1
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
A uniform rigid rod of mass $$m =1kg$$ and length $$L=1$$ m is hinged at its centre & laterally supported at one end by a spring of spring constant $$k=300N/m.$$ The natural frequency $${\omega _n}$$ in rad/s is
A
$$10$$
B
$$20$$
C
$$30$$
D
$$40$$
2
GATE ME 2008
MCQ (Single Correct Answer)
+2
-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 9 English
A
$$8Hz$$
B
$$10Hz$$
C
$$12Hz$$
D
$$14Hz$$
3
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
$$X$$
4
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 10 English
A
$$\sqrt {{{k} \over 2m}} $$
B
$$\sqrt {{{k} \over m}} $$
C
$$\sqrt {{{2k} \over m}} $$
D
$$\sqrt {{{3k} \over m}} $$
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