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GATE2019 ME2: 19
If $x$ is the mean of data $3, x, 2$ and $4$, then the mode is _____
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GATE2019 ME2: 20
The figure shows an idealized plane truss. If a horizontal force of $300$ N is applied at point A, then the magnitude of the force produced in member CD is ____ N
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GATE2019 ME2: 21
The state of stress at a point in a component is represented by a Mohr’s circle of radius $100$ MPa centered at $200$ MPa on the thermal stress axis. On a plane plassing through the same point, the normal stress is $260$ MPa. The magnitude of the shear stress on the same plane at the same point is _______ MPa
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GATE2019 ME2: 22
A wire of circular crosssection of diameter $1.0$ mm is bent into a circular arc of radius. $1.0$ m by application of pure bending moments at its ends. The Young’s modulus of the material of the wire is $100$ GPa. The maximum tensile stress developed in the wire is ______ MPa
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GATE2019 ME2: 23
Water enters a circular pipe of length $L=5.0$ m and diameter $D=0.20$m with Reynolds number $Re_D=500$. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit. The Reynolds number at the exit of the pipe is ____
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GATE2019 ME2: 24
A thin vertical flat plate of height $L$, and infinite width perpendicular to the plane of the figure, is losing heat to the surroundings by natural convection. The temperatured of the plate and the surroundings by natural convection. The temperatures of the plate and the ... first plate is $h_1$ and that for the second plate is $h_2$, the value of the raio $h_1/h_2$ is ______
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GATE2019 ME2: 25
In an electrical discharge machining process, the breakdown voltage across inter electrode gap (IEG) is $200$ V and the capacitance of the RC circuit is $50 \mu F$ The energy (in $J$) released per spark across the IEG is ______
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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).
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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).
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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).
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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).
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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 ______
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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).
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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).
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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).
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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 _______
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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).
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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).
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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)
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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).
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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 _____
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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)
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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).
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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)
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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).
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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).
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GATE2019 ME1: 18
Evaluation of $\int_2^4 x^3 dx$ using a $2$equalsegment trapezoidal rule gives a value of _______
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GATE2019 ME1: 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 _____
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GATE2019 ME1: 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).
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GATE2019 ME1: 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 _______
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GATE2019 ME1: 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)
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GATE2019 ME1: 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 ______$m/s^2$
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GATE2019 ME1: 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 ______
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GATE2019 ME1: 25
Consider the stressstrain curve for an ideal elasticplastic strain hardening metal as shown in the figure. The metal was loaded in uniaxial tension starting from $O$. Upon loading, the stressstrain curve passes through initial yield point at $P$, and then ... specimen is reloaded in tension from point $R$, the value of stress at which the material yields again is _______ MPa.
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GATE2019 ME1: 38
A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of $10 \: kN$ is applied at point D. The magnitude of force (in kN) in the member BC is ______
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GATE2019 ME1: 39
Consider an elastic straight beam of length $L= 10 \pi \: m$, with square crosssection of side $a=5 \: mm$, and Young's modulus $E=200 \: GPa$. This straight beam was bent in such a way that the two ends meets, to form a ... $MPa$.
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GATE2019 ME1: 45
Two immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, $2 \: m$ apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant ... fluid, $\mu_1$, then the velocity at the interface (round off to two decimal places) is _______ $m/s$.
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GATE2019 ME1: 46
A cube of side $100 \: mm$ is placed at the bottom of an empty container on one of its faces. The density of the material of the cube is $800 \: kg/m^3$. Liquid of density $1000 \: kg/m^3$ is now poured into the container. The minimum height to which the loquid needs to be poured into the container for the cube to just lift up is ____$mm$.
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GATE2019 ME1: 47
Three slabs are joined together as shown in the figure. There is no thermal contact resistance at the interfaces. The center slab experiences a nonuniform internal heat generation with an average value equal to $10000 \: Wm^{3}$, while the left and right slabs have no ... $T_1$ is measured to be $100^{\circ} C$, the right extreme face temperature $T_2$ is ______$^{\circ} C$.
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GATE2019 ME1: 48
If one mole of $H_2$ has occupies a rigid container with a capacity of $1000$ litres and the temperature is raised from $27^{\circ} C$ to $37^{\circ} C$, the change in pressure of the contained gas (round off to two decimal places), assuming ideal gas behaviour, is _______ Pa. $(R=8.314 \: J/mol \cdot K)$
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