th cutting speed is reduced by $50$, the ratio of new tool life to original tool life is$4$$2$$1$$0.5$

The type of weld represented by the shaded region in the figure isgroovespotfilletplug

In a linearly hardening plastic material, the true stress beyond initial yieldingincreases linearly with the true straindecreases linearly with the true strainfirst incre...

Which one of the following statements is correct for a superheated vapour?Its pressure is less than the saturation pressure at a given temperatureIts temperature is less ...

For a wo-dimensional incompressible flow field given by $\overrightarrow{u} = A(x \hat{i} - y \hat{j}), \text{ where } A>0$, which one of the following statements is FALS...

For an Oldham coupling used between two shafts, which among the following statements are correct?Torsional load is transferred along shaft axisA velocity ratio of $1:2$ b...

The equation of motion for a spring-mass system excited by a harmonic force is $M\ddot{x} + K x = F \cos(\omega t)$, where $M$ is the mass, $K$ is the spring stiffness, $...

If $\sigma_1$ and $\sigma_3$ are the algebraically largest and smallest principal stresses respectively, the value of the maximum shear stress is$\dfrac{\sigma_1 +\sigma_...