GATE ME 2014 Set 1 | Vibrations Question 30 | Theory of Machines

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

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

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

$$\sqrt {{K \over m}} $$

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

$$\sqrt {{5K \over m}} $$

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 ___________

Your input ____

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 29 English

GATE ME 2014 Set 2 Theory of Machines - Vibrations Question 29 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 3

Numerical

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A mass-spring-dashpot system with mass m = 10 kg, spring constant k = 6250 N/m is excited by a harmonic excitation of 10 cos(25t) N. At the steady state, the vibration amplitude of the mass is 40mm. The damping coefficient (c, in N.s/m) of the dashpot is ______________ GATE ME 2014 Set 3 Theory of Machines - Vibrations Question 27 English