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GATE2016-1-48
A hypothetical engineering stress-strain curve shown in the figure has three straight lines $PQ, QR, RS$ with coordinates P$(0,0)$, Q$(0.2,100)$, R$(0.6,140)$ and S$(0.8,130)$. $'Q'$ is the yield point, $'R'$ is the UTS point and $'S'$ the fracture point. The toughness of the material (in $MJ/m^3$) is __________

A hypothetical engineering stress-strain curve shown in the figure has three straight lines $PQ, QR, RS$ with coordinates P$(0,0)$, Q$(0.2,100)$, R$(0.6,140)$ and S$(0.8,...

Arjun

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GATE Mechanical 2014 Set 2 | Question: 9
In vibration isolation, which one of the following statements is NOT correct regarding Transmissibility (T)? T is nearly unity at small excitation frequencies T can be always reduced by using higher damping at any excitation frequency T is unity at the frequency ratio of $\sqrt{2}$ T is infinity at resonance for undamped systems

In vibration isolation, which one of the following statements is NOT correct regarding Transmissibility (T)?T is nearly unity at small excitation frequenciesT can be alwa...

Arjun

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Arjun asked Feb 19, 2017

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GATE2019 ME-2: 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 anti-clockwise. The braking torque on the drum is ______ $N \cdot m$ (round off to two decimal places).

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 $c=200 \: mm$. T...

Arjun

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GATE2020-ME-2: 5
An attempt is made to pull a roller of weight $W$ over a curb (step) by applying a horizontal force $F$ as shown in the figure. The coefficient of static friction between the roller and the ground (including the edge of the step) is $\mu$ Identify the correct free body diagram (FBD) of the roller when the roller is just about to climb over the step.

An attempt is made to pull a roller of weight $W$ over a curb (step) by applying a horizontal force $F$ as shown in the figure. The coefficient of static friction between...

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GATE Mechanical 2014 Set 4 | Question: 33
It is desired to avoid interference in a pair of spur gears having a $20^{\circ}$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth on the pinion increases decreases first increases and then decreases remains unchanged

It is desired to avoid interference in a pair of spur gears having a $20^{\circ}$ pressure angle. With increase in pinion to gear speed ratio, the minimum number of teeth...

Arjun

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GATE ME 2012 | Question: 33
A concentrated mass $m$ is attached at the centre of the rod of length $2L$ as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness $k$. For every small amplitude of vibration, neglecting the weights of the rod and spring, the undamped ... $\sqrt{\dfrac{2k}{m}} \\$ $\sqrt{\dfrac{k}{2m}} \\$ $\sqrt{\dfrac{4k}{m}}$

A concentrated mass $m$ is attached at the centre of the rod of length $2L$ as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of st...

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GATE Mechanical 2014 Set 1 | Question: 36
A slider crank mechanism has slider mass of $10$ kg, stroke of $0.2$ m and rotates with a uniform angular velocity of $10$ rad/s. The primary inertia forces of the slider are partially balanced by a revolving mass of $6$ kg at the ... angle (with respect to slider axis) is $30^\circ$, the unbalanced force (in newton) normal to the slider axis is _____

A slider crank mechanism has slider mass of $10$ kg, stroke of $0.2$ m and rotates with a uniform angular velocity of $10$ rad/s. The primary inertia forces of the slider...

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GATE2018-1-50
A bar is compressed to half to its original length. The magnitude of true strain produced in the deformed bar is __________ (correct to two decimal places)

A bar is compressed to half to its original length. The magnitude of true strain produced in the deformed bar is __________ (correct to two decimal places)

Arjun

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GATE Mechanical 2014 Set 1 | Question: 45
In a simple concentric shaft-bearing arrangement, the lubricant flows in the $2$ $mm$ gap between the shaft and the bearing. The flow may be assumed to be a plane Couette flow with zero pressure gradient. The diameter of the shaft is $100$ $mm$ and ... $0.1$ $kg/m.s$. The frictional resisting force (in newton) per $100$ $mm$ length of the bearing is _______

In a simple concentric shaft-bearing arrangement, the lubricant flows in the $2$ $mm$ gap between the shaft and the bearing. The flow may be assumed to be a plane Couette...

