1
GATE ME 2017 Set 1
+1
-0.3
The damping ratio for a viscously damped spring mass system, governed by the relationship $$\,m{{{d^2}x} \over {d{t^2}}} + c{{dx} \over {dt}} + kx = f\left( t \right),\,\,\,$$ is given by
A
$$\sqrt {{c \over {mk}}}$$
B
$${c \over {2\sqrt {km} }}$$
C
$${c \over {\sqrt {km} }}$$
D
$$\sqrt {{c \over {2mk}}}$$
2
GATE ME 2016 Set 1
Numerical
+1
-0
A single degree of freedom spring mass system with viscous damping has a spring constant of 10 kN/m. The system is excited by a sinusoidal force of amplitude 100 N. If the damping factor (ratio) is 0.25, the amplitude of steady state oscillation at resonance is ________mm.
3
GATE ME 2016 Set 3
Numerical
+1
-0
The static deflection of a spring under gravity, when a mass of 1 kg is suspended from it, is 1 mm. Assume the acceleration due to gravity g =10 m/s2 . The natural frequency of this spring-mass system (in rad/s) is _____________
4
GATE ME 2015 Set 3
+1
-0.3
Which of the following statements are TRUE for damped vibrations?

$$P.$$ For a system having critical damping, the value of damping ratio is unity and system does not undergo a vibratory motion.
$$Q.$$ Logarithmic decrement method is used to determine the amount of damping in a physical system.
$$R.$$ In case of damping due to dry friction between moving surfaces resisting force of constant magnitude acts opposite to the relative motion.
$$S.$$ For the case of viscous damping, drag force is directly proportional to the square of relative velocity.

A
$$P$$ and $$Q$$ only
B
$$P$$ and $$S$$ only
C
$$P,Q$$ and $$R$$ only
D
$$Q$$ and $$S$$ only
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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