Recent activity - GO Mechanical

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GATE2019-1-32
The wall of a constant diameter pipe of length $1 \: m$ is heated uniformly with flux $q''$ by wrapping a heater coil around it. The flow at the inlet to the pipe is hydrodynamically fully developed. The fluid is incompressible and the flow is assumed to be laminar and steady ... the location P, Q and R, the flow is thermally developed at P, Q and R P and Q only Q and R only R only

edited 2 days ago in Others by jothee (100 points)

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GATE2019-1-31
The rotor of a turbojet engine of an aircraft has a mass $180 \: kg$ and polar moment of inertia $10 \: kg \cdot m^2$ about the rotor axis. The rotor rotates at a constant speed of $1100 \: rad/s$ in the clockwise direction when viewed from the front of the aircraft. The ... and the nose goes down $162.9 \: N \cdot m$ and the nose goes up $162.9 \: N \cdot m$ and the nose goes down

edited 2 days ago in Others by jothee (100 points)

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GATE2019-1-30
In a four bar planar mechanism shown in the figure, $AB= 5 \: cm, AD=4 \: cm $ and $DC=2 \: cm$. In the configuration shown, both AB and DC are perpendicular to AD. The bar AB rotates with an angular velocity of $10 \: rad/s$. The magnitude of angular velocity (in rad/s) of bar DC at this instant is $0$ $10$ $15$ $25$

edited 2 days ago in Others by jothee (100 points)

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GATE2019-1-29
A car having weight $W$ is moving in the direction as shown in the figure. The center of gravity (CG) of the car is located at height $h$ from the ground, midway between the front and rear wheels. The distance between real and front wheel is $l$. The acceleration of the car is $a$, and ... $R_f=R_r = \frac{W}{2}+\frac{W}{g} \big( \frac{h}{l} \big) a$

edited 2 days ago in Others by jothee (100 points)

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GATE2019-1-28
The variable $x$ takes a value between $0$ and $10$ with uniform probability distribution. The variable $y$ takes a value between $0$ and $20$ with uniform probability distribution. The probability of the sum of variables $(x+y)$ being greater then $20$ is $0$ $0.25$ $0.33$ $0.50$

edited 2 days ago in Others by jothee (100 points)

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GATE2019-1-27
A harmonic function is analytic if it satisfies the Laplace equation. If $u(x,y)=2x^2-2y^2+4xy$ is a harmonic function, then it is conjugate harmonic function $v(x,y)$ is $4xy-2x^2+2y^2+ \text{constant}$ $4y^2-4xy + \text{constant}$ $2x^2-2y^2+ xy + \text{constant}$ $-4xy+2x^2-2y^2+ \text{constant}$

edited 2 days ago in Others by jothee (100 points)

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GATE2019-1-26
The set of equations $x+y+z=1$ $ax-ay+3z=5$ $5x-3y+az=6$ has infinite solutions, if $a=$ $-3$ $3$ $4$ $-4$

edited 2 days ago in Others by jothee (100 points)

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GATE2019-1-25
Consider the stress-strain curve for an ideal elastic-plastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from $O$. Upon loading, the stress-strain curve passes through initial yield point at $P$, and then ... same specimen is reloaded in tension from point $R$, the value of stress at which the material yields again is _______ MPa.

edited 2 days ago in Others by jothee (100 points)

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GATE2019-1-24
Air of mass $1$ kg, initially at $300$ K and $10$ bar, is allowed to expand isothermally till it reaches a pressure of $1$ bar. Assuming air as an ideal gas with gas constant of $0.287 \: kJ/kg.K$, the change in entropy of air (in $kJ/kg.K$, round off to two decimal places) is ______

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-23
Water flows through a pipe with a velocity given by $\overrightarrow{V}= \big( \frac{4}{t}+x+y \big) \hat{j} \: m/s$, where $\hat{j}$ is teh unit vector in the $y$ direction, $t(>0)$ is in seconds, and $x$ and $y$ are in meters. The magnitude of total acceleration at the point $(x,y)=(1,1)$ at $t=2\: s$ is ______$m/s^2$

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-22
During a high cycle fatigue test, a metallic specimen is subjected to cyclic loading with a mean stress of $+140$ MPa, and a minimum stress of $-70$ MPa. The $R$-ration (minimum stress to maximum stress) for this cyclic loading is _____ (round off to one decimal place)

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-21
A solid cube of side $1$ m is kept at a room temperature of $32^{\circ} C$. The coefficient of linear thermal expansion of the cube material is $1 \times 10^{-5} / ^{\circ}C$ and the bulk modulus is $200$ GPa. If the cube is constrained all around and heated uniformly to $42^{\circ}C$, then the magnitude of volumetric (mean) stress (in MPa) included due to heating is _______

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-20
A cylindrical rod of diameter $10$ mm and length $0.1$m fixed at one end. The other end is twisted by an angle of $10^{\circ}$ by applying a torque. If the maximum shear strain in the rod is $p \times 10^{-3}$, then $p$ is equal to ____ (round off to two decimal places).

