GATE ME 2015 Set 1 | Vibrations Question 23 | Theory of Machines

GATE ME 2015 Set 1

Numerical

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A precision instrument package (m = 1kg) needs to be mounted on a surface vibrating at 60 Hz. It is desired that only 5% of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency significantly lesser than 60Hz, so that the effect of damping may be ignored. The stiffness (in N/m) of the required mounting pad is _____________.

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GATE ME 2015 Set 1

MCQ (Single Correct Answer)

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Considering massless rigid rod and small oscillations, the natural frequency (in rad/s) of vibration of the system shown in the figure is GATE ME 2015 Set 1 Theory of Machines - Vibrations Question 25 English

GATE ME 2015 Set 1 Theory of Machines - Vibrations Question 25 English

$$\sqrt {{{400} \over 1}} $$

$$\sqrt {{{400} \over 2}} $$

$$\sqrt {{{400} \over 3}} $$

$$\sqrt {{{400} \over 4}} $$

GATE ME 2015 Set 3

MCQ (Single Correct Answer)

-0.6

Figure shows a single degree of freedom system. The system consists of a mass less rigid bar $$OP$$ hinged at $$O$$ and a mass $$m$$ at end $$P.$$ The natural frequency of vibration of the system is GATE ME 2015 Set 3 Theory of Machines - Vibrations Question 21 English

GATE ME 2015 Set 3 Theory of Machines - Vibrations Question 21 English

$${f_n} = {1 \over {2\pi }}\sqrt {{k \over {4m}}} $$

$${f_n} = {1 \over {2\pi }}\sqrt {{k \over {2m}}} $$

$${f_n} = {1 \over {2\pi }}\sqrt {{k \over {m}}} $$

$${f_n} = {1 \over {2\pi }}\sqrt {{{2k} \over m}} $$

GATE ME 2014 Set 1

MCQ (Single Correct Answer)

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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 GATE ME 2014 Set 1 Theory of Machines - Vibrations Question 30 English