GATE ME 2007 | Vibrations Question 48 | Theory of Machines

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GATE ME 2007

MCQ (Single Correct Answer)

-0.3

For an under damped harmonic oscillator, resonance

occurs when excitation frequency is greater than undamped natural frequency.

occurs when excitation frequency is less than undamped natural frequency

occurs when excitation frequency is equal to undamped natural frequency

never occurs

GATE ME 2006

MCQ (Single Correct Answer)

-0.3

The differential equation governing the vibrating system is GATE ME 2006 Theory of Machines - Vibrations Question 65 English

$$m\mathop x\limits^{ \bullet \bullet } + c\mathop x\limits^{ \bullet \bullet } + k\left( {x - y} \right) = 0$$

$$m\left( {\mathop x\limits^{ \bullet \bullet } - \mathop y\limits^{ \bullet \bullet } } \right) + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + kx = 0$$

$$m\mathop x\limits^{ \bullet \bullet } + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + kx = 0$$

$$m\left( {\mathop x\limits^{ \bullet \bullet } - \mathop y\limits^{ \bullet \bullet } } \right) + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + k\left( {x - y} \right) = 0$$

GATE ME 2005

MCQ (Single Correct Answer)

-0.3

There are four samples P, Q, R and S, with natural frequencies 64, 96, 128 and 256 Hz, respectively. There are mounted on test setups for conducting vibration experiments. If a loud pure not of frequency 144Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration?

GATE ME 2004

MCQ (Single Correct Answer)

-0.3

A vibrating machine is isolated from the floor using springs. If the ratio of excitation frequency of vibration of machine to the natural frequency of the isolation system is equal to 0.5, the transmissibility ratio of isolation is

$${1 \over 2}$$

$${3 \over 4}$$

$${4 \over 3}$$

$$2$$

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