1
GATE ME 2015 Set 1
+2
-0.6
A mobile phone has a small motor with an eccentric mass used for vibrator mode. The location of the eccentric mass on motor with respect to center of gravity $$(CG)$$ of the mobile and the rest of the dimensions of the mobile phone are shown. The mobile is kept on a flat horizontal surface. Given in addition that the eccentric mass = $$2$$ grams, eccentricity = $$2.19$$ mm, mass of the mobile = $$90$$ grams, g = $$9.81$$ $$m/{s^2}.$$ Uniform speed of the motor in $$RPM$$ for which the mobile will get just lifted off the ground at the end $$Q$$ is approximately

A
$$3000$$
B
$$3500$$
C
$$4000$$
D
$$4500$$
2
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
$$\sqrt {{{400} \over 4}}$$
3
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
$$\sqrt {{{{K_1} + {K_2}} \over m}}$$
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 _________.
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
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