GATE ME 2015 Set 3 | Vibrations Question 17 | Theory of Machines

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 18 English

GATE ME 2015 Set 3 Theory of Machines - Vibrations Question 18 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 2015 Set 2

MCQ (Single Correct Answer)

-0.6

A single-degree-freedom spring mass system is subjected to a sinusoidal force of $$10$$ N amplitude and frequency $$\omega $$ along the axis of the spring. The stiffness of the spring is $$150$$N/m, damping factor is $$0.2$$ and the undamped natural frequency is $$10$$$$\omega $$. At steady state, the amplitude of vibration (in m) is approximately

$$0.05$$

$$0.07$$

$$0.70$$

$$0.90$$

GATE ME 2015 Set 1

MCQ (Single Correct Answer)

-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 GATE ME 2015 Set 1 Theory of Machines - Vibrations Question 22 English

GATE ME 2015 Set 1 Theory of Machines - Vibrations Question 22 English

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

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

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

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

GATE ME 2015 Set 1

Numerical

-0

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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