1
GATE ME 2007
MCQ (Single Correct Answer)
+2
-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
A
$$X{e^{ - 2n\pi \left( {{\xi \over {\sqrt {1 - {\xi ^2}} }}} \right)}}$$
B
$$X{e^{2n\pi \left( {{\xi \over {\sqrt {1 - {\xi ^2}} }}} \right)}}$$
C
$$X{e^{ - 2n\pi \left( {{{\sqrt {1 - {\xi ^2}} } \over \xi }} \right)}}$$
D
$$X$$
2
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
The natural frequency of the system shown below is GATE ME 2007 Theory of Machines - Vibrations Question 12 English
A
$$\sqrt {{{k} \over 2m}} $$
B
$$\sqrt {{{k} \over m}} $$
C
$$\sqrt {{{2k} \over m}} $$
D
$$\sqrt {{{3k} \over m}} $$
3
GATE ME 2006
MCQ (Single Correct Answer)
+2
-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
A
$$0.0531$$
B
$$0.9922$$
C
$$0.0162$$
D
$$0.0028$$
4
GATE ME 2006
MCQ (Single Correct Answer)
+2
-0.6
A vibratory system consists of a mass $$12.5$$ kg, a spring of stiffness $$1000$$ $$N/m,$$ and a dashpot with damping coefficient of $$15$$ $$Ns/m.$$

The value of logarithmic decrement is

A
$$1.35$$
B
$$0.42$$
C
$$0.68$$
D
$$0.66$$
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