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Recent questions in Applied Mechanics and Design
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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...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
numerical-answers
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 37
An offset slider-crank mechanism is shown in the figure at an instant. Conventionally, the Quick Return Ratio (QRR) is considered to be greater than one. The value of QRR is _______
An offset slider-crank mechanism is shown in the figure at an instant. Conventionally, the Quick Return Ratio (QRR) is considered to be greater than one. The value of QRR...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
numerical-answers
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 38
A rigid uniform rod $AB$ of length $L$ and mass $m$ is hinged at $C$ such that $AC = L/3$, $CB = 2L/3$. Ends $A$ and $B$ are supported by springs of spring constant k. The natural frequency of the system is given by $\sqrt{\dfrac{k}{2m}} \\$ $\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{2k}{m} } \\$ $\sqrt{\dfrac{5k}{m}}$
A rigid uniform rod $AB$ of length $L$ and mass $m$ is hinged at $C$ such that $AC = L/3$, $CB = 2L/3$. Ends $A$ and $B$ are supported by springs of spring constant k. Th...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
applied-mechanics-and-design
rigid-bodies
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–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 39
A hydrodynamic journal bearing is subject to $2000$ N load at a rotational speed of $2000$ rpm. Both bearing bore diameter and length are $40$ mm. If radial clearance is µm and bearing is lubricated with an oil having viscosity $0.03$ $P_{a.s}$, the Sommerfeld number of the bearing is ______
A hydrodynamic journal bearing is subject to $2000$ N load at a rotational speed of $2000$ rpm. Both bearing bore diameter and length are $40$ mm. If radial clearance is ...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
numerical-answers
applied-mechanics-and-design
machine-design
bearings
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–
0
answers
0
votes
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
28.5k
points
Arjun
asked
Feb 19, 2017
Mechanics of Materials
gateme-2014-set1
testing-of-hardness
mechanics-of-materials
applied-mechanics-and-design
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–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 25
In solid-state welding, the contamination layers between the surfaces to be welded are removed by alcohol plastic deformation water jet sand blasting
In solid-state welding, the contamination layers between the surfaces to be welded are removed byalcoholplastic deformationwater jetsand blasting
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
applied-mechanics-and-design
machine-design
rivited-and-welded-joints
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 6
A circular rod of length $'L'$ and area of cross-section $ A'$ has a modulus of elasticity $ E'$ and coefficient of thermal expansion $ \alpha'$. One end of the rod is fixed and other end is free. If the temperature of the rod ... is $ \alpha \Delta T$ stress developed in the rod is $E \alpha \Delta T$ and strain developed in the rod is zero
A circular rod of length $'L'$ and area of cross-section $‘A’$ has a modulus of elasticity $‘E'$ and coefficient of thermal expansion $‘\alpha’$. One end of the...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Mechanics of Materials
gateme-2014-set1
mechanics-of-materials
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 7
A metallic rod of $500$ $mm$ length and $50$ $mm$ diameter, when subjected to a tensile force of $100$ $kN$ at the ends, experiences a n increase in its length by $0.5$ $mm$ and a reduction in its diameter by $0.015$ $mm$. The Poisson’s ratio of the rod material is _______
A metallic rod of $500$ $mm$ length and $50$ $mm$ diameter, when subjected to a tensile force of $100$ $kN$ at the ends, experiences a n increase in its length by $0.5$ $...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
numerical-answers
applied-mechanics-and-design
mechanics-of-materials
poisson's-ratio
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–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 8
Critical damping is the largest amount of damping for which no oscillation occurs in free vibration smallest amount of damping for wh ich no oscillation occurs in free vibration largest amount of damping for which the motion is simple harmonic in f ree vibration smallest amount of dam ping for which the motion is simple harmonic in free vibration
Critical damping is thelargest amount of damping for which no oscillation occurs in free vibrationsmallest amount of damping for wh ich no oscillation occurs in free vibr...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
applied-mechanics-and-design
vibrations
effect-of-damping
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–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 10
For the given statements: Mating spur gear teeth is an example of higher pair A revolute joint is an example of lower pair Indicate the correct answer. Both $I$ and $II$ are false $I$ is true and $II$ is false $I$ is false and $II$ is true Both $I$ and $II$ are true
For the given statements:Mating spur gear teeth is an example of higher pairA revolute joint is an example of lower pairIndicate the correct answer. Both $I$ and $II$ are...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
+
–
0
answers
0
votes
GATE Mechanical 2014 Set 1 | Question: 11
A rigid link $PQ$ is $2$ $m$ long and oriented at $20^\circ$ to the horizontal as shown in the figure. The magnitude and direction of velocity $V_Q$, and the direction of velocity $V_P$ are given. the magnitude of $V_P$ (in $m/s$) a t this instant is $V_Q$=$1 m/s $ $2.14$ $1.89$ $1.21$ $0.96$
A rigid link $PQ$ is $2$ $m$ long and oriented at $20^\circ$ to the horizontal as shown in the figure. The magnitude and direction of velocity $V_Q$, and the direction of...
