1
GATE ME 2014 Set 1
Numerical
+2
-0
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length $$0.01m$$. The frequency of vibration of the beam, with a $$0.5$$ kg mass attached at the free tip, is $$100Hz$$. The flexural rigidity (in $$N.{m^2}$$) of the beam is _________.
2
GATE ME 2014 Set 1
+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
A
$$\sqrt {{K \over 2m}}$$
B
$$\sqrt {{K \over m}}$$
C
$$\sqrt {{2K \over m}}$$
D
$$\sqrt {{5K \over m}}$$
3
GATE ME 2013
+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
$$10.0$$
4
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
$$\sqrt {{{4K} \over m}}$$
GATE ME Subjects
EXAM MAP
Medical
NEET