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Recent questions in Applied Mechanics and Design

#1
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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 ... diagram (FBD) of the roller when the roller is just about to climb over the step.
#2
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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$3$
#3
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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$4$
#4
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GATE2020-ME-2: 9
The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, iselectrochemical machiningelectrical discharge machiningultrasonic machiningabrasive jet machining
#5
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GATE2020-ME-2: 10
Two plates, each of $6$ mm thickness, are to be butt-welded. Consider the following processes and select the correct sequence in increasing order of size of the heat affected zone.Arc weldingMIG ... $3-4-2-1$4-3-2-1$3-2-4-1$
#6
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GATE2020-ME-1: 5
The members carrying zero force (i.e. zero-force members) in the truss shown in the figure, for any load $P > 0$ with no appreciable deformation of the truss (i.e.with no ... $DE$ only$BF, DH, GC, FG$ and $GH$ only
#7
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GATE2020-ME-1: 6
A single-degree-of-freedom oscillator is subjected to harmonic excitation $F(t) = F_{0}\cos(\omega t)$ as shown in the figure. The non-zero value of $\omega$, for ... $2\sqrt{\dfrac{k}{m}}$
#8
0 answers
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GATE2020-ME-1: 7
The stress state at a point in a material under plane stress condition is equi-biaxial tension with a magnitude of $10\: MPa$. If one unit on the $\sigma -\tau$ ... planea point on the $\tau$ axis at a distance of $10$ units from the origin
#9
0 answers
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GATE2020-ME-1: 8
A four bar mechanism is shown below. For the mechanism to be a crank-rocker mechanism, the length of the link $PQ$ can be$80\: mm$200\: mm$300\: mm$350\: mm$
#10
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GATE2020-ME-1: 9
A helical gear with $20^{\circ}$ pressure angle and $30^{\circ}$ helix angle mounted at the mid-span of a shaft that is supported between two ... due to torsionnormal stress due to bending in two planes; shear stress due to torsion
#11
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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 $. If the energy fluctuation in the flywheel between ... flywheel is____________$kg \cdot m^{2}$ (rounded off to $2$ decimal places).
#12
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GATE2020-ME-1: 21
A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of $10\:\text{grams}$, attached to four points on the $100\: mm$ ... unbalance force on the rotor is ________$N$ (rounded off to $2$ decimal places).
#13
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GATE2020-ME-1: 28
Bars of square and circular cross-section with $0.5\: m$ length are made of a material with shear strength of $20\: MPa$ ... theory?Tensile and compressive load specimensTorsional load specimenBending load specimenNone of the specimens
#14
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GATE2020-ME-1: 29
The $2$ kg block shown in the figure (top view) rests on a smooth horizontal surface and is attached to a massless elastic cord that has a stiffness $5\: N/m$. ... $ is$0.83$1.07$1.36$1.50$
#15
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GATE2020-ME-1: 30
The truss shown in the figure has four members of length $\text{l}$ and flexural rigidity $\text{EI}$, and one member of length $l\sqrt{2}$ and flexural rigidity $\text{4EI}$. The truss ... 2\pi ^{2}EI}{l^{2}} \\$\dfrac{\pi ^{2}EI}{2l^{2}}$
#16
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GATE2020-ME-1: 31
A rigid mass-less rod of length $L$ is connected to a disc (pulley) of mass $m$ and radius $r = L/4$ through a friction-less revolute joint. The other end of that rod is ... $\sqrt{\dfrac{k}{m}}$
#17
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GATE2020-ME-1: 37
In a disc-type axial clutch, the frictional contact takes place within an annular region with outer and inner diameters $250\:mm$ and $50\:mm$, respectively. An axial force ... $F_{1}/F_{2}$ is _________ (round off to $2$ decimal places).
#18
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GATE2020-ME-1: 38
A cam with a translating flat-face follower is desired to have the follower motion ... The minimum permissible base circle radius is _________$mm$ (round off to one decimal place).
