Recent questions and answers in Vibrations / GO Mechanical

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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 $0.25$ $0.5$ $2$ $3$

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$...

go_editor

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go_editor asked Sep 18, 2020

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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...

Arjun

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Arjun asked Feb 17, 2018

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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 $N$) $F(t) = 50 \cos 5t$. ...

Arjun

28.5k points

Arjun asked Feb 17, 2018

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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 ...

Arjun

28.5k points

Arjun asked Feb 24, 2017

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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...

Arjun

28.5k points

Arjun asked Feb 24, 2017

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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 ...

Arjun

28.5k points

Arjun asked Feb 24, 2017

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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 ...

Arjun

28.5k points

Arjun asked Feb 24, 2017

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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...

Arjun

28.5k points

Arjun asked Feb 19, 2017