GATE ME 2015 Set 3 | Vibrations Question 22 | Theory of Machines

GATE ME 2015 Set 3

MCQ (Single Correct Answer)

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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 2014 Set 4

Numerical

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A single degree of freedom system has a mass of 2kg, stiffness 8 N/m and viscous damping ratio 0.02. The dynamic magnification factor at an excitation frequency of 1.5 rad/s is ___________

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GATE ME 2014 Set 2

MCQ (Single Correct Answer)

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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. GATE ME 2014 Set 2 Theory of Machines - Vibrations Question 26 English

GATE ME 2014 Set 2 Theory of Machines - Vibrations Question 26 English

$$\sqrt {{{{K_1} + {K_2}} \over {2m}}} $$

$$\sqrt {{{{K_1} + {K_2}} \over 4m}} $$

$$\sqrt {{{{K_1} - {K_2}} \over m}} $$

$$\sqrt {{{{K_1} + {K_2}} \over m}} $$

GATE ME 2014 Set 1

Numerical

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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 _________.

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