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Recent questions tagged engineering-mechanics
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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: 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-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: 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
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: 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: 4
The lengths of a large stock of titanium rods follow a normal distribution with a mean $(\mu)$ of $440$ mm and a standard deviation $(\sigma)$ of $1$ mm.What is the percentage of rods whose lengths lie between $438$ mm and $441$ mm? $81.85 \%$ $68.4 \%$ $99.75 \%$ $86.64 \%$
Arjun
asked
in
Others
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
applied-mechanics-and-design
engineering-mechanics
0
answers
0
votes
GATE2019 ME-1: 38
A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of $10 \: kN$ is applied at point D. The magnitude of force (in kN) in the member BC is __________
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
numerical-answers
applied-mechanics-and-design
engineering-mechanics
trusses
0
answers
0
votes
GATE ME 2012 | Question: 49
Two steel truss members, AC and BC, each having cross sectional area of $100 mm^2$, are subjected to a horizontal force F as shown in the figure. All the joints are hinged. The maximum force F in kN that can be applied at $C$ such that the axial stress in any of the truss members DOES NOT exceed $100$ MPa is $8.17$ $11.15$ $14.14$ $22.30$
Andrijana3306
asked
in
Applied Mechanics and Design
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
applied-mechanics-and-design
engineering-mechanics
trusses-and-frames
0
answers
0
votes
GATE ME 2012 | Question: 48
Two steel truss members, AC and BC, each having cross sectional area of $100 mm^2$, are subjected to a horizontal force $F$ as shown in the figure. All the joints are hinged. If $F=1$ kN. the magnitude of the vertical reaction force developed at the point B in kN is $0.63$ $0.32$ $1.26$ $1.46$
Andrijana3306
asked
in
Applied Mechanics and Design
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
applied-mechanics-and-design
engineering-mechanics
trusses-and-frames
0
answers
0
votes
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 ... $\sqrt{\dfrac{2k}{m}} \\$ $\sqrt{\dfrac{k}{2m}} \\$ $\sqrt{\dfrac{4k}{m}}$
Andrijana3306
asked
in
Applied Mechanics and Design
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
applied-mechanics-and-design
engineering-mechanics
equilibrium
0
answers
0
votes
GATE ME 2012 | Question: 21
A circular solid disc of uniform thickness of $20$ mm, radius $200$ mm and mass $20$ kg, is used as a flywheel. If it rotates at $600$ rpm, the kinetic energy of the flywheel, in $\textit{Joules}$ is $395$ $790$ $1580$ $3160$
Andrijana3306
asked
in
Applied Mechanics and Design
Mar 20, 2018
by
Andrijana3306
1.5k
points
gateme-2012
applied-mechanics-and-design
engineering-mechanics
kinetic-energy
0
answers
0
votes
GATE2018-1-54
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.
Arjun
asked
in
Engineering Mechanics
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
numerical-answers
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE2018-1-28
A point mass is shot vertically up from ground level with a velocity of $4$ m/s at time, $t=0$. It loses $20 \%$ of its impact velocity after each collision with the ground. Assuming that the acceleration due to gravity is $10 \: m/s^2$ and that air resistance ... , the mass stops bouncing and comes to complete rest on the ground after a total time (in seconds) of $1$ $2$ $4$ $\infty$
Arjun
asked
in
Applied Mechanics and Design
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
applied-mechanics-and-design
engineering-mechanics
1
answer
0
votes
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 $3, 3$ $3, 12$ $4, 12$ $4, 48$
Arjun
asked
in
Engineering Mechanics
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
engineering-mechanics
0
answers
0
votes
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 $T_1=100 \: N \text{ and } T_2=0 \: N$ $T_1=0 \: N \text{ and } T_2=100 \: N$ $T_1=75 \: N \text{ and } T_2=25 \: N$ $T_1=25 \: N \text{ and } T_2=75 \: N$
Arjun
asked
in
Engineering Mechanics
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE2017 ME-1: 14
A particle of unit mass is moving on a plane. Its trajectory, in polar coordinates, is given by $r(t)=t^{2}, \theta (t)=t$, where $t$ is time. The Kinetic energy of the particle at time $t=2$ is $4$ $12$ $16$ $24$
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set1
applied-mechanics-and-design
engineering-mechanics
0
answers
0
votes
GATE2016-3-9
A rigid link $PQ$ is undergoing plane motion as shown in the figure ($V_P$ and $V_Q$ are non-zero). $V_{QP}$ is the relative velocity of point $Q$ with respect to point $P$. Which one of the following is TRUE? $V_{QP}$ ... $Q$ $V_{QP}$ has only one component directed from $Q$ to $P$ $V_{QP}$ has only one component perpendicular to $PQ$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set3
applied-mechanics-and-design
engineering-mechanics
0
answers
0
votes
GATE2016-2-31
A system of particles in motion has mass center $G$ as shown in the figure. The particle $i$ has mass $m_i$ and its position with respect to a fixed point $O$ is given by the position vector $r_i$. The position of the particle with respect to $G$ ... $\sum _i\rho _i\times m_i\ddot{r_i}$ $\sum _ir _i\times m_i\ddot{r_i}$ $\sum _i\rho _i\times m_i\ddot{\rho _i}$
Arjun
asked
in
Engineering Mechanics
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set2