Arjun
28.5k
points
Arjun
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2014-set1
applied-mechanics-and-design
theory-of-mechanics
+
–
0
answers
0
votes
GATE ME 2013 | Question: 48
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 rivet ... be designed to avoid crushing failure, the maximum permissible load $P$ in $kN$ is $7.50$ $15.00$ $22.50$ $30.00$
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...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
machine-design
rivited-and-welded-joints
+
–
0
answers
0
votes
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...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
machine-design
rivited-and-welded-joints
+
–
0
answers
0
votes
GATE ME 2013 | Question: 31
A flywheel connected to a punching machine has to supply energy of $400 Nm$ while running at a mean angular speed of $20 rad/s$. If the total fluctuation of speed is not to exceed $±2%$, the mass moment of inertia of the flywheel in $kg$-$m^2$ is $25$ $50$ $100$ $125$
A flywheel connected to a punching machine has to supply energy of $400 Nm$ while running at a mean angular speed of $20 rad/s$. If the total fluctuation of speed is not ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
theory-of-machines
flywheels-and-governors
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–
0
answers
0
votes
GATE ME 2013 | Question: 32
A compound gear train with gears $P$, $Q$, $R$ and $S$ has number of teeth $20$, $40$, $15$ and $20$, respectively. Gears $Q$ and $R$ are mounted on the same shaft as shown in the figure below. The diameter of the gear $Q$ is twice that of the gear $R$. ... module of the gear $R$ is $2$ $mm$, the center distance in $mm$ between gears $P$ and $S$ is $40$ $80$ $120$ $160$
A compound gear train with gears $P$, $Q$, $R$ and $S$ has number of teeth $20$, $40$, $15$ and $20$, respectively. Gears $Q$ and $R$ are mounted on the same shaft as sho...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
theory-of-machines
gears-and-gear-trains
+
–
0
answers
0
votes
GATE ME 2013 | Question: 33
A pin jointed uniform rigid rod of weight $W$ and length $L$ is supported horizontally by an external force $F$ as shown in the figure below. The force $F$ is suddenly removed. At the instant of force removal, the magnitude of vertical reaction developed at the support is $\text{zero}$ $W/4$ $W/2$ $W$
A pin jointed uniform rigid rod of weight $W$ and length $L$ is supported horizontally by an external force $F$ as shown in the figure below. The force $F$ is suddenly re...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
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–
0
answers
0
votes
GATE ME 2013 | Question: 39
A single degree of freedom system having mass $1$ $kg$ and stiffness $10$ $kN/m$ initially at rest is subjected to an impulse force of magnitude $5$ $kN$ for $10^{-4}$ seconds. The amplitude in $mm$ of the resulting free vibration is $0.5$ $1.0$ $5.0$ $10.0$
A single degree of freedom system having mass $1$ $kg$ and stiffness $10$ $kN/m$ initially at rest is subjected to an impulse force of magnitude $5$ $kN$ for $10^{-4}$ se...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
vibrations
vibration-isolation
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–
0
answers
0
votes
GATE ME 2013 | Question: 40
A bar is subjected to fluctuating tensile load from $20$ $kN$ to $100$ $kN$. The material has yield strength of $240$ $MPa$ and endurance limit in reversed bending is $160$ $MPa$. According to the Soderberg principle, the area of cross-section in $mm^2$ of the bar for a factor of safety of $2$ is $400$ $600$ $750$ $1000$
A bar is subjected to fluctuating tensile load from $20$ $kN$ to $100$ $kN$. The material has yield strength of $240$ $MPa$ and endurance limit in reversed bending is $16...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
bending
soderberg-principle
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–
0
answers
0
votes
GATE ME 2013 | Question: 41
A simply supported beam of length $L$ is subjected to a varying distributed load $\sin(3\pi x/L) Nm^{-1}$ , where the distance $x$ is measured from the left support. The magnitude of the vertical reaction force in $N$ at the left support is $\text{zero}$ $L/3\pi$ $L/\pi$ $2L/\pi$
A simply supported beam of length $L$ is subjected to a varying distributed load $\sin(3\pi x/L) Nm^{-1}$ , where the distance $x$ is measured from the left support. The ...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
deflection-of-beams
+
–
0
answers
0
votes
GATE ME 2013 | Question: 43
A hinged gate of length $5$ $m$, inclined at $30^\circ$ with the horizontal and with water mass on its left, is shown in the figure below. Density of water is $1000$ $kg$/$m^3$. The minimum mass of the gate in $kg$ per unit width (perpendicular to the plane of paper), required to keep it closed is $5000$ $6600$ $7546$ $9623$
