1
GATE ME 2012
+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
A
$$\sqrt {{{K} \over m}}$$
B
$$\sqrt {{{2K} \over m}}$$
C
$$\sqrt {{K \over {2m}}}$$
D
$$\sqrt {{{4K} \over m}}$$
2
GATE ME 2011
+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
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
$${1 \over {2\,\pi }}\sqrt {{{3K} \over {2\,m}}}$$
3
GATE ME 2011
+2
-0.6
A mass of $$1$$ kg is attached to two identical springs each with stiffness $$k=20kN/m$$ as shown in the figure. Under frictionless condition, the natural frequency of the system in $$Hz$$ is close to
A
$$32$$
B
$$23$$
C
$$16$$
D
$$1$$
4
GATE ME 2010
+2
-0.6
A mass $$m$$ attached to a spring is subjected to a harmonic force as shown in the figure. The amplitude of the forced motion is observed to be $$50$$ mm. The value of m (in kg) is
A
$$0.1$$
B
$$1.0$$
C
$$0.3$$
D
$$0.5$$
GATE ME Subjects
EXAM MAP
Medical
NEET