1
GATE ME 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A rigid uniform rod $$AB$$ of length $$L$$ and mass $$m$$ is hinged at $$C$$ such that $$AC = L/3, CB = 2L/3.$$ Ends $$A$$ and $$B$$ are supported by springs of spring constant $$k.$$ The natural frequency of the system is given by GATE ME 2014 Set 1 Theory of Machines - Vibrations Question 22 English
A
$$\sqrt {{K \over 2m}} $$
B
$$\sqrt {{K \over m}} $$
C
$$\sqrt {{2K \over m}} $$
D
$$\sqrt {{5K \over m}} $$
2
GATE ME 2013
MCQ (Single Correct Answer)
+2
-0.6
A single degree of freedom system having mass $$1$$ $$kg$$ and stiffness $$10$$ $$kN/m$$ initially at rest is subjected to an impulse force of magnitude $$5$$ $$kN$$ for $${10^{ - 4}}$$ seconds. The amplitude in $$mm$$ of the resulting free vibration is
A
$$0.5$$
B
$$1.0$$
C
$$5.0$$
D
$$10.0$$
3
GATE ME 2012
MCQ (Single Correct Answer)
+2
-0.6
A concentrated mass $$m$$ is attached at the centre of a rod of length $$2L$$ as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness $$k.$$ For very small amplitude of vibration, neglecting the weights of the rod and spring, the un damped natural frequency of the system is GATE ME 2012 Theory of Machines - Vibrations Question 25 English
A
$$\sqrt {{{K} \over m}} $$
B
$$\sqrt {{{2K} \over m}} $$
C
$$\sqrt {{K \over {2m}}} $$
D
$$\sqrt {{{4K} \over m}} $$
4
GATE ME 2011
MCQ (Single Correct Answer)
+2
-0.6
A disc of mass m is attached to a spring of stiffness $$k$$ as shown in the figure. The disc rolls without slipping on a horizontal surface. The natural frequency of vibration of the system is GATE ME 2011 Theory of Machines - Vibrations Question 27 English
A
$${1 \over {2\,\pi }}\sqrt {{K \over m}} $$
B
$${1 \over {2\,\pi }}\sqrt {{{2K} \over m}} $$
C
$${1 \over {2\,\pi }}\sqrt {{{2K} \over {3\,m}}} $$
D
$${1 \over {2\,\pi }}\sqrt {{{3K} \over {2\,m}}} $$
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