#19
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GATE2020-ME-1: 39
A rectangular steel bar of length $500\: mm$, width $100\: mm$, and thickness $15\: mm$ is cantilevered to a $200\: mm$ steel channel using $4$ bolts, as ... shear load on the bolt at $B$, is _______$kN$ (round off to one decimal place).
#20
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GATE2020-ME-1: 40
The barrier shown between two water tanks of unit width $(1\: m)$ ... in the cantilever is _________$kN\cdot m$ (round off to the nearest integer).
#21
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GATE2020-ME-1: 41
The magnitude of reaction force at joint $C$ of the hinge-beam shown in the figure is __________$kN$ (round off to $2$ decimal places).
#22
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GATE2019 ME-2: 5
A rigid triangular body, PQR, with sides of equal length of $1$ unit moves on a flat plane. At the instant shown, edge QR is parallel to the $x$-axis, and the ... $2V_P$V_R/\sqrt{3}$V_P/\sqrt{3}$
#23
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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 ... $(0.5, - 0.5)$
#24
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GATE2019 ME-2: 7
A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\dfrac{\pi D}{T} \\$\dfrac{T}{D} \\$\dfrac{D}{T} \\$\dfrac{2 \pi D}{T}$
#25
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GATE2019 ME-2: 8
Endurance limit of a beam subjected to pure bending decreases withdecrease in the surface roughness and decrease in the size of the beamincrease in the surface ... beamdecrease in the surface roughness and increase in the size of the beam
#26
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GATE2019 ME-2: 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
#27
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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. ... The magnitude of the shear stress on the same plane at the same point is _______ MPa
#28
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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. ... wire is $100$ GPa. The maximum tensile stress developed in the wire is ______ MPa
#29
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GATE2019 ME-2: 29
A ball of mass $3$ kg moving with a velocity of $4 \:m/s$ undergoes a perfectly-elastic direct-central impact with a stationary ball of mass $m$. After the impact is over, the ... are$1$ kg only$6$ kg only$1$ kg, $6$ kg$1$ kg, $9$ kg
#30
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GATE2019 ME-2: 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. ...
#31
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GATE2019 ME-2: 31
A prismatic, straight, elastic, cantilever beam is subjected to a linearly distributed transverse load as shown below. If the beam length is $L$, Young's modulus $E$, and area moment ... $\dfrac{qL^4}{60EI}$
#32
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GATE2019 ME-2: 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 ... $ should be$2$4$2 \sqrt{7}$4 \sqrt{7}$
#33
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GATE2019 ME-2: 36
The crank of a slider-crank mechanism rotates counter-clockwise (CCW) with a constant angular velocity $\omega$, as shown. Assume the length of the crank to be $r$.Using exact ... $2 \omega ^2r$\omega ^2r$-2 \omega ^2r$
#34
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GATE2019 ME-2: 37
A horizontal cantilever beam of circular cross-section, length $1.0$ m and flexural rigidity $EI=200 \: N \cdot m^2$ ... vertical deflection of the free end is ______ mm (round off to one decimal place).
#35
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GATE2019 ME-2: 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 ... at a radius of $200$ mm is _________ kg (round off to two decimal places).
#36
1 answers
0 votes
GATE2019 ME-2: 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 ... is _________ (round off to two decimal places).
#37
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GATE2019 ME-2: 41
A uniform disc with radius $r$ and a mass $m$ kg is mounted centrally on a horizontal axle of negligible mass and length of $1.5r$. The ... ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is ______
#38
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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 $a=1000 \: mm, \: b=500 \: mm$ ... braking torque on the drum is ______ $N \cdot m$ (round off to two decimal places).
#39
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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 ... $F_{PQ}$ (round off to one decimal place) is ____________
#40
0 answers
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GATE2019 ME-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 $y(0)=0$, ... $e \sin 2 \omega t$
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