Arjun

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GATE Mechanical 2014 Set 1 | Question: 33
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length $0.01$ $m$. The frequency of vibration of the beam, with a $0.5$ $kg$ mass attached at the free tip, is $100$ $Hz$. The flexural rigidity (in $N$.$m^2$) of the beam is _______

Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length $0.01$ $m$. The frequency of vibration of the beam, with a $0.5$ $kg$ mass a...

Arjun

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GATE2017 ME-2: 36
A single-plate clutch has a friction disc with inner and outer radii of $20$ mm and $40$ mm, respectively. The friction lining in the disc is made in such a way that the coefficient of friction $\mu$ varies radially as $\mu=0.01r$, where $r$ is in ... to transmit a friction torque of $18.85$ kN.mm. As per uniform pressure theory, the pressure (in MPa) on the disc is ________.

A single-plate clutch has a friction disc with inner and outer radii of $20$ mm and $40$ mm, respectively. The friction lining in the disc is made in such a way that the ...

Arjun

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GATE Mechanical 2014 Set 4 | Question: 38
Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______

Torque and angular speed data over one cycle for a shaft carrying a flywheel are shown in the figures. The moment of inertia (in $kg.m^2$) of the flywheel is _______

Arjun

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GATE2020-ME-2: 7
The equation of motion of a spring-mass-damper system is given by $\dfrac{d^2x}{dt^2}+3 \dfrac{dx}{dt} +9x = 10 \sin(5t)$ The damping factor for the system is $0.25$ $0.5$ $2$ $3$

The equation of motion of a spring-mass-damper system is given by $$\dfrac{d^2x}{dt^2}+3 \dfrac{dx}{dt} +9x = 10 \sin(5t)$$The damping factor for the system is$0.25$$0.5$...

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GATE2020-ME-1: 20
A flywheel is attached to an engine to keep its rotational speed between $100\: rad/s$ and $110\: rad/s $. If the energy fluctuation in the flywheel between these two speeds is $1.05\: kJ$ then the moment of inertia of the flywheel is____________$kg \cdot m^{2}$ (rounded off to $2$ decimal places).

A flywheel is attached to an engine to keep its rotational speed between $100\: rad/s$ and $110\: rad/s $. If the energy fluctuation in the flywheel between these two sp...

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GATE2015-1-19
Which one of the following is the most conservative fatigue failure criterion? Soderberg Modified Goodman ASME Elliptic Gerber

Which one of the following is the most conservative fatigue failure criterion?SoderbergModified GoodmanASME EllipticGerber

Arjun

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GATE2019 ME-2: 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 passing 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

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 passing...

Arjun

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GATE2018-2-38
A bar is subjected to a combination of a steady load of $60 \: kN$ and a load fluctuating between $-10 \: kN$ and $90 \: kN$. The corrected endurance limit of the bar is $150 \: MPa$, the yield strength of the material is $480 \: MPa$ and the ... safety is $2$, the value of $a$ (in $mm$), according to the modified Goodman's criterion, is _____ (correct to two decimal places).

A bar is subjected to a combination of a steady load of $60 \: kN$ and a load fluctuating between $-10 \: kN$ and $90 \: kN$. The corrected endurance limit of the bar is ...

Arjun

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GATE2018-1-31
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 fails is Criterion 1: the maximum normal stress exceeds $2.5$ MPa Criterion 2: the ... fails only because of criterion $1$ fails only because of criterion $2$ fails because of both criterion $1$ and $2$ does not fail

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 ...

