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Recent questions and answers in Applied Mechanics and Design
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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).
answered
Feb 20, 2019
in
Theory of Machines
by
Jamir
(
140
points)
gate2019me2
numericalanswers
0
votes
0
answers
GATE2019 ME2: 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 $2V_R$ $2V_P$ $V_R/\sqrt{3}$ $V_P/\sqrt{3}$
asked
Feb 9, 2019
in
Theory of Machines
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
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GATE2019 ME2: 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 $(0.35,  0.15)$ $(0.5, 0.0)$ $(0.5,  0.15)$ $(0.5,  0.5)$
asked
Feb 9, 2019
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
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GATE2019 ME2: 7
A spur gear has pitch circle diameter $D$ and number of teeth $T$. The circular pitch of the gear is $\frac{\pi D}{T}$ $\frac{T}{D}$ $\frac{D}{T}$ $\frac{2 \pi D}{T}$
asked
Feb 9, 2019
in
Machine Design
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
answers
GATE2019 ME2: 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
asked
Feb 9, 2019
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
0
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GATE2019 ME2: 31
A prismatic, straight, elastic, cantilever beam is subjected ti 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 $\frac{qL^4}{15EI}$ $\frac{qL^4}{30EI}$ $\frac{qL^4}{10EI}$ $\frac{qL^4}{60EI}$
asked
Feb 9, 2019
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2019me2
0
votes
2
answers
GATE2018225
A ball is dropped from rest from a height of $1 \: m$ in a frictionless tube as shown in the figure. If the tube profile is approximated by two straight lines (ignoring the curved portion), the total distance travelled (in $m$) by the ball is _____ (correct to two decimal places)
answered
Mar 13, 2018
in
Engineering Mechanics
by
SHUBHAM SILSWAL
(
140
points)
gate2018me2
numericalanswers
0
votes
1
answer
GATE2018220
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 $kNm/rad$) is ________ (correct to two decimal places).
answered
Mar 6, 2018
in
Mechanics of Materials
by
m2n037
(
940
points)
gate2018me2
numericalanswers
0
votes
1
answer
GATE2018221
Fatigue life of a material for a fully reversed loading condition is estimated from $\sigma_a=1100N^{0.15}$, where $\sigma_a$ is teh stress amplitude in $MPa$ and $N$ is the failure life in cycles. The maximum allowable stress amplitude (in $MPa$) for a life of $1 \times 10^5$ cycles under the same loading condition is ________ (correct to two decimal places).
answered
Mar 6, 2018
in
Mechanics of Materials
by
m2n037
(
940
points)
gate2018me2
numericalanswers
0
votes
0
answers
ISRO201711
A beam is fixed at one end and is vertically supported at the other end. What is the degree of statistical indeterminacy? $1$ $2$ $3$ $4$
asked
Mar 5, 2018
in
Engineering Mechanics
by
m2n037
(
940
points)
isro20171
0
votes
0
answers
GATE2018246
The true stress (in MPa) versus true strain relationship for a metal is given by $\sigma=1020 \varepsilon^{0.4}$. The cross sectionalarea at the start of the test (when the stress and strain values are equal to zero) is $100 \: mm^2$. The crosssectional area at the time of necking ( in $mm^2$) is ______________ correct to two decimal palces.
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me2
numericalanswers
0
votes
0
answers
GATE2018239
A force of $100 \: N$ applied to the centre of a circular disc, of mass $10 \: kg$ and radius $1 \: m$, resting on a floor as shown in the figure. If the disc rolls without slipping on the floor, the linear acceleration (in $m/s^2$) of the centre of the disc is _______ (correct to two decimal places).
