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Recent questions tagged springs
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GATE2020-ME-1: 31
A rigid mass-less rod of length $L$ is connected to a disc (pulley) of mass $m$ and radius $r = L/4$ through a friction-less revolute joint. The other end of that rod is attached to a wall through a friction-less hinge. A spring of stiffness $2k$ is attached to the rod at its mid-span ... $\sqrt{3}\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{k}{m}}$
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Applied Mechanics and Design
Feb 19, 2020
by
go_editor
5.0k
points
gateme-2020-set1
applied-mechanics-and-design
machine-design
springs
0
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0
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GATE2019 ME-2: 32
A slender uniform rigid bar of mass $m$ is hinged at $O$ and supported by two springs, with stiffness, $3k$ and $k$ and a damper with damping coefficient $c$, as shown in the figure. For the system to be critically damped, the ratio $c/\sqrt{km}$ should be $2$ $4$ $2 \sqrt{7}$ $4 \sqrt{7}$
Arjun
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in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set2
applied-mechanics-and-design
machine-design
springs
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GATE2019 ME-1: 6
The natural frequencies corresponding to the spring-mass systems $I$ and $II$ are $\omega_1$ and $\omega_{II}$, respectively. The ratio $\dfrac{\omega_I}{\omega_{II}}$ is $\dfrac{1}{4} \\$ $\dfrac{1}{2} \\$ $2 \\$ $4$
Arjun
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in
Applied Mechanics and Design
Feb 9, 2019
by
Arjun
27.4k
points
gateme-2019-set1
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2018-1-21
If the wire diameter of a compressive helical spring is increased by $2 \%$, the change in spring stiffness (in $\%$) is _____ (correct to two decimal places)
Arjun
asked
in
Applied Mechanics and Design
Feb 17, 2018
by
Arjun
27.4k
points
gateme-2018-set1
numerical-answers
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2018-1-7
The equation of motion for a spring-mass system excited by a harmonic force is $M\ddot{x} + K x = F \cos(\omega t)$, where $M$ is the mass, $K$ is the spring stiffness, $F$ is the force amplitude and $\omega$ is the angular frequency of excitation. Resonance occurs when $\omega$ is equal ... $2 \pi \sqrt{\dfrac{K}{M}} \\$ $\sqrt{\dfrac{K}{M}}$
Arjun
asked
in
Applied Mechanics and Design
Feb 17, 2018
by
Arjun
27.4k
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gateme-2018-set1
applied-mechanics-and-design
machine-design
springs
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GATE2017 ME-2: 33
A helical compression spring made of a wire of circular cross-section is subjected to a compressive load. The maximum shear stress induced in the cross-section of the wire is $24$MPa. For the same compressive load, if both the wire diameter and the mean coil diameter are doubled, the maximum shear stress (in MPa) induced in the cross-section of the wire is __________.