Arjun

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GATE2018-1-17
The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are $3, 3$ $3, 12$ $4, 12$ $4, 48$

The number of atoms per unit cell and the number of slip systems, respectively, for a face-centered cubic (FCC) crystal are$3, 3$$3, 12$$4, 12$$4, 48$

Arjun

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GATE2019 ME-2: 6
Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of $100$ MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young's modulus $E=200$ MPa and Poisson's ratio $v=0.3$ are given. The principal strains in the ... are $(0.35, - 0.15)$ $(0.5, 0.0)$ $(0.5, - 0.15)$ $(0.5, - 0.5)$

Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of $100$ MPa along the length direction. Assume plane stress condi...

Arjun

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GATE ME 2013 | Question: 49
A single riveted lap joint of two similar plates as shown in the figure below has the following geometrical and material details. width of the plate w = $200$ $mm$, thickness of the plate $t$ = $5$ $mm$, number of rivets $n$ = $3$, diameter of the ... plates are to be designed to avoid tearing failure, the maximum permissible load $P$ in $kN$ is $83$ $125$ $167$ $501$

A single riveted lap joint of two similar plates as shown in the figure below has the following geometrical and material details.width of the plate w = $200$ $mm$, thickn...

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GATE2020-ME-2: 8
The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is $1$ $2$ $3$ $4$

The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is$1$$2$$3$$4$

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GATE2019 ME-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 $R$-ratio (minimum stress to maximum stress) for this cyclic loading is _____ (round off to one decimal place)

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 $R$-ratio (m...

Arjun

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GATE2018-2-37
A thin-walled cylindrical can with rigid end caps has a mean radius $R=100\:mm$ and a wall thickness of $t=5 \: mm$. The can is pressurized and an additional tensile stress of a $50 \: MPa$ is imposed along the axial direction as shown in ... circumferential components of stress in the can are equal, the pressure (in $MPa$) inside the can is ___________ (correct to two decimal places)

A thin-walled cylindrical can with rigid end caps has a mean radius $R=100\:mm$ and a wall thickness of $t=5 \: mm$. The can is pressurized and an additional tensile stre...

Arjun

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GATE2019 ME-2: 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 one decimal place) is ____________

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 $I$ t...

Arjun

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Arjun asked Feb 9, 2019

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GATE2018-1-29
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 $\sigma_y$ (in kPa) is $9.45$ $18.88$ $37.78$ $75.50$

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 $\sigma_y$ (...

Arjun

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GATE2015-1-38
Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is $\sqrt{\dfrac{400}{1}} \\$ $\sqrt{\dfrac{400}{2}} \\$ $\sqrt{\dfrac{400}{3}} \\$ $\sqrt{\dfrac{400}{4}} $

Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is$\sqrt{\dfrac{400}{1}} \\$$\sqr...

Arjun

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Arjun asked Feb 24, 2017

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GATE2018-2-31
A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment $T=150 \: Nm$ is applied at a distance of $100 \: mm$ from end $P$. The torsional reactions $(T_P, T_Q)$ in $Nm$ at ends $P$ and $Q$ respectively are $(50, 100)$ $(75, 75)$ $(100, 75)$ $(120, 30)$

A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment $T=150 \: Nm$ is applied at a distance of $100 \: mm$ from end $P$. ...

Arjun

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GATE2018-1-11
In a linearly hardening plastic material, the true stress beyond initial yielding increases linearly with the true strain decreases linearly with the true strain first increases linearly and then decreases linearly with the true strain remains constant

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

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GATE2018-2-7
In a single degree of freedom underdamped spring-mass-damper system as shown in the figure, an additional damper is added in parallel such that the system still remains underdamped. Which one of the following statements is ALWAYS ... will increase Transmissibility will decrease Time period of free oscillations will increase Time period of free oscillations will decrease

In a single degree of freedom underdamped spring-mass-damper system as shown in the figure, an additional damper is added in parallel such that the system still remains u...

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GATE2019 ME-2: 22
A wire of circular cross-section 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

A wire of circular cross-section 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 mod...