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-19
A block of mass $10$ kg rests on a horizontal floor. The acceleration due to gravity is $9.81 \: m/s^2$. The coefficient of static friction between the floor and the block is $0.2$. A horizontal force of $10$ N is applied on the block as shown in the figure. The magnitude of force of friction (in N) on the block is _____

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-18
Evaluation of $\int_2^4 x^3 dx$ using a $2$-equal-segment trapezoidal rule gives a value of _______

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-17
The table presents the demand of a product. By simple three-months moving average method, the demand-forecast of the product for the month of September is ... $490$ $510$ $530$ $536.67$

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-16
The position vector $\overrightarrow{OP}$ of point $P(20,10)$ is rotated anti-clockwise in X-Y plane by an angle $\theta = 30^{\circ}$ such that point P occupies position Q, as shown in the figure. The coordinates (x,y) of Q are $(13.40,22.32)$ $(22.32, 8.26)$ $(12.32, 18.66)$ $(18.66, 12.32)$

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-15
The length, width and thickness of a steel sample are $400$ mm, $40$ mm and $20$ mm, respectively. Its thickness needs to be uniformly reduced by $2$ mm in a single pass by using horizontal slab milling. The milling cutter (diameter: $100$ mm, width: $50$ mm) has $20$ ... machining task are $14$ mm, $18.4$ s $21$ mm, $28.9$ s $21$ mm, $39.4$ s $14$ mm, $21.4$ s

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-14
Which one of the following welding methods provides the highest heat flux $(W/mm^2)$? Oxy-acetylene gas welding Tungsten inert gas welding Plasma arc welding Laser beam welding

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-13
In a casting process, a vertical channel through which molten metal flows downward from pouring basin to runner for reaching the mold cavity is called blister sprue riser pin hole

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-12
Consider an ideal vapor compression refrigeration cycle. If the throttling process is replaced by an isentropic expansion process, keeping all the other processes unchanged, which one of the following statements is true for the modified cycle? Coefficient of ... of performance is same as that of the original cycle Refrigerating effect is lower than that of the original cycle

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-11
A slender rod of length $L$, diameter $d$ $(L d)$ and thermal conductivity $k_1$ is joined with another rod of identical dimensions, but of thermal conductivity $k_2$, to form a composite cylinderical rod of length $2L$. The heat transfer in radial direction and ... conductivity of the composite rod is $k_1+k_2$ $\sqrt{k_1k_2}$ $\frac{k_1k_2}{k_1+k_2}$ $\frac{2k_1k_2}{k_1+k_2}$

edited 3 days ago in Others by jothee (100 points)

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GATE2019-1-10
As per common design practice, the three types of hydraulic turbines, in descending order of flow rate, are Kaplan, Francis, Pelton Pelton, Francis, Kaplan Francis, Kaplan, Pelton Pelton, Kaplan, Francis

edited 4 days ago in Others by jothee (100 points)

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GATE2019-1-9
For a hydrodynamically and thermally fully developed laminar flow through a circular pipe of constant cross-section, the Nusselt number at constant wall heat flux $(Nu_q)$ and that at constant wall temperature $(Nu_T)$ are related as $Nu_q > Nu_r$ $Nu_q < Nu_r$ $Nu_q = Nu_r$ $Nu_q = (Nu_r)^2$

edited 4 days ago in Others by jothee (100 points)

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GATE2019-1-8
During a non-flow thermodynamic process $(1-2)$ executed by a perfect gas, the heat interaction is equal to the work interaction $(Q_{1-2} = W_{1-2})$ when the process is Isentropic Polytropic Isothermal Adiabatic

edited 4 days ago in Others by jothee (100 points)

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GATE2019-1-7
A spur gear with $20^{\circ}$ full depth teeth is transmitting $20 \: kW$ at $200 \: rad/s$. The pitch circle diameter of the gear is $100 \: mm$. The magnitude of the force applied on the gear in the radial direction is $0.36 \: kN$ $0.36 \: kN$ $1.39 \: kN$ $2.78 \: kN$

edited 4 days ago in Others by jothee (100 points)

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GATE2019-1-6
The natural frequencies corresponding tot he spring-mass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. Tha ratio $\frac{\omega_I}{\omega_{II}}$ is $\frac{1}{4}$ $\frac{1}{2}$ $2$ $4$

edited 4 days ago in Others by jothee (100 points)

