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GATE ME 2006

MCQ (Single Correct Answer)

-0.3

The differential equation governing the vibrating system is GATE ME 2006 Theory of Machines - Vibrations Question 65 English

$$m\mathop x\limits^{ \bullet \bullet } + c\mathop x\limits^{ \bullet \bullet } + k\left( {x - y} \right) = 0$$

$$m\left( {\mathop x\limits^{ \bullet \bullet } - \mathop y\limits^{ \bullet \bullet } } \right) + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + kx = 0$$

$$m\mathop x\limits^{ \bullet \bullet } + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + kx = 0$$

$$m\left( {\mathop x\limits^{ \bullet \bullet } - \mathop y\limits^{ \bullet \bullet } } \right) + c\left( {\mathop x\limits^ \bullet - \mathop y\limits^ \bullet } \right) + k\left( {x - y} \right) = 0$$

GATE ME 2006

MCQ (Single Correct Answer)

-0.6

A machine of $$250$$ kg mass is supported on springs of total stiffness $$100$$ kN/m. Machine has an unbalanced rotating force of $$350$$ N at speed of $$3600$$ rpm. Assuming a damping factor of $$0.15,$$ the value of transmissibility ratio is

$$0.0531$$

$$0.9922$$

$$0.0162$$

$$0.0028$$

GATE ME 2006

MCQ (Single Correct Answer)

-0.6

A vibratory system consists of a mass $$12.5$$ kg, a spring of stiffness $$1000$$ $$N/m,$$ and a dashpot with damping coefficient of $$15$$ $$Ns/m.$$

The value of logarithmic decrement is

$$1.35$$

$$0.42$$

$$0.68$$

$$0.66$$

GATE ME 2006

MCQ (Single Correct Answer)

-0.6

A vibratory system consists of a mass $$12.5$$ kg, a spring of stiffness $$1000$$ $$N/m,$$ and a dashpot with damping coefficient of $$15$$ $$Ns/m.$$

The value of critical damping of the system is:

$$0.223$$ $$Ns/m$$

$$17.88$$ $$Ns/m$$

$$71.4$$ $$Ns/m$$

$$223.6$$ $$Ns/m$$

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