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GATE2018-1-5
A bar of uniform cross section and weighing $100 \:N$ is held horizontally using two massless and inextensible strings $S1$ and $S2$ as shown in the figure The tensions in the strings are $T_1=100 \: N \text{ and } T_2=0 \: N$ $T_1=0 \: N \text{ and } T_2=100 \: N$ $T_1=75 \: N \text{ and } T_2=25 \: N$ $T_1=25 \: N \text{ and } T_2=75 \: N$

A bar of uniform cross section and weighing $100 \:N$ is held horizontally using two massless and inextensible strings $S1$ and $S2$ as shown in the figureThe tensions in...

Arjun

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GATE ME 2012 | Question: 32
A fillet welded joint is subjected to transverse loading $F$ as shown in the figure. Both legs of the fillets are of $10$ mm size and the weld length is $30$ mm. If the allowable shear stress of the weld is $94$ MPa, considering the minimum throat area of the weld, the maximum allowable transverse load in kN is $14.44$ $17.92$ $19.93$ $22.16$

A fillet welded joint is subjected to transverse loading $F$ as shown in the figure. Both legs of the fillets are of $10$ mm size and the weld length is $30$ mm. If the a...

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GATE Mechanical 2014 Set 1 | Question: 24
The process of reheating the martensitic steel to reduce its brittleness without any significant loss in its hardness is normalising annealing quenching tempering

The process of reheating the martensitic steel to reduce its brittleness without any significant loss in its hardness isnormalisingannealingquenchingtempering

Arjun

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GATE2018-1-20
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 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 _________...

Arjun

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GATE2017 ME-1: 46
A thin uniform rigid bar of Length $L$ and mass $M$ is hinged at point $O$, located at a distance of $\dfrac{L}{3}$ from one of its ends. The bar is further supported using springs, each of stiffness $k$, located at the two ends. A particle of mass $m=\dfrac{M}{4}$ is fixed at ... $\sqrt{\dfrac{5k}{2M}} \\$ $\sqrt{\dfrac{3k}{2M}} \\$ $\sqrt{\dfrac{3k}{M}}$

A thin uniform rigid bar of Length $L$ and mass $M$ is hinged at point $O$, located at a distance of $\dfrac{L}{3}$ from one of its ends. The bar is further supported usi...

Arjun

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GATE2016-3-32
A rigid rod $(AB)$ of length $L=\sqrt{2} \: m$ is undergoing translational as well as rotational motion in the $x-y$ plane (see the figure). The point $A$ has the velocity $V_1=\hat{i}+2\hat{j} \: m/s$. The end B is constrained to move only along the $x$ direction. The magnitude of the velocity $V_2$ (in $m/s$) at the end B is __________

A rigid rod $(AB)$ of length $L=\sqrt{2} \: m$ is undergoing translational as well as rotational motion in the $x-y$ plane (see the figure). The point $A$ has the velocit...

Arjun

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GATE2018-2-20
A hollow circular shaft of inner radius $10 \: mm$ outer radius $20 \: mm$ length $1 \: m$ is to be used as a torsional spring. If the shear modulus of the material of the shaft is $150 \: GPa$, the torsional stiffness of the shaft (in $kN-m/rad$) is ________ (correct to two decimal places).

A hollow circular shaft of inner radius $10 \: mm$ outer radius $20 \: mm$ length $1 \: m$ is to be used as a torsional spring. If the shear modulus of the material of th...

Arjun

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GATE2018-1-21
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)

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)

Arjun

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GATE2019 ME-1: 39
Consider an elastic straight beam of length $L= 10 \pi \: m$, with square cross-section 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 ... $MPa$.

Consider an elastic straight beam of length $L= 10 \pi \: m$, with square cross-section of side $a=5 \: mm$, and Young’s modulus $E=200 \: GPa$. This straight beam was ...

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Arjun asked Feb 9, 2019