GATE ME 2008 | Vibrations Question 48 | Theory of Machines

GATE ME 2008

MCQ (Single Correct Answer)

-0.6

The natural frequency of the spring mass system shown in the figure is closest to GATE ME 2008 Theory of Machines - Vibrations Question 19 English

$$8Hz$$

$$10Hz$$

$$12Hz$$

$$14Hz$$

GATE ME 2007

MCQ (Single Correct Answer)

-0.6

The equation of motion of a harmonic oscillator is given by $${{{d^2}x} \over {d{t^2}}} + 2\xi {\omega _n}{{dx} \over {dt}} + \omega _n^2\,x = 0\,\,\,$$ and the initial conditions at $$t=0$$ are $$\,x\left( 0 \right) = X,{{dx} \over {dt}}\left( 0 \right) = 0.\,\,$$
The amplitude of $$x(t)$$ after $$n$$ complete cycles is

$$X{e^{ - 2n\pi \left( {{\xi \over {\sqrt {1 - {\xi ^2}} }}} \right)}}$$

$$X{e^{2n\pi \left( {{\xi \over {\sqrt {1 - {\xi ^2}} }}} \right)}}$$

$$X{e^{ - 2n\pi \left( {{{\sqrt {1 - {\xi ^2}} } \over \xi }} \right)}}$$

$$X$$

GATE ME 2007

MCQ (Single Correct Answer)

-0.6

The natural frequency of the system shown below is GATE ME 2007 Theory of Machines - Vibrations Question 20 English

$$\sqrt {{{k} \over 2m}} $$

$$\sqrt {{{k} \over m}} $$

$$\sqrt {{{2k} \over m}} $$

$$\sqrt {{{3k} \over m}} $$

GATE ME 2006

MCQ (Single Correct Answer)

-0.6

A machine of $$250$$ kg mass is supported on springs of total stiffness $$100$$ kN/m. Machine has an unbalanced rotating force of $$350$$ N at speed of $$3600$$ rpm. Assuming a damping factor of $$0.15,$$ the value of transmissibility ratio is

$$0.0531$$

$$0.9922$$

$$0.0162$$

$$0.0028$$

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