A hinged gate of length $5$ $m$, inclined at $30^\circ$ with the horizontal and with water mass on its left, is shown in the figure below. Density of water is $1000$ $kg$...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE ME 2013 | Question: 20
A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $bar$. The work in $kJ$ required for this process is $804.7$ $953.2$ $981.7$ $1012.2$
A cylinder contains $5$ $m^3$ of an ideal gas at a pressure of $1$ $bar$. This gas is compressed in a reversible isothermal process till its pressure increases to $5$ $ba...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
testing-of-hardness
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–
0
answers
0
votes
GATE ME 2013 | Question: 21
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal stress developed in the shell is $0.5$ $1.0$ $2.0$ $4.0$
A long thin walled cylindrical shell, closed at both the ends, is subjected to an internal pressure. The ratio of the hoop stress (circumferential stress) to longitudinal...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
testing-of-hardness
+
–
0
answers
0
votes
GATE ME 2013 | Question: 22
If two nodes are observed at a frequency of $1800$ $rpm$ during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in $rpm$ is $200$ $450$ $600$ $900$
If two nodes are observed at a frequency of $1800$ $rpm$ during whirling of a simply supported long slender rotating shaft, the first critical speed of the shaft in $rpm$...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
machine-design
shafts
+
–
0
answers
0
votes
GATE ME 2013 | Question: 23
A planar closed kinematic chain is formed with rigid links $PQ$ = $2.0$ $m$, $QR$ = $3.0$ $m$, $RS$ = $2.5$ $m$ and $SP$ = $2.7$ $m$ with all revolute joints. The link to be fixed to obtain a double rocker (rockerrocker) mechanism is $PQ$ $QR$ $RS$ $SP$
A planar closed kinematic chain is formed with rigid links $PQ$ = $2.0$ $m$, $QR$ = $3.0$ $m$, $RS$ = $2.5$ $m$ and $SP$ = $2.7$ $m$ with all revolute joints. The link to...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
theory-of-machines
dynamic-analysis-of-linkages
+
–
0
answers
0
votes
GATE ME 2013 | Question: 5
Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of bolt $B$ and the mean diameter of bolt $A$ is $12$ $mm$, the mean diameter of bolt $B$ in $mm$ is $16$ $24$ $36$ $48$
Two threaded bolts $A$ and $B$ of same material and length are subjected to identical tensile load. If the elastic strain energy stored in bolt $A$ is $4$ times that of b...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
+
–
0
answers
0
votes
GATE ME 2013 | Question: 6
A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform velocity of $0.75$ $m$/$s$ with respect to the rod, as shown in the figure below. If $OA$ = $1$ $m$, the magnitude of the absolute acceleration of the block at location $A$ in $m$/$s^2$ is $3$ $4$ $5$ $6$
A link $OB$ is rotating with a constant angular velocity of $2$ $rad$/$s$ in counter clockwise direction and a block is sliding radially outward on it with an uniform vel...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Theory of Machines
gateme-2013
velocity-and-acceleration-analysis
theory-of-machines
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE ME 2013 | Question: 7
For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear stress $\tau _\omega$ are related by $\tau _\omega =\dfrac{\Delta pD}{4L} \\$ $\tau _\omega =\dfrac{\Delta pD^2}{4L^2} \\$ $\tau _\omega =\dfrac{\Delta pD}{2L} \\$ $\tau _\omega =\dfrac{4\Delta p L}{D}$
For steady, fully developed flow inside a straight pipe of diameter $D$, neglecting gravity effects, the pressure drop $\Delta p$ over a length $L$ and the wall shear st...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Applied Mechanics and Design
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
shear-stress
+
–
0
answers
0
votes
GATE ME 2013 | Question: 4
A rod of length $L$ having uniform cross-sectional area $A$ is subjected to a tensile force $P$ as shown in the figure below. If the Young's modulus of the material varies linearly from $E_1$ to $E_2$ along the length of the rod, the normal stress developed at the section-$SS$ ... $\dfrac{P(E_1-E_2)}{A(E_1+E_2)} \\$ $\dfrac{PE_2}{AE_1} \\$ $\dfrac{PE_1}{AE_2}$
A rod of length $L$ having uniform cross-sectional area $A$ is subjected to a tensile force $P$ as shown in the figure below. If the Young’s modulus of the material var...
piyag476
1.4k
points
piyag476
asked
Feb 19, 2017
Mechanics of Materials
gateme-2013
applied-mechanics-and-design
mechanics-of-materials
youngs-modulus
+
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