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GATE2019-1-5
A flat-faced follower is driven using a circular eccentric cam rotating at a constant angular velocity $\omega$. At time $t=0$, the vertical position of the follower is $y(0)=0$, and the system is in the configuration shown below: The vertical position of the follower face, $(y(t)$ is given by $e \sin \omega t$ $e(1+ \cos 2 \omega t)$ $e(1- \cos \omega t)$ $e \sin 2 \omega t$

edited 4 days ago in Others by jothee (100 points)

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GATE2019-1-4
The lengths of a large stock of titanium rods follow a normal distribution with a mean $(\mu)$ of $440$ mm and a standard deviation $(\sigma)$ of $1$ mm.What is the percentage of rods whose lengths lie between $438$ mm and $441$ mm? $81.85 \%$ $68.4 \%$ $99.75 \%$ $86.64 \%$

edited 4 days ago in Others by jothee (100 points)

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GATE2019-1-3
For the equation $\frac{dy}{dx}+7x^2y=0$, if $y(0)=3/7$, then the value of $y(1)$ is $\frac{7}{3}e^{-7/3}$ $\frac{7}{3}e^{-3/7}$ $\frac{3}{7}e^{-7/3}$ $\frac{3}{7}e^{-3/7}$

edited 4 days ago in Others by jothee (100 points)

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GATE2019-1-2
A parabola $x=y^2$ with $0 \leq x \leq 1$ is shown in the figure. The volume of the solid of rotation obtained by rotating the shaded area by $360^{\circ}$ around x-axis is $\frac{\pi}{4}$ $\frac{\pi}{2}$ ${\pi}$ $2 \pi$

edited 6 days ago in Others by jothee (100 points)

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GATE2019-1-1
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$

edited 6 days ago in Linear Algebra by jothee (100 points)

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GATE2019-1-GA-10
M and N had four children P, Q, R and S. Of them, only P and R were married. They had children X and Y respectively. If Y is a legitimate child of W, which of the following statements is necessarily FALSE? M is the grandmother of Y R is the father of Y W is the wife of R W is the wife of P

edited 6 days ago in Others by jothee (100 points)

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GATE2019-2-54
In an orthogonal machining with a single point cutting tool of rake angle $10^{\circ}$, the uncut chip thickness and the chip thickness are $0.125$ mm and $0.22$ mm, respectively. Using Merchant’s first solution for the condition of minimum cutting force, the coefficient of friction at the chip-tool interface is _______ (round off to two decimal places).

edited 6 days ago in Computer Integrated Manufacturing by jothee (100 points)

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GATE2019-1-GA-9
A firm hires employees at five different skill levels P, Q, R, S, T. The shares of employment at these skills levels of total employment in $2010$ is given in the pie chart as shown. There were a total of $600$ employees in $2010$ and the total employment increased by $15\%$ ... $2010$ to $2016$, how many employees were there at skill level T in $2016$? $30$ $35$ $60$ $72$

edited Apr 7 in Others by jothee (100 points)

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GATE2019-1-GA-8
Congo was named by Europeans, Congo's dictator Mobuto later changed the name of the county and the river to Zaire with the objective of Africanising names of persons and spaces. However, the name Zaire was a Portuguese alteration of Nzadi O Nzere, ... Africanise names was prevented by the Portuguese As a dictator Mobuto ordered the Portuguese to alter the name of the river to Zaire

edited Apr 7 in Others by jothee (100 points)

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GATE2019-1-GA-7
A person divided an amount of Rs. $100,000$ into two parts and invested in two different schemes. In one he got $10 \%$ profit and in the other he got $12 \%$. If he got profit percentages are interchanged with these investments he would have got Rs. $120$ less. Find the ratio between his investments in the two schemes. $9:16$ $11:14$ $37:63$ $47:53$

edited Apr 7 in Others by jothee (100 points)

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GATE2019-1-GA-6
Under a certain legal system, prisoners are allowed to make one statement. If their statements turns out to be true then they are hanged. If the statements turns to be false then they are shot. One prisoner made a statement and the judge had no option ... the following could be that statement? I did not commit the crime I committed the crime I will be shot You committed the crime

edited Apr 7 in Others by jothee (100 points)

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GATE2019-1-GA-5
The minister avoided any mention of the issue of women’s reservation in the private sector. He was accused of ______ the issue. collaring skirting tying belting

edited Apr 7 in Others by jothee (100 points)

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GATE2019-1-GA-4
The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______ $2$ $3$ $4$ $6$

edited Apr 7 in Others by jothee (100 points)

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