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Recent questions and answers in Engineering Mechanics
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GATE Civil 2021 Set 1 | Question: 29
A wedge $\text{M}$ and a block $\text{N}$ are subjected to forces $\text{P}$ and $\text{Q}$ as shown in the figure. If force $\text{P}$ is sufficiently large, then the block $\text{N}$ can be raised. The weights of the wedge and the block are negligible ... $\alpha$' (rounded off to one decimal place) is $0.6$ $0.5$ $2.0$ $0.9$
Arjun
asked
in
Engineering Mechanics
Feb 20, 2021
by
Arjun
11.6k
points
gatecivil-2021-set1
friction
0
votes
0
answers
2
GATE2020-CE-1-13
A body floating in a liquid is in a stable state of equilibrium if its metacentre lies above its centre of gravity metacentre lies below its centre of gravity metacentre coincides with its centre of gravity centre of gravity is below its centre of buoyancy
go_editor
asked
in
Engineering Mechanics
Feb 28, 2020
by
go_editor
5.3k
points
gate2020-ce-1
equilibrium-equations
0
votes
0
answers
3
GATE2020-CE-1-29
A rigid weightless platform $\textbf{PQRS}$ shown in the figure ( not drawn to the scale) can slide freely in the vertical direction. The platform is held in position by the weightless member $\textbf{OJ}$ and four weightless, frictionless rollers. Points $\textbf{O}$ ... of horizontal component of the reaction ( in $kN$) at pin $\textbf{O}$, is $90$ $120$ $150$ $180$
go_editor
asked
in
Engineering Mechanics
Feb 28, 2020
by
go_editor
5.3k
points
gate2020-ce-1
equilibrium-equations
1
vote
0
answers
4
GATE2019 CE-1: 3
A simple mass-spring oscillatory system consists of a mass $m$, suspended from a spring of stiffness $k$. Considering $z$ as the displacement of the system at any time $t$, the equation of motion for the free vibration of the system is $m \ddot{z} + kz = 0$. The natural frequency of the system is $\dfrac{k}{m} \\$ $\sqrt{ \dfrac{k}{m}} \\$ $\dfrac{m}{k}\\$ $\sqrt{ \dfrac{m}{k}}$
Arjun
asked
in
Engineering Mechanics
Feb 14, 2019
by
Arjun
11.6k
points
gate2019-ce-1
engineering
engineering-mechanics
0
votes
0
answers
5
GATE2016-2-6
The kinematic indeterminacy of the plane truss shown in the figure is $11$ $8$ $3$ $0$
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
engineering-mechanics
structural-engineering
kinematics
truss
0
votes
0
answers
6
GATE2016-2-8
An assembly made of a rigid arm $A-B-C$ hinged at end $A$ and supported by an elastic rope $C-D$ at end $C$ is shown in the figure. The members may be assumed to be weightless and the lengths of the respective members are shown in the figure. Under the action of a concentrated load $P$ at ... the rope is $\dfrac{3P}{\sqrt{2}} \\$ $\dfrac{P}{\sqrt{2}} \\$ $\dfrac{3P}{8} \\$ $\sqrt{2}P$
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
engineering-mechanics
structural-engineering
rigid-body
magnitude-of-tension
0
votes
0
answers
7
GATE2016-2-32
For the stress state (in MPa) shown in the figure, the major principal stress is $10$ MPa. The shear stress $\tau$ is $10.0$ MPa $5.0$ MPa $2.5$ MPa $0.0$ MPa
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
stress-state
structural-engineering
engineering-mechanics
0
votes
0
answers
8
GATE2016-2-34
Consider the structural system shown in the figure under the action of weight $W$. All the joints are hinged. The properties of the members in terms of length ($L$), area ($A$) and the modulus of elasticity ($E$) are also given in the figure. Let $L$, $A$ and $E$ ... $=0.0417 \: m$ Compressive force $=100 \: kN$; Stress $=1000 \; kN/m^2$; Extension $=0.0417 \: m$
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
structural-engineering
engineering-mechanics
internal-forces-in-structures
0
votes
0
answers
9
GATE2016-2-45
A square plate is suspended vertically from one of its edges using a hinge support as shown in figure. A water jet of $20 \: mm$ diameter having a velocity of $10 \: m/s$ strikes the plate at its mid-point, at an angle of $30^{\circ}$ with ... neglect the self-weight of the plate. The force $F$ (expressed in $N$) required to keep the plate in its vertical position is _____________
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-2
numerical-answers
foundation-engineering
structural-engineering
0
votes
0
answers
10
GATE2016-1-34
A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force $\color{Red}{P}$ acts at $C$ as shown. Let $R_{Ah}$ and $R_{Bh}$ be the horizontal reactions at supports $A$ and $B$, respectively, and $R_{Av}$ be the ... $R_{Av}=P; \: R_{Bh} = \dfrac{1.5}{8}P; \text{ and } R_{Ah} = \dfrac{1.5}{8} P$
Milicevic3306
asked
in
Engineering Mechanics
Mar 28, 2018
by
Milicevic3306
11.9k
points
gate2016-ce-1
engineering-mechanics
structural-engineering
rigid-bodies
0
votes
0
answers
11
GATE2017 CE-1: 4
An elastic bar of length $L$, uniform cross sectional area $A$, coefficient of thermal expansion $\alpha$, and Young's modulus $E$ is fixed at the two ends. The temperature of the bar is increased by $T$, resulting in an axial stress $\sigma$. Keeping all other parameters unchanged ... , the axial stress would be $\sigma$ $2 \: \sigma$ $0.5 \: \sigma$ $0.25 \: \alpha \: \sigma$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
structural-engineering
axial-stress
engineering-mechanics
0
votes
0
answers
12
GATE2017 CE-1: 42
Consider two axially loaded columns, namely, $1$ and $2$, made of a linear elastic material with Young's modulus $2 \times 10^5$ MPa, square cross-section with side $10$ mm, and length $1$ m. For column $1$, one end is fixed and the other end is free ... 's theory, the ratio (up to one decimal place) of the buckling load of Column $2$ to the buckling load of Column $1$ is ________
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
engineering-mechanics
structural-engineering
euler's-equation
0
votes
0
answers
13
GATE2017 CE-1: 44
A particle of mass $2$ kg is travelling at a velocity of $1.5$ m/s. A force $f(t) = 3t^2$ (in N) is applied to it in the direction of motion for a duration of $2$ seconds, where $t$ denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is _______.
