1
GATE ME 2007
MCQ (Single Correct Answer)
+2
-0.6
The speed of an engine varies from $$210$$ rad/s to $$190$$ rad/s. During cycle the change in kinetic energy is found to be $$400$$ Nm. The inertia of the flywheel in kgm2 is
A
$$0.10$$
B
$$0.20$$
C
$$0.30$$
D
$$0.40$$
2
GATE ME 2007
MCQ (Single Correct Answer)
+1
-0.3
For an under damped harmonic oscillator, resonance
A
occurs when excitation frequency is greater than undamped natural frequency.
B
occurs when excitation frequency is less than undamped natural frequency
C
occurs when excitation frequency is equal to undamped natural frequency
D
never occurs
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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