GATE ME 2010 | Vibrations Question 42 | Theory of Machines

GATE ME 2010

MCQ (Single Correct Answer)

-0.3

The natural frequency of a spring-mass system on earth is $${\omega _n}.$$ The natural frequency of this system on the moon (g_moon = g_earth/6) is

$${\omega _n}$$

$$0.408$$$${\omega _n}$$

$$0.204$$$${\omega _n}$$

$$0.167$$$${\omega _n}.$$

GATE ME 2009

MCQ (Single Correct Answer)

-0.3

The rotor shaft of a large electric motor supported between short bearings at both the ends shows a deflection of $$1.8$$ mm in the middle of the rotor. Assuming the rotor to be perfectly balanced and supported at knife edges at both the ends, the likely critical speed (in rpm) of the shaft is

$$350$$

$$705$$

$$2810$$

$$4430$$

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 68 English

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

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

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

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

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