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2017-ce-1
numerical-answers
structural-engineering
engineering-mechanics
internal-forces-in-structures
0
votes
0
answers
14
GATE2015-2-30
In a system, two connected rigid bars $AC$ and $BC$ are identical length, $L$ with pin supports at $A$ and $B$. The bars are interconnected at $C$ by a frictionless hinge. The rotation of the hinge is restrained by a rotational spring of stiffness, $k$. The system initially assumes a straight ... at $C$ is: $\dfrac{PL}{4k} \\$ $\dfrac{PL}{2k} \\$ $\dfrac{P}{4k} \\$ $\dfrac{Pk}{4L}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2015-ce-2
engineering-mechanics
structural-engineering
stiffness
rigid-body
0
votes
0
answers
15
GATE2014-2-33
Considering the symmetric of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is $170$ $172$ $176$ $178$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-2
structural-analysis
analysis-of-frames
0
votes
0
answers
16
GATE2014-1-30
Mathematical idealization of a crane has three bars with their vertices arranged as shown in the figure with a load of $80$ kN hanging vertically. The coordinates of the vertices are given in parentheses. The force in the member $QR$, $F_{QR}$ will be $30$ kN Compressive $30$ kN Tensile $50$ Compressive $50$ kN Tensile
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
structural-engineering
solid-mechanics
internal-forces-in-structures
0
votes
0
answers
17
GATE2014-1-27
A box of weight $100$ kN shown in the figure is to be lifted without swinging. If all forces are coplanar, the magnitude and direction $( \theta)$ of the force $(F)$ with respect to $x$-axis should be $F=56.389$ kN and $\theta=28.28^{\circ}$ $F=-56.389$ kN and $\theta=-28.28^{\circ}$ $F=9.055$ kN and $\theta=1.414^{\circ}$ $F=-9.055$ kN and $\theta=-1.414^{\circ}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
structural-engineering
engineering-mechanics
system-of-forces
coplanar
0
votes
0
answers
18
GATE2014-1-26
If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is $\frac{d^2y}{dx^2}+\frac{P}{EI}y=0$ If $a$ is amplitude constant for $y,$ then $y=\dfrac{1}{P} \bigg( 1- a \cos \dfrac{2 \pi x}{L} \bigg) \\$ ... $y= a \sin \dfrac{n \pi x}{L} \\$ $y= a \cos \dfrac{n \pi x}{L}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
engineering-mechanics
structural-engineering
equilibrium
0
votes
0
answers
19
GATE2014-1-8
The ultimate collapse load $(P)$ in terms of plastic moment $M_p$ by kinematic approach for a propped cantilever of length $L$ with $P$ acting at its mid-span as shown in the figure, would be $P=\dfrac{2M_p}{L} \\$ $P=\dfrac{4M_p}{L} \\$ $P=\dfrac{6M_p}{L}\\$ $P=\dfrac{8M_p}{L}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 26, 2018
by
Milicevic3306
11.9k
points
gate2014-ce-1
engineering-mechanics
structural-engineering
kinematic-approach
0
votes
0
answers
20
GATE Civil 2012 | Question: 4
The Poisson's ratio is defined as $\begin{vmatrix} \dfrac{\text{axial stress}}{\text{lateral stress}} \end{vmatrix} \\$ $\begin{vmatrix} \dfrac{\text{lateral strain}}{\text{axial strain}} \end{vmatrix} \\$ ... $\begin{vmatrix} \dfrac{\text{axial strain}}{\text{lateral strain}} \end{vmatrix}$
Milicevic3306
asked
in
Engineering Mechanics
Mar 25, 2018
by
Milicevic3306
11.9k
points
gate2012-ce
engineering-mechanics
structural-engineering
axial-stress
lateral-stress
0
votes
0
answers
21
GATE2018 CE-2: 29
Two rigid bodies of mass $5$ kg and $4$ kg are at rest on a frictionless surface until acted upon by a force of $36$ N as shown in the figure. The contact force generated between the two bodies is $4.0$ N $7.2$ N $9.0$ N $16.0$ N
gatecse
asked
in
Engineering Mechanics
Feb 17, 2018
by
gatecse
4.0k
points
gate2018-ce-2
rigid-bodies
engineering-mechanics
structural-engineering
0
votes
0
answers
22
GATE2018 CE-1: 28
A cylinder of radius $250$ mm and weight, $W=10$ kN is rolled up an obstacle of height $50$ mm by applying a horizontal force $P$ at its centre as shown in the figure. All interfaces are assumed frictionless. The minimum value of P is $4.5$ kN $5.0$ kN $6.0$ kN $7.5$ kN
gatecse
asked
in
Engineering Mechanics
Feb 17, 2018
by
gatecse
4.0k
points
gate2018-ce-1
structural-engineering
engineering-mechanics
friction
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