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Recent questions in Applied Mechanics and Design
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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.
go_editor
asked
in
Engineering Mechanics
Sep 18, 2020
by
go_editor
5.0k
points
gateme-2020-set2
free-body-diagrams
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
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 $0.25$ $0.5$ $2$ $3$
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asked
in
Vibrations
Sep 18, 2020
by
go_editor
5.0k
points
gateme-2020-set2
effect-of-damping
vibrations
applied-mechanics-and-design
0
answers
0
votes
GATE2020-ME-2: 8
The number of qualitatively distinct kinematic inversions possible for a Grashof chain with four revolute pairs is $1$ $2$ $3$ $4$
go_editor
asked
in
Engineering Mechanics
Sep 18, 2020
by
go_editor
5.0k
points
gateme-2020-set2
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE2020-ME-2: 9
The process, that uses a tapered horn to amplify and focus the mechanical energy for machining of glass, is electrochemical machining electrical discharge machining ultrasonic machining abrasive jet machining
go_editor
asked
in
Mechanics of Materials
Sep 18, 2020
by
go_editor
5.0k
points
gateme-2020-set2
energy-methods
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
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 welding MIG welding Laser beam welding Submerged arc welding $1-4-2-3$ $3-4-2-1$ $4-3-2-1$ $3-2-4-1$
go_editor
asked
in
Machine Design
Sep 18, 2020
by
go_editor
5.0k
points
gateme-2020-set2
machine-design
applied-mechanics-and-design
0
answers
0
votes
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 appreciable change in angles between the members), are $BF$ and $DH$ only $BF, DH,$ and $GC$ only $BF, DH, GC, CD$ and $DE$ only $BF, DH, GC, FG$ and $GH$ only
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
trusses
0
answers
0
votes
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 which the amplitude of the force transmitted to the ground will be $F_{0}$, is $\sqrt{\dfrac{k}{2m}} \\$ $\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{2k}{m}} \\$ $2\sqrt{\dfrac{k}{m}}$
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
engineering-mechanics
0
answers
0
votes
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 $\sigma -\tau$ plane is $1\: MPa$, the Mohr's circle representation of the state-of-stress is given by a circle with a ... of $10$ units on the $\sigma -\tau$ plane a point on the $\tau$ axis at a distance of $10$ units from the origin
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
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 $80\: mm$ $200\: mm$ $300\: mm$ $350\: mm$
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
theory-of-machines
dynamic-analysis-of-linkages
0
answers
0
votes
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 bearings at the ends. The nature of the stresses induced in the shaft is normal stress due to bending ... in two planes and axial loading; shear stress due to torsion normal stress due to bending in two planes; shear stress due to torsion
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
0
answers
0
votes
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).
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
applied-mechanics-and-design
theory-of-machines
flywheels-and-governors
0
answers
0
votes
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 $100\: mm$ radius circle shown in the figure. The rotor is driven bt a motor at uniform angular speed of ... gets detached then the magnitude of the resultant unbalance force on the rotor is ________$N$ (rounded off to $2$ decimal places).
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
theory-of-mechanics
applied-mechanics-and-design
0
answers
0
votes
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 $20\: MPa$. The square bar cross-section dimension is $4\:cm \times$ $4\:cm$ and the cylindrical bar cross- ... the applied load as per maximum shear stress theory? Tensile and compressive load specimens Torsional load specimen Bending load specimen None of the specimens
go_editor
asked
in
Mechanics of Materials
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
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 $5\: N/m$. The cord hinged at $\text{O}$ is initially unstretched and always remains elastic. The block is given a velocity $v$ ... $0.4\: m$ is $0.83$ $1.07$ $1.36$ $1.50$
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
mechanics-of-materials
0
answers
0
votes
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 is loaded by a pair of forces of magnitude $\text{P}$ ... $\dfrac{2\pi ^{2}EI}{l^{2}} \\$ $\dfrac{\pi ^{2}EI}{2l^{2}}$
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
engineering-mechanics
trusses
0
answers
0
votes
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 attached to a wall through a friction-less hinge. A spring of stiffness $2k$ is attached to the rod at its mid-span ... $\sqrt{3}\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{k}{m}}$
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
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 $F_{1}$ is needed to transmit a torque by a new clutch. However, to transmit the same ... coefficient of friction does not change, then the ratio $F_{1}/F_{2}$ is _________ (round off to $2$ decimal places).
go_editor
asked
in
Machine Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
brakes-and-clutches
machine-design
applied-mechanics-and-design
0
answers
0
votes
GATE2020-ME-1: 38
A cam with a translating flat-face follower is desired to have the follower motion $y\left ( \theta \right )=4\left [ 2\pi \theta -\theta ^{2} \right ],\:\:\:0\leq \theta \leq 2\pi .$ Contact stress considerations dictate that the radius ... should not be less than $40\:mm$ anywhere. The minimum permissible base circle radius is _________$mm$ (round off to one decimal place).
go_editor
asked
in
Mechanics of Materials
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
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 shown For an external load of $10\: kN$ applied at the tip of the steel bar, the resultant shear load on the bolt at $B$, is _______$kN$ (round off to one decimal place).
