Recent questions tagged gateme-2017-set2

A steel plate, connected to a fixed channel using three identical bolts $A, B$ and $C$, carries a load of $6$ kN as shown in the figure. Considering the effect of direct ...

Three masses are connected to a rotating shaft supported on bearings $A$ and $B$ as shown in the figure. The system is in a space where the gravitational effect is absent...

A helical compression spring made of a wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wir...

Consider the differential equation $3y" (x)+27 y (x)=0$ with initial conditions $y(0)=0$ and $y'(0)=2000$. The value of $y$ at $x=1$ is ________.

The surface integral $\int \int _{s} F.n $ dS over the surface $S$ of the sphere $x^{2}+y^{2}+z^{2}=9$, where $F=(x+y) i+(x+z) j+(y+z)k$ and $n$ is the unit outward surfa...

The standard deviation of linear dimensions $P$ and $Q$ are $3 \mu$ m and $4 \mu$ m, respectively. When assembled, the standard deviation (in $\mu$ m) of the resulting li...

A gear train shown in the figure consists of gears $P, Q, R,$ and $S$. Gear $Q$ and gear $R$ are mounted on the same shaft. All the gears are mounted on parallel shafts a...

The radius of gyration of a compound pendulum about the point of suspension is $100$ mm. The distance between the point of suspension and the centre of mass is $250$ mm. ...

Block $2$ slides outward on link $1$ at a uniform velocity of $6$ m/s as shown in the figure. Link $1$ is rotating at a constant angular velocity of $20$ radian/s counter...

It is desired to make a product having $T$-shaped cross-section from a rectangular aluminium block. Which one of the following processes is expected to provide the highes...

For a single server with Poisson and exponential service time, the arrival rate is $12$ per hour. Which one of the following service rates will provide a steady state fin...

Given the atomic weight of Fe is $56$ and that of $C$ is $12$, the weight percentage of carbon in cementite $(Fe_{3}C)$ is _________.

Which one of the following statements is TRUE for the ultrasonic machining (USM) process?In USM, the tool vibrates at subsonic frequency.USM does not employ magnetostrict...

The emissive power of a blackbody is $P$. If its absolute temperature is doubled, the emissive power becomes$2 P$$4 P$$8 P$$16 P$

The heat loss from a fin is $6$ W. The effectiveness and efficiency of the fin are $3$ and $0.75$, respectively. The heat loss (in W) from the fin, keeping the entire fin...

Consider a laminar flow at zero incidence over a flat plate. The shear stress at the wall is denoted by $\tau _{w}$. The axial positions $x_{1}$ and $x_{2}$ on the plate ...

For the stability of a floating body theCentre of buoyancy must coincide with the centre of gravity.Centre of buoyancy must be above the centre of gravity.Centre of gravi...

A mass $m$ of a perfect gas at pressure $p_{1}$ and volume $V_{1}$ undergoes an isothermal process. The final pressure is $p_{2}$ and volume is $V_{2}$. The work done on ...

Which one of the following statements is TRUE?Both Pelton and Francis turbines are impulse turbines.Francis turbine is a reaction turbine but Kaplan turbine is an impulse...

In a slider-crank mechanism, the lengths of the crank and the connecting rod are $100$ mm and $160$ mm, respectively. The crank is rotating with an angular velocity of $1...

A machine component made of a ductile material is subjected to a variable loading with $\sigma _{\text{min}}=-50$ MPa and $\sigma _{\text{max}}=-50$ MPa. If the corrected...

A steel bar is held by two fixed supports as shown in the figure and is subjected to an increase of temperature $\Delta T=100^{\circ}C$. If the coefficient of thermal exp...

The Laplace transform of $te^{t}$ is$\dfrac{s}{(s+1)^{2}} \\$$\dfrac{1}{(s-1)^{2}} \\$$\dfrac{1}{(s+1)^{2}} \\$$\dfrac{s}{(s-1)}$

A sample of $15$ data is as follows: $17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3$. The mode of the data is$4$$13$$17$$20$

The divergence of the vector $-yi+xj$ is ________.