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
(
21.2k
points)
gate2018me2
numericalanswers
0
votes
0
answers
GATE2018233
A bimetallic cylindrical bar cross sectional area $1 \: m^2$ is made by bonding Steel (Young's modulus $= 210 \: GPa$) and Aluminium (Young's modulus =$70 \: GPa$) as shown in the figure. To maintain tensile axial strain of magnitude $10^{6}$ in Steel bar ... $P$ (in $kN$) along the indicated direction is $70$ $140$ $210$ $280$
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE2018237
A thinwalled 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)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me2
numericalanswers
0
votes
0
answers
GATE2018238
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 ultimate ... safety is $2$, the value of $a$ (in $mm$), according to the modified Goodman's criterion, is _____ (correct to two decimal places).
asked
Feb 17, 2018
in
Machine Design
by
Arjun
(
21.2k
points)
gate2018me2
numericalanswers
0
votes
0
answers
GATE2018230
A rigid of length $1 \: m$ is resting at an angle $\theta =45^{\circ}$ as shown in the figure. The end $P$ is dragged with a velocity of $U=5 \: m/s$ to the right. At the instant shown, the magnitude of the velocity $V$ (in $m/s$) of point $Q$ as it moves along the wall without losing contact is $5$ $6$ $8$ $10$
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE2018232
In a camfollower, the follower rises by $h$ as the cam rotates by $\delta$ (radians) at constant angular velocity $\omega$ (radians/s). The follower is uniformly accelerating during the first half of the rise period and it is uniformly decelerating in the latter half of the rise period ... is $\frac{4h \omega}{\delta} \\$ $h \omega \\$ $\frac{2h \omega}{\delta} \\$ $2h \omega$
asked
Feb 17, 2018
in
Theory of Machines
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE2018231
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 $(50, 100)$ $(75, 75)$ $(100, 75)$ $(120, 30)$
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE2018229
In a rigid body in plane motion, the point R is accelerating with respect to point P at $10 \angle 180^{\circ} \: m/s^2$. If the instantaneous acceleration of point $Q$ is zero, the acceleration (in $m/s^2$) of point $R$ is $8 \angle 233^{\circ}$ $10 \angle 225^{\circ}$ $10 \angle 217^{\circ}$ $8 \angle 217^{\circ}$
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE201827
In a single degree of freedom underdamped springmassdamper 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
asked
Feb 17, 2018
in
Vibrations
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE201828
Pretensioning of a bolted joint is used to strain harden the bolt head decrease stiffness of the bolted joint increase stiffness of the bolted joint prevent yielding of the thread root
asked
Feb 17, 2018
in
Machine Design
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE201826
A frictionless gear train is shown in the figure. The leftmost $12$teeth gear is given a torque of $100 \: Nm$. The output torque from the $60$teeth gear on the right in $Nm$ is $5$ $20$ $500$ $2000$
asked
Feb 17, 2018
in
Machine Design
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
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GATE201825
The minimum axial compressive load, $P$, required to initiate buckling for a pinnedpinned slender column with bending stiffness $EI$ and length $L$ is $P=\frac{\pi^2 EI}{4L^2}$ $P=\frac{\pi^2 EI}{L^2}$ $P=\frac{3\pi^2 EI}{4L^2}$ $P=\frac{4\pi^2 EI}{L^2}$
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me2
0
votes
0
answers
GATE2018154
Block P of mass $2$ kg slides down the surface and has a speed $20$ m/s at the lowest point, Q, where the local radius of curvature is $2$ m as shown in the figure. Assuming $g=10 \: m/s^2$, the normal force (in N) at Q is ____ correct to two decimal places.
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
(
21.2k
points)
gate2018me1
numericalanswers
0
votes
0
answers
GATE2018153
The schematic of an external drum rotating clockwise engaging with a short shoe is shown in the figure. The shoe is mounted at point Y on a rigid lever XYZ hinged at point X. A force $F=100$ N is applied at the free end of the lever as shown. Given that the ... the shoe and the drum is $0.3$, the braking torque in (Nm) applied on the drum is _____ (correct to two decimal places)
asked
Feb 17, 2018
in
Machine Design
by
Arjun
(
21.2k
points)
gate2018me1
numericalanswers
0
votes
0
answers
GATE2018150
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)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me1
numericalanswers
0
votes
0
answers
GATE2018148
The true stress $(\sigma)$  true strain $(\varepsilon)$ diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to stress of $500$ MPa and strain of $0.5$. Then from point A, there is unloading ... . Given that the Young's modulus $E=200$ GPa, te natural strain at point B$(\varepsilon_B)$ is _____ (correct to three decimal places)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me1
numericalanswers
0
votes
0
answers
GATE2018139
A simply supported beam of width $100$ mm, height $200$ mm and length 4 m is carrying a uniformly distributed load of intensity $10$ kN/m. The maximum bending stress (in MPa) in the beam is _________ (correct to one decimal place)
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me1
numericalanswers
0
votes
0
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GATE2018140
A machine of mass $m=200 \: kg$ is supported on two mounts, each of stiffness $k=10 \: kN/m$. The machine is subjected to an external force (in $N$) $F(t) = 50 \cos 5t$. Assuming only vertical translatory motion, the magnitude of the dynamic force (in $N$) transmitted from each mount to the ground is _________ (correct to two decimal places).
