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GATE2019 ME2: 29
A ball of mass $3$ kg moving with a velocity of $4$ m/s undergoes a perfectlyelastic directcentral impact with a stationary ball of mass $m$. After the impact is over, the kinetic energy of the $3$ kg ball is $6$ J. The possible value(s) of $m$ is/are $1$ kg only $6$ kg only $1$ kg, $6$ kg $1$ kg, $9$ kg
asked
Feb 9
in
Others
by
Arjun
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21.2k
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gate2019me2
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GATE2019 ME2: 30
Consider two concentric circular cylinders of different materials $M$ and $N$ in contact with each other at $r=b$, as shown below. The interface at $r=b$ is frictionless, The composite cylinder is subjected to internal presure $P$. Let $(u_r^M, u_{\theta}^M)$ ... $\sigma_{rr}^M = \sigma_{rr}^N \text{ and } \sigma_{\theta \theta}^M = \sigma_{\theta \theta}^N$
asked
Feb 9
in
Others
by
Arjun
(
21.2k
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gate2019me2
0
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0
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GATE2019 ME2: 31
A prismatic, straight, elastic, cantilever beam is subjected ti a linearly distributed transverse load as shown below. If the beam length is $L$, Young’s modulus $E$, and area moment of inertia $I$, the magnitude of the maximum deflection is $\frac{qL^4}{15EI}$ $\frac{qL^4}{30EI}$ $\frac{qL^4}{10EI}$ $\frac{qL^4}{60EI}$
asked
Feb 9
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
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GATE2019 ME2: 32
A slender uniform rigid bar of mass $m$ is hinged at $O$ and supported by two springs, with stiffness, $3k$ and $k$ and a damper with damping coefficient $c$, as shown in the figure. For the system to be critically damped, the ratio $c/\sqrt{km}$ should be $2$ $4$ $2 \sqrt{7}$ $4 \sqrt{7}$
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
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GATE2019 ME2: 33
The figure shows a heat engine (HE) working between two reservoirs. The amount of heat $(Q_2)$ rejected by the heat engine is drawn by a heat pump (HP). The heat pump receives the entire work output $(W)$ of the heat engine. If temperatures, $T_1 >T_3>T_2$, then the relation between ... $\text{COP}= 1 + \eta$ $\text{COP}= \eta^{1}$ $\text{COP}= \eta^{1} 1 $
asked
Feb 9
in
Others
by
Arjun
(
21.2k
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gate2019me2
0
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0
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GATE2019 ME2: 34
The binary phase diagram of metals $P$ and $Q$ is shown in the figure. An alloy $X$ containing $60 \% P$ and $40 \% Q$ (by weight) is cooled from liquid to solid state. The fractions of solid and liquid (in weight percent) at $1250^o C$, respectively, will be $77.8 \% \text{ and } 22.2 \%$ $22.2 \% \text{ and } 77.8 \%$ $68.0 \% \text{ and } 38.0 \%$ $38.0 \% \text{ and } 68.0 \%$
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
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GATE2019 ME2: 35
The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship $ X<Y,Z $ means that $X$ is predecessor of activities $Y$ and $Z$ ... $17$ $21$ $23$ $25$
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
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GATE2019 ME2: 36
The crank of a slidercrank mechanism rotates counterclockwise (CCW) with a constant angular velocity $\omega$, as shown. Assume the length of the crank to be $r$. Using exact analysis, the acceleration of the slider in the $y$direction, at the instant shown, where the crank is parallel to $x$axis, is given by $ \omega ^2r$ $2 \omega ^2r$ $\omega ^2r$ $2 \omega ^2r$
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
answers
GATE2019 ME2: 37
A horizontal cantilever beam of circular crosssection, length $1.0$ m and flexural rigidity $EI=200 \: N \cdot m^2$ is subjected to an applied moment $M_A = 1.0 \: N \cdot m$ at the free end as shown in the figure. The magnitude of the vertical deflection of the free end is ______ mm (round off to one decimal place).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 38
Two masses $A$ and $B$ having mass $m_a$ and $m_b$, respectively, lying in the plane of the figure shown, are rigidly attached to a shaft which revolves about an axis through O perpendicular to the plane of the figure. The radii of rotation of the masses $m_a$ and ... $200$ mm is ____ kg (round off to two decimal places).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
1
answer
GATE2019 ME2: 39
A four bar mechanism is shown in the figure. The link numbers are mentioned near the links. Input link 2 is rotating anticlockwise with a constant angular speed $\omega_2$. Length of different links are: $O_2=O_2A=L,$ $AB=O_4B=\sqrt{2}L$. The magnitude of the ... $O_2O_4$ as shown. The ratio $\frac{\omega_4}{\omega_2}$ is _____ (round off to two decimal places).