angular-momentum
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE2016-1-31
A two-member truss $PQR$ is supporting a load $W$. The axial forces in members $PQ$ and $QR$ are respectively $2W$ tensile and $\sqrt{3}W$ compressive $\sqrt{3}W$ tensile and $2W$ compressive $\sqrt{3}W$ compressive and $2W$ tensile $2W$ compressive and $\sqrt{3}W$ tensile
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
applied-mechanics-and-design
engineering-mechanics
trusses
0
answers
0
votes
GATE2015-2-32
For the truss shown in the figure, the magnitude of the force (in $kN$) in the member SR is $10$ $14.14$ $20$ $28.28$
Arjun
asked
in
Engineering Mechanics
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set2
trusses-and-frames
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE2015-1-52
Air ($\rho$=$1.2 \: kg/m^3$ and kinematic viscosity, $V$ = $2 \times10^{−5}$ $m^2$/$s$) with a velocity of $2$ $m/s$ flows over the top surface of a flat plate of length $2.5$ $m$. If the average value of friction coefficient is $C_f=\dfrac{1.328}{\sqrt{Re_x}}$, the total drag force (in $N$) per unit width of the plate is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
engineering-mechanics
0
answers
0
votes
GATE2015-1-39
For the truss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively $122.47$ $kN$ and $50$ $kN$ $70.71$ $kN$ and $100$ $kN$ $70.71$ $kN$ and $50$ $kN$ $81.65$ $kN$ and $100$ $kN$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
applied-mechanics-and-design
engineering-mechanics
trusses
0
answers
0
votes
GATE2015-1-16
Two identical trusses support a load of $100$ $N$ as shown in the figure. The length of each truss is $1.0$ $m$; cross-sectional area is $200$ $mm^2$; Young’s modulus $E$ = $200$ $GPa$. The force in the truss $AB$ (in $N$) is _________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
numerical-answers
applied-mechanics-and-design
engineering-mechanics
trusses
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 40
A ladder AB of length $5$ $m$ and weight $(W)$ $600$ $N$ is resting against a wall. Assuming frictionless contact at the floor $(B)$ and the wall $(A)$, the magnitude of the force $P$ (in newton) required to maintain equilibrium of the ladder is _______
Arjun
asked
in
Engineering Mechanics
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set4
numerical-answers
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 36
A frame is subjected to a load $P$ as shown in the figure. The frame has a constant flexural rigidity $EI$. The effect of axial load is neglected. The deflection at point $A$ due to the applied load $P$ is $\dfrac{1}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{2}{3}\dfrac{PL^3}{EI} \\$ $\dfrac{PL^3}{EI} \\$ $\dfrac{4}{3}\dfrac{PL^3}{EI}$
Arjun
asked
in
Engineering Mechanics
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set4
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 34
A uniform slender rod ($8$ $m$ length and $3$ $kg$ mass) rotates in a vertical plane about a horizontal axis $1$ $m$ from its end as shown in the figure. The magnitude of the angular acceleration (in $rad/s^2$) of the rod at the position shown is _______
Arjun
asked
in
Engineering Mechanics
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set4
numerical-answers
engineering-mechanics
applied-mechanics-and-design
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 32
For the truss shown in the figure, the forces $F_1$ and $F_2$ are $9$ $kN$ and $3$ $kN$, respectively. The force (in $kN$) in the member QS is $11.25$ tension $11.25$ compression $13.5$ tension $13.5$ compression
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set4
applied-mechanics-and-design
engineering-mechanics
trusses-and-frames
0
answers
0
votes
GATE Mechanical 2014 Set 4 | Question: 6
In a statically determinate plane truss, the number of joints $(j)$ and the number of members $(m)$ are related by $j = 2m – 3$ $m = 2j + 1$ $m = 2j – 3$ $m = 2j − 1$
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set4
applied-mechanics-and-design
engineering-mechanics
trusses
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 18
The process utilizing mainly thermal energy for removing material is Ultrasonic Matching Electrochemical Matching Abrasive Jet Matching Laser Beam Matching
Arjun
asked
in
Engineering Mechanics
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set3
engineering-mechanics
laser-beam-matching
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 39
A rigid link $PQ$ of length $2$ $m$ rotates about the pinned end $Q$ with a constant angular acceleration of $12$ $rad$/$s^2$. When the angular velocity of the link is $4$ $rad$/$s$, the magnitude of the resultant acceleration (in $m$/$s^2$) of the end P is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set2
numerical-answers
applied-mechanics-and-design
engineering-mechanics
equilibrium
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 37
Maximum fluctuation of kinetic energy in an engine has been calculated to be $2600$ $J$. Assuming that the engine runs at an average speed of $200$ $rpm$, the polar mass moment of inertia (in $kg.m^2$) of a flywheel to keep the speed fluctuation within $±0.5$% of the average speed is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set2
numerical-answers
applied-mechanics-and-design
engineering-mechanics
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 7
A two member truss ABC is shown in the figure. The force (in $kN$) transmitted in member AB is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set2
numerical-answers
applied-mechanics-and-design
engineering-mechanics
trusses
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