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 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
$$1$$
3
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
$${1 \over {2\,\pi }}\sqrt {{{3K} \over {2\,m}}}$$
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
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude
EXAM MAP
Joint Entrance Examination