asked
Feb 17, 2018
in
Vibrations
by
Arjun
(
21.2k
points)
gate2018me1
numericalanswers
0
votes
0
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GATE2018141
A slider crank mechanism is shown in the figure. At some instant, the crank angle is 45$^{\circ}$ and force of $40$ N is acting towards the left on the slider. The length of the crank is $30$ mm and the connecting rod is $70$ mm. ... inertial forces, the magnitude of the crankshaft torque (in Nm) needed to keep the mechanism in equilibrium is ______ (correct to two decimal places)
asked
Feb 17, 2018
in
Theory of Machines
by
Arjun
(
21.2k
points)
gate2018me1
numericalanswers
0
votes
0
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GATE2018132
A selfaligning ball bearing has a basic dynamic load rating $(C_{10}$, for $10^6$ revolutions) of $35$ kN. If the equivalent radial load on the bearing is $45$ kN, the expected life (in $10^6$ revolutions) is below $0.5$ $0.5$ to $0.8$ $0.8$ to $1.0$ above $1.0$
asked
Feb 17, 2018
in
Machine Design
by
Arjun
(
21.2k
points)
gate2018me1
0
votes
0
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GATE201818
For an Oldham coupling used between two shafts, which among the following statements are correct? Torsional load is transferred along shaft axis A velocity ratio of $1:2$ between shafts is obtained without using gears Bending load id transferred transverse to shaft axis Rotation is transferred along shaft axis I and III I and IV II and III II and IV
asked
Feb 17, 2018
in
Machine Design
by
Arjun
(
21.2k
points)
gate2018me1
0
votes
0
answers
GATE2018111
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
asked
Feb 17, 2018
in
Mechanics of Materials
by
Arjun
(
21.2k
points)
gate2018me1
0
votes
0
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GATE201815
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 $T_1=100 \: N \text{ and } T_2=0 \: N$ $T_1=0 \: N \text{ and } T_2=100 \: N$ $T_1=75 \: N \text{ and } T_2=25 \: N$ $T_1=25 \: N \text{ and } T_2=75 \: N$
asked
Feb 17, 2018
in
Engineering Mechanics
by
Arjun
(
21.2k
points)
gate2018me1
+1
vote
1
answer
GATE2017 ME2: 50
A rod of length $20$ mm is stretched to make a rod of length $40$ mm. Subsequently, it is compressed to make a rod of final length $10$ mm. Consider the longitudinal tensile strain as positive and compressive strain as negative. The total true longitudinal strain in the rod is $0.5$ $0.69$ $0.75$ $1.0$
answered
May 8, 2017
in
Mechanics of Materials
by
dd
(
470
points)
gate2017me2
0
votes
0
answers
GATE2014336
Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by $t$, lying in the interval $0$ to $2π$ ... $cost$ , $y(t)=2sint$ $x(t)$= $\frac{1}{2}$+$cost$ , $y(t)=sint$
asked
Feb 19, 2017
in
Theory of Machines
by
Arjun
(
21.2k
points)
gate2014me3
0
votes
0
answers
GATE20134
A rod of length $L$ having uniform crosssectional 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$SS$ is $\frac{P}{A}$ $\frac{P(E_1E_2)}{A(E_1+E_2)}$ $\frac{PE_2}{AE_1}$ $\frac{PE_1}{AE_2}$
asked
Feb 19, 2017
in
Mechanics of Materials
by
piyag476
(
1.4k
points)
gate2013me
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