asked
Feb 9
in
Theory of Machines
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 40
The probability that a part manufactured by a company will be defective if $0.05$. If $15$ such parts are selected randomly and inspected, then the probability that at least two parts will be defective is _____ (round off to two decimal places).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 41
A uniform disc with radius $r$ and a mass $m$ kg is mounted centrally on a horizontal axle of negligible mass and length $1.5r$. The disc spins counterclockwise about the axle with angular speed $\omega$, when viewed from the righthand side bearing, Q ... $g=10 m/s^2$, the ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is ______
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 42
A short shoe external drum brake is shown in the figure. The diameter of the brake drum is $500 \: mm$. The dimensions $a=1000 \: mm, \: b=500 \: mm$ and $c=200 \: mm$. The coefficient of friction between the drum and the shoe is $0.35$. ... in the figure. The drum is rotating anticlockwise. The braking torque on the drum is ______ $N \cdot m$ (round off to two decimal places).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 43
Water flows through two different pipes A and B of the same circular crosssection but at different flow rates. The length of pipe A is $1.0 \: m$ and that of pipe B is $2.0 \: m$. The flow in both the pipes is laminar and fully developed. If ... head loss across the length of the pipes is same, the ratio of volume flow rates $Q_B/Q_A$ is _____ (round off to two decimal places).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 44
The aerodynamic drag on a sports car depends on its shape. The car has a drag coefficient of $0.1$ with the windows and the roof closed. With the windows and the roof open, the drag coefficient becomes $0.8$. The car travels at $44$ km/h with the windows ... (round off to two decimal places), is ____ km/h (The density of air and the frontal area may be assumed to be constant).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 45
Three sets parallel plates LM, NR and PQ are given in Figures 1, 2 and 3. The view factor $F_{IJ}$ is defined as the fraction of radiation leaving plate $I$ that is intercepted by plate $J$. Assume that the values of $F_{LM}$ and $F_{NR}$ are $0.8$ and $0.4$, respectively. The value of $F_{PQ}$ (round off to two decimal place) is _______
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 46
Hot cold fluids enter a parallel flow double tube heat exchanger at $100^{\circ}C$ and $15^{\circ} C$, respectively. The heat capacity rates of hot and fluids are $C_h=2000 \: W/K$ and $C_c =1200 \: W/K$, respectively. If the outlet temperature of ... $45^{\circ} C$, the log mean temperature difference (LMTD) of the heat exchanger is _______ $K$ (round off to two decimal places).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 47
Water flowing at the rate of $1$ kg/s through a system is heated using an electric heater such that the specific enthalpy of the water increases by $2.50 \: kJ/kg$ and the specific entropy increases by $0.007 \: kJ/kg \cdot K$. The power input ... Assuming an ambient temperature of $300 \: K$, the irreversibility rate of the system is ______ $kW$ (round off to two decimal places).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 48
An idealized centrifugal pump (blade outer radius of $50 \: mm$) consumes $2 \: kQ$ power while running at $3000 \: rpm$. The entry of the liquid into the pump is axial and exit from the pump is radial with respect to impeller. The losses are neglected, then the mass flow rate of the liquid through the pump is _______ $kg/s$ (round off to two decimal places)
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 49
An air standard Otto cycle has thermal efficiency of $0.5$ and the mean effective pressure of the cycle is $1000 \: kPa$. For air, assume specific heat ratio $\gamma=1.4$ and specific gas constant $R=0.287 \: kJ/kg \cdot K$. If the pressure and ... $300 \: K$, respectively, then the specific net work output of the cycle is _____ $kJ/kg $ (round off to two decimal places).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 50
The figure shows a pouring arrangement for casting of a metal block. Frictional losses are negligible. The acceleration due to gravity is $9.81 \: m/s^2$ .The time (in $s$, round off to two decimal places) to fill up the mold cavity (of size $40 \: cm \times 30 \: cm \times 15 \: cm) is _____
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 51
A gas tungsten arc welding operation is performed using a current of $250 \: A$ and an arc voltage if $20 \: V$ at a welding speed of $5 \: mm/s$. Assuming that the arc efficiency is $70 \%$, the net heat input per unit length of the weld will be ____$kJ/mm$ (round off to one decimal place)
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 52
The thickness of a sheet is reduced by rolling (without any change in width) using $600 \: mm$ diameter rolls. Neglect elastic deflection of the rolls and assume that the coefficient of friction at the rollworkpiece interface is $0.05$. The sheet enters the ... final thickness that can be produced by this process in a single pass is ______ $mm$ (round off to two decimal places).