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
0
answers
0
votes
GATE2020-ME-1: 40
The barrier shown between two water tanks of unit width $(1\: m)$ into the plane of the screen in modeled as a cantilever. Taking the density of water as $1000\:kg/m^{3}$ , and the acceleration due to gravity as $10\:m/s^{2}$ , the maximum absolute bending moment developed in the cantilever is _________$kN\cdot m$ (round off to the nearest integer).
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
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).
go_editor
asked
in
Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
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 body moves such that velocities of points P and R are $V_P$ and $V_R$, in the $x$ and $y$ directions, respectively. The magnitude of the angular velocity of the body is $2V_R$ $2V_P$ $V_R/\sqrt{3}$ $V_P/\sqrt{3}$
Arjun
asked
in
Theory of Machines
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
theory-of-machines
applied-mechanics-and-design
0
answers
0
votes
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 $(0.35, - 0.15)$ $(0.5, 0.0)$ $(0.5, - 0.15)$ $(0.5, - 0.5)$
Arjun
asked
in
Mechanics of Materials
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
GATE2019 ME-2: 7
A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\dfrac{\pi D}{T} \\$ $\dfrac{T}{D} \\$ $\dfrac{D}{T} \\$ $\dfrac{2 \pi D}{T}$
Arjun
asked
in
Machine Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
gears
machine-design
applied-mechanics-and-design
0
answers
0
votes
GATE2019 ME-2: 8
Endurance limit of a beam subjected to pure bending decreases with decrease in the surface roughness and decrease in the size of the beam increase in the surface roughness and decrease in the size of the beam increase in the surface roughness and increase in the size of the beam decrease in the surface roughness and increase in the size of the beam
Arjun
asked
in
Mechanics of Materials
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
deflection-of-beams
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
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
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
engineering-mechanics
trusses
0
answers
0
votes
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
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
stress-strain
0
answers
0
votes
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
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
0
answers
0
votes
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 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
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
applied-mechanics-and-design
mechanics-of-materials
elastic-constants
0
answers
0
votes
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. The composite cylinder is subjected to internal pressure $P$. Let $(u_r^M, u_{\theta}^M)$ ... $\sigma_{rr}^M = \sigma_{rr}^N \text{ and } \sigma_{\theta \theta}^M = \sigma_{\theta \theta}^N$
Arjun
asked
in
Mechanics of Materials
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
thin-cylinders
mechanics-of-materials
applied-mechanics-and-design
0
answers
0
votes
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 of inertia $I$, the magnitude of the maximum deflection is $\dfrac{qL^4}{15EI} \\$ $\dfrac{qL^4}{30EI} \\$ $\dfrac{qL^4}{10EI} \\$ $\dfrac{qL^4}{60EI}$
Arjun
asked
in
Mechanics of Materials
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
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 figure. For the system to be critically damped, the ratio $c/\sqrt{km}$ should be $2$ $4$ $2 \sqrt{7}$ $4 \sqrt{7}$
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
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 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 $- \omega ^2r$ $2 \omega ^2r$ $\omega ^2r$ $-2 \omega ^2r$
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
applied-mechanics-and-design
theory-of-machines
0
answers
0
votes
GATE2019 ME-2: 37
A horizontal cantilever beam of circular cross-section, length $1.0$ m and flexural rigidity $EI=200 \: N \cdot m^2$ 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).
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
0
answers
0
votes
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 axis through O perpendicular to the plane of the figure. The radii of rotation of the masses $m_a$ ... $200$ mm is _________ kg (round off to two decimal places).
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
1
answer
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 $\omega_2$. Length of different links are: $O_2 O_4=O_2A=L,$$AB=O_4B=\sqrt{2}L$ The magnitude of ... $O_2O_4$ as shown. The ratio $\frac{\omega_4}{\omega_2}$ is _________ (round off to two decimal places).
Arjun
asked
in
Theory of Machines
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
theory-of-machines
dynamic-analysis-of-linkages
0
answers
0
votes
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 disc spins counter-clockwise about the axle with angular speed $\omega$, when viewed from the right-hand side bearing, ... $g=10 m/s^2$, the ratio of the larger to the smaller bearing reaction force (considering appropriate signs) is ______
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
machine-design
0
answers
0
votes
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).
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
applied-mechanics-and-design
machine-design
brakes-and-clutches
0
answers
0
votes
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 ____________
Arjun
asked
in
Engineering Mechanics
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
numerical-answers
engineering-mechanics
0
answers
0
votes
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 $y(0)=0$, and the system is in the configuration shown below: The vertical position of the follower face, $(y(t)$ is given by $e \sin \omega t$ $e(1+ \cos 2 \omega t)$ $e(1- \cos \omega t)$ $e \sin 2 \omega t$
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
applied-mechanics-and-design
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