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Recent questions tagged vibrations
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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 $0.25$ $0.5$ $2$ $3$
go_editor
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
GATE2019 ME-1: 43
A uniform thin disk of mass $1 \: kg$ and radius $0.1 \: m$ is kept on a surface as shown in the figure. A spring of stiffness $k_1=400 \: N/m$ is connected to the disk center $A$ ... disk. For small disturbance from the equilibrium, the natural frequency of vibration of the system is _________ $rad/s$ (round off to oe decimal place).
Arjun
asked
in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
numerical-answers
applied-mechanics-and-design
vibrations
0
answers
0
votes
GATE2018-1-40
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).
Arjun
asked
in
Vibrations
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
numerical-answers
vibrations
applied-mechanics-and-design
0
answers
0
votes
GATE2017 ME-1: 48
A $10$ mm deep cylindrical cup with diameter of $15$ mm is drawn from a circular blank. Neglecting the variation in the sheet thickness, the diameter (upto $2$ decimal points accuracy) of the blank is _________ mm.
Arjun
asked
in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set1
numerical-answers
applied-mechanics-and-design
vibrations
vibration-isolation
0
answers
0
votes
GATE2015-3-28
Figure shows a single degree of freedom system. The system consists of a massless rigid bar $OP$ hinged at $O$ and a mass $m$ at end $P$. The natural frequency of vibration of the system is $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{k}{4m}}} \\$ ... $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{2k}{m}}}$
Arjun
asked
in
Vibrations
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set3
vibrations
applied-mechanics-and-design
0
answers
0
votes
GATE2015-3-19
Which of the following statements are TRUE for damped vibrations? P. For a system having critical damping, the value of damping ratio is unity and system does not undergo a vibratory motion. Q. Logarithmic decrement method is used to determine the amount of damping in a physical ... proportional to the square of relative velocity. P and Q only P and S only P, Q and R only Q and S only
Arjun
asked
in
Vibrations
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set3
effect-of-damping
vibrations
applied-mechanics-and-design
0
answers
0
votes
GATE2015-2-36
A single-degree-freedom spring-mass system is subjected to a sinusoidal force of $10$ $N$ amplitude and frequency $ω$ along the axis of the spring. The stiffness of the spring is $150$ $N/m$, damping factor is $0.2$ and the undamped natural frequency is $10ω$. At steady state, the amplitude of vibration (in $m$) is approximately $0.05$ $0.07$ $0.70$ $0.90$
Arjun
asked
in
Vibrations
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set2
effect-of-damping
vibrations
applied-mechanics-and-design
0
answers
0
votes
GATE2015-2-10
In a spring-mass system, the mass is m and the spring constant is $k$. The critical damping coefficient of the system is $0.1$ $kg/s$. In another spring-mass system, the mass is $2m$ and the spring constant is $8k$. The critical damping coefficient (in $kg/s$) of this system is ____________
Arjun
asked
in
Vibrations
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set2
numerical-answers
effect-of-damping
vibrations
applied-mechanics-and-design
0
answers
0
votes
GATE2015-1-45
A precision instrument package $(m = 1 \: kg)$ needs to be mounted on a surface vibrating at $60 \: Hz$. It is desired that only $5\%$ of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural ... $N/m$) of the required mounting pad 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
vibrations
0
answers
0
votes
GATE2015-1-38
Considering massless rigid rod and small oscillations, the natural frequency (in $rad/s$) of vibration of the system shown in the figure is $\sqrt{\dfrac{400}{1}} \\$ $\sqrt{\dfrac{400}{2}} \\$ $\sqrt{\dfrac{400}{3}} \\$ $\sqrt{\dfrac{400}{4}} $
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2015-set1
applied-mechanics-and-design
vibrations
vibration-isolation
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 40
A mass-spring-dashpot system with mass $m = 10$ $kg$, spring constant $k = 6250$ $N/m$ is excited by a harmonic excitation of $10 cos(25t)$ $N$. At the steady state, the vibration amplitude of the mass is $40$ $mm$. The damping coefficient ($c$, in $N.s/m$) of the dashpot is _______
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set3
numerical-answers
applied-mechanics-and-design
vibrations
effect-of-damping
0
answers
0
votes
GATE Mechanical 2014 Set 3 | Question: 8
Consider a single degree-of-freedom system with viscous damping excited by a harmonic force. At resonance, the phase angle (in degree) of the displacement with respect to the exciting force is $0$ $45$ $90$ $135$
Arjun
asked
in
Vibrations
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set3
effect-of-damping
vibrations
applied-mechanics-and-design
0
answers
0
votes
GATE Mechanical 2014 Set 2 | Question: 9
In vibration isolation, which one of the following statements is NOT correct regarding Transmissibility (T)? T is nearly unity at small excitation frequencies T can be always reduced by using higher damping at any excitation frequency T is unity at the frequency ratio of $\sqrt{2}$ T is infinity at resonance for undamped systems
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set2
applied-mechanics-and-design
vibrations
vibration-isolation
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
Arjun
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
points
gateme-2014-set1
applied-mechanics-and-design
vibrations
effect-of-damping
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 $0.5$ $1.0$ $5.0$ $10.0$
piyag476
asked
in
Applied Mechanics and Design
Feb 19, 2017
by
piyag476
1.4k
points
gateme-2013
applied-mechanics-and-design
vibrations
vibration-isolation
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