GATE ME 2024 | Vibrations Question 1 | Theory of Machines

GATE ME 2024

MCQ (Single Correct Answer)

-0.33

A linear spring-mass-dashpot system with a mass of 2 kg is set in motion with viscous damping. If the natural frequency is 15 Hz, and the amplitudes of two successive cycles measured are 7.75 mm and 7.20 mm, the coefficient of viscous damping (in N.s/m) is

4.41

7.51

2.52

6.11

GATE ME 2017 Set 2

MCQ (Single Correct Answer)

-0.3

A mass $$m$$ is attached to two identical springs having spring constant $$k$$ as shown in the figure. The natural frequency of this single degree of freedom system is GATE ME 2017 Set 2 Theory of Machines - Vibrations Question 46 English

GATE ME 2017 Set 2 Theory of Machines - Vibrations Question 46 English

$$\sqrt {{{2k} \over m}} $$

$$\sqrt {{{k} \over m}} $$

$$\sqrt {{{k} \over 2m}} $$

$$\sqrt {{{4k} \over m}} $$

GATE ME 2017 Set 1

MCQ (Single Correct Answer)

-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

$$\sqrt {{c \over {mk}}} $$

$${c \over {2\sqrt {km} }}$$

$${c \over {\sqrt {km} }}$$

$$\sqrt {{c \over {2mk}}} $$

GATE ME 2016 Set 3

Numerical

-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 _____________

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