GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

Theory of Machines (TOM)

Mechanical Engineering : GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

The document GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev is a part of the Mechanical Engineering Course Theory of Machines (TOM).
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Try yourself:A slender uniform rigid bar of mass mis hinged at O an d supported by two springs, with stiffnesses 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√km should be
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev
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Try yourself:The natural frequencies corresponding to the spring-mass system I an d II are ωI an d ωII , respectively. The ratio GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRevis
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev
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Try yourself:A thin uniform rigid bar of length L and M is hinged at point O, located at a distance of 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 = M/4 is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about O, the natural frequency of the system is
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[2017]

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Try yourself:A mass m is attached to two identical springs having constant k as shown in the figure. The natural frequency w of this single degree of freedom system is
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[2017]

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Try yourself:Considering mass less rigid rod small oscillations, the natural frequency (in rad/s) of vibration of the system shown in the figure is
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[2015]

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Try yourself:What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless.The mass of the block is denoted by m and the spring constants are denoted by k1 and k2 as shown below
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Try yourself:A rigid uniform rod AB of length L and mass m is hinged at C such that AC = L/3, CB = 2L/3.
Ends A and B are supported by springs of spring constant k. The natural frequency of the system is given by
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[2014]

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Try yourself:A concentrated mass m is attached at the centre of a rod of Iength 2L as shown in the figure.
The rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of the system is
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[2012]

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Try yourself:A disc of mass m is attached to a spring of stiffness k as shown in the fig. The disc rolls without slipping on a horizontal surface. The natural frequency of vibration of the system is

GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

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Try yourself:The natural frequency of a spring-mass system on earth is wn. The natural frequency of this system on the moon

[2010]

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Try yourself:A uniform rigid rod of mass m = 1 kg and length L = 1 m is hinged at its centre & laterally supported at one end by a spring of spring constant k = 300 N/m. The natural frequency wn in rad/s is

[2008]

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Try yourself:The natural frequency of the spring mass system shown in the figure is closest to​

[2008 : 2 Marks]

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Try yourself: The natural frequency of the system shown below
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev
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Try yourself:For an under damped harmonic oscillator, resonance

[2007]

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Try yourself:A uniform stiff rod of length 300 mm and having a weight of 300 N is pivoted at one end and connected to a spring at the other end. For keeping the rod vertical in a stable position the minimum value of spring constant K needed is
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[2004]

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Try yourself:The assembly shown in the figure is composed of two massless rods of length l with two particles, each of mass m. The natural frequency of this assembly for small oscillations is
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[2001]

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Try yourself:In the figure shown, the spring deflects by d to position A (the equilibrium position) when a mass m is kept on it. During free vibration, the mass is at position B at some instant. The change in potential energy of the spring mass system from position A to position B is
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Try yourself:As shown in figure, a mass of 100 kg is held between two springs. The natural frequency of vibration of the system in cycle/s, is
GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[2000]

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Try yourself:Consider the system of two wagons shown in figure. The natural frequencies of this system are

[1999]

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Try yourself:A mass of 1 kg is suspended by means of 3 springs as shown in figure. The spring constant K1, K2 and K3 are respectively 1 kN/m, 3 kN/m and 2 kN/m. The natural frequency of the system is approximately

GATE Past Year Questions: Damped & Undamped Vibration Notes | EduRev

[1996]

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