1
GATE ME 2015 Set 1
+2
-0.6
Considering massless rigid rod and small oscillations, the natural frequency (in rad/s) of vibration of the system shown in the figure is
A
$$\sqrt {{{400} \over 1}}$$
B
$$\sqrt {{{400} \over 2}}$$
C
$$\sqrt {{{400} \over 3}}$$
D
$$\sqrt {{{400} \over 4}}$$
2
GATE ME 2014 Set 2
+2
-0.6
What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denoted by $$m$$ and the spring constants are denoted by $${k_1}$$ and $${k_2}$$ as shown below.
A
$$\sqrt {{{{K_1} + {K_2}} \over {2m}}}$$
B
$$\sqrt {{{{K_1} + {K_2}} \over 4m}}$$
C
$$\sqrt {{{{K_1} - {K_2}} \over m}}$$
D
$$\sqrt {{{{K_1} + {K_2}} \over m}}$$
3
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 _________.
4
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
$$\sqrt {{5K \over m}}$$
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