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 53
A through hole is drilled in an aluminium alloy plate of $15 \: mm$ thickness with a drill bit of diameter $10$ mm, at a feed of $0.25$ mm/rev and a spindle speed of $1200$ rpm. If the specific energy required for cutting this material is $0.7 \: N \cdot m/mm^3$, the power required for drilling is _____$W$ (round off to two decimal places)
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 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 chiptool interface is _______ (round off to two decimal places).
asked
Feb 9
in
Computer Integrated Manufacturing
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 55
The annual demand of valves per year in a company is 10,000 units. The current order quantity is 400 valves per order. The holding cost is Rs. 24 per valve per year and the ordering cost is Rs. 400 per order. If the current order quantity is ... Order Quantity, then the saving in the total cost of inventory per year will be Rs. __________ (round off to two decimal places).
asked
Feb 9
in
Inventory Control
by
Arjun
(
21.2k
points)
gate2019me2
numericalanswers
0
votes
1
answer
GATE2019 ME1: GA1
John Thomas, an _____ writer, passed away in 2018. imminent prominent eminent dominant
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
GATE2019 ME1: GA2
____I permitted him to leave, I wouldn’t have had any problem with him being absent, ____ I? Had, wouldn’t Have, would Had, would Have, wouldn’t
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
verbalability
englishgrammar
0
votes
0
answers
GATE2019 ME1: GA3
A worker noticed that the hour hand on the factory clock had moved by $225$ degrees during her stay at the factory. For how long did she stay in the factory? $3.75$ hours $4$ hours and $15$ mins $8.5$ hours $7.5$ hours
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
numericalability
clocktime
0
votes
1
answer
GATE2019 ME1: GA4
The sum and product of two integers are $26$ and $165$ respectively. The difference between these two integers is ______ $2$ $3$ $4$ $6$
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
numericalability
numericcomputation
0
votes
0
answers
GATE2019 ME1: GA5
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
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
verbalability
mostappropriateword
0
votes
0
answers
GATE2019 ME1: GA6
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 ... following could be that statement? I did not commit the crime I committed the crime I will be shot You committed the crime
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
verbalability
verbalreasoning
0
votes
0
answers
GATE2019 ME1: GA7
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 the profit percentages are interchanged with these investments he would have got Rs. $120$ less. Find the ratio between his investments in the two schemes. $9:16$ $11:14$ $37:63$ $47:53$
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
numericalability
ratioproportion
profitloss
0
votes
0
answers
GATE2019 ME1: GA8
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, ... names was prevented by the Portuguese As a dictator Mobuto ordered the Portuguese to alter the name of the river to Zaire
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
verbalability
passagereading
0
votes
0
answers
GATE2019 ME1: GA9
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 $2010$ ... $2010$ to $2016$, how many employees were there at skill level T in $2016$? $30$ $35$ $60$ $72$
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
numericalability
datainterpretation
0
votes
0
answers
GATE2019 ME1: GA10
$M$ 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 $P$
asked
Feb 9
in
General Aptitude
by
Arjun
(
21.2k
points)
gate2019me1
generalaptitude
numericalability
agerelation
0
votes
1
answer
GATE2019 ME1: 1
Consider the matrix $P=\begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ The number of distinct eigenvalues $0$ $1$ $2$ $3$
asked
Feb 9
in
Linear Algebra
by
Arjun
(
21.2k
points)
gate2019me1
0
votes
0
answers
GATE2019 ME1: 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 xaxis is $\frac{\pi}{4}$ $\frac{\pi}{2}$ ${\pi}$ $2 \pi$
asked
Feb 9
in
Others
by
Arjun
(
21.2k
points)
gate2019me1
0
votes
1
answer
GATE2019 ME1: 3
For the equation $\frac{dy}{dx}+7x^2y=0$, if $y(0)=3/7$, then the value of $y(1)$ is $\frac{7}{3}e^{7/3}$ $\frac{7}{3}e^{3/7}$ $\frac{3}{7}e^{7/3}$ $\frac{3}{7}e^{3/7}$
asked
Feb 9
in
Others
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Arjun
(
21.2k
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gate2019me1
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