Arjun
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Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.4k
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gateme-2017-set2
numerical-answers
applied-mechanics-and-design
machine-design
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0
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GATE2017 ME-2: 6
A mass $m$ is attached to two identical springs having spring constant $k$ as shown in the figure. The natural frequency $\omega$ of this single degree of freedom system is $\sqrt{\dfrac{2k}{m}} \\$ $\sqrt{\dfrac{k}{m}} \\$ $\sqrt{\dfrac{k}{2m}} \\ $ $\sqrt{\dfrac{4k}{m}}$
Arjun
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in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set2
applied-mechanics-and-design
machine-design
springs
0
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0
votes
GATE2017 ME-1: 46
A thin uniform rigid bar of Length $L$ and mass $M$ is hinged at point $O$, located at a distance of $\dfrac{L}{3}$ from one of its ends. The bar is further supported using springs, each of stiffness $k$, located at the two ends. A particle of mass $m=\dfrac{M}{4}$ is fixed at ... $\sqrt{\dfrac{5k}{2M}} \\$ $\sqrt{\dfrac{3k}{2M}} \\$ $\sqrt{\dfrac{3k}{M}}$
Arjun
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in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.4k
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gateme-2017-set1
applied-mechanics-and-design
machine-design
springs
0
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0
votes
GATE2017 ME-1: 18
The damping ratio for a viscously damped spring-mass system, governed by the relationship $m \dfrac{d^{2}x}{dt^{2}}+c\dfrac{dx}{dt}+kx=F(t)$, is given by $\sqrt{\dfrac{c}{mk}} \\$ $\dfrac{c}{2\sqrt{km}} \\$ $\dfrac{c}{\sqrt{km}} \\$ $\sqrt{\dfrac{c}{2mk}}$
Arjun
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in
Applied Mechanics and Design
Feb 27, 2017
by
Arjun
27.4k
points
gateme-2017-set1
applied-mechanics-and-design
machine-design
springs
0
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0
votes
GATE2016-3-37
A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of $\sqrt{\dfrac{3k}{m}}$, the ratio of the amplitude of steady state response to the static deflection of the spring is __________
Arjun
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in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
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gateme-2016-set3
numerical-answers
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2016-3-11
The static deflection of a spring under gravity, when a mass of $1 \:kg$ is suspended from it, is $1 \: mm$. Assume the acceleration due to gravity $g =10 \: m/s^2$. The natural frequency of this spring-mass system (in $rad/s$) is_____________
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set3
numerical-answers
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2016-2-37
The system shown in the figure consists of block A of mass $5$ $kg$ connected to a spring through a massless rope passing over pulley B of radius $r$ and mass $20$ $kg$. The spring constant $k$ is $1500$ $N/m$. If there is no slipping of the rope over the pulley, the natural frequency of the system is_____________ $rad/s$.
Arjun
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in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set2
numerical-answers
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2016-2-10
A single degree of freedom mass-spring-viscous damper system with mass $m$, spring constant $k$ and viscous damping coefficient $q$ is critically damped. The correct relation among $m$, $k$, and $q$ is $q=\sqrt{2km} \\$ $q=2\sqrt{km} \\$ $q=\sqrt{\dfrac{2k}{m}} \\$ $q=2\sqrt{\dfrac{k}{m}}$
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
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gateme-2016-set2
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2016-1-37
A solid disc with radius $a$ is connected to a spring at a point $d$ above the center of the disc. The other end of the spring is fixed to the vertical wall. The disc is free to roll without slipping on the ground. The mass of the disc is $M$ and the spring constant is $K$. The ... $\displaystyle{\sqrt{\frac{2K(a+d)^2}{Ma^2}}} \\$ $\displaystyle{\sqrt{\frac{K(a+d)^2}{Ma^2}}}$
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Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2016-1-12
The spring constant of a helical compression spring DOES NOT depend on coil diameter material strength number of active turns wire diameter
Arjun
asked
in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
points
gateme-2016-set1
applied-mechanics-and-design
machine-design
springs
0
answers
0
votes
GATE2016-1-11
A single degree of freedom spring mass system with viscous damping has a spring constant of $10$ $kN/m$. The system is excited by a sinusoidal force of amplitude $100$ $N$. If the damping factor (ratio) is $0.25$, the amplitude of steady state oscillation at resonance is ________$mm$.
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in
Applied Mechanics and Design
Feb 24, 2017
by
Arjun
27.4k
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gateme-2016-set1
numerical-answers
applied-mechanics-and-design
machine-design
springs
0
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0
votes
GATE Mechanical 2014 Set 3 | Question: 33
The damping ratio of a single degree of freedom spring-mass-damper system with mass of $1 kg$, stiffness $100 N/m$ and viscous damping coefficient of $25 N.s/m$ is _______
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Applied Mechanics and Design
Feb 19, 2017
by
Arjun
27.4k
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gateme-2014-set3
numerical-answers
applied-mechanics-and-design
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