1
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
$$\sqrt {{{{K_1} + {K_2}} \over m}}$$
2
GATE ME 2014 Set 3
Numerical
+2
-0
The damping ratio of a single degree of freedom spring-mass-damper system with mass of $$1$$ kg, stiffness $$100 N/m$$ and viscous damping coefficient of $$25$$ $$N.s/m$$ is _____________
3
GATE ME 2014 Set 3
Numerical
+2
-0
A mass-spring-dashpot system with mass m = 10 kg, spring constant k = 6250 N/m is excited by a harmonic excitation of 10 cos(25t) N. At the steady state, the vibration amplitude of the mass is 40mm. The damping coefficient (c, in N.s/m) of the dashpot is ______________
4
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 _________.