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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).
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 $N$) $F(t) = 50 \cos 5t$. ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 5, 2021
Vibrations
gateme-2018-set1
numerical-answers
vibrations
applied-mechanics-and-design
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–
0
answers
0
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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 $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{k}{4m}}} \\$ ... $f_n=\displaystyle{\frac{1}{2\pi }\sqrt{\frac{2k}{m}}}$
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 vibrati...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Vibrations
gateme-2015-set3
vibrations
applied-mechanics-and-design
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–
0
answers
0
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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
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 ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Vibrations
gateme-2015-set3
effect-of-damping
vibrations
applied-mechanics-and-design
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–
0
answers
0
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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 $0.05$ $0.07$ $0.70$ $0.90$
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 ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Vibrations
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 ____________
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 ...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Vibrations
gateme-2015-set2
numerical-answers
effect-of-damping
vibrations
applied-mechanics-and-design
+
–
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 $0$ $45$ $90$ $135$
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...
Lakshman Bhaiya
21.8k
points
Lakshman Bhaiya
recategorized
Mar 4, 2021
Vibrations
gateme-2014-set3
effect-of-damping
vibrations
applied-mechanics-and-design
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–
0
answers
0
votes
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 $0.25$ $0.5$ $2$ $3$
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$...
soujanyareddy13
100
points
soujanyareddy13
recategorized
Nov 16, 2020
Vibrations
gateme-2020-set2
effect-of-damping
vibrations
applied-mechanics-and-design
+
–
0
answers
0
votes
GATE2018-2-7
In a single degree of freedom underdamped spring-mass-damper 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
In a single degree of freedom underdamped spring-mass-damper system as shown in the figure, an additional damper is added in parallel such that the system still remains u...
go_editor
5.0k
points
go_editor
edited
Jan 15, 2020
Vibrations
gateme-2018-set2
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