GATE ME 2011 | Vibrations Question 41 | Theory of Machines

GATE ME 2011

MCQ (Single Correct Answer)

-0.6

A disc of mass m is attached to a spring of stiffness $$k$$ as shown in the figure. The disc rolls without slipping on a horizontal surface. The natural frequency of vibration of the system is GATE ME 2011 Theory of Machines - Vibrations Question 35 English

GATE ME 2011 Theory of Machines - Vibrations Question 35 English

$${1 \over {2\,\pi }}\sqrt {{K \over m}} $$

$${1 \over {2\,\pi }}\sqrt {{{2K} \over m}} $$

$${1 \over {2\,\pi }}\sqrt {{{2K} \over {3\,m}}} $$

$${1 \over {2\,\pi }}\sqrt {{{3K} \over {2\,m}}} $$

GATE ME 2010

MCQ (Single Correct Answer)

-0.6

A mass $$m$$ attached to a spring is subjected to a harmonic force as shown in the figure. The amplitude of the forced motion is observed to be $$50$$ mm. The value of m (in kg) is GATE ME 2010 Theory of Machines - Vibrations Question 36 English

GATE ME 2010 Theory of Machines - Vibrations Question 36 English

$$0.1$$

$$1.0$$

$$0.3$$

$$0.5$$

GATE ME 2009

MCQ (Single Correct Answer)

-0.6

A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is $$3.6$$ kN/m and the damping constant of the damper is $$400$$ Ns/m. If the mass is $$50$$ kg, then the damping factor ($$\xi $$) and damped natural frequency ($${f_n}$$) respectively are

$$0.47$$ and $$1.19$$ $$Hz$$

$$0.471$$ and $$7.48$$ $$Hz$$

$$0.666$$ and $$1.35$$ $$Hz$$

$$0.666$$ and $$8.50$$ $$Hz$$

GATE ME 2009

MCQ (Single Correct Answer)

-0.6

An automotive engine weighing $$240$$ kg is supported on four springs with linear characteristics. Each of the front two springs have a stiffness of $$16$$ MN/m while the stiffness of each rear spring is $$32$$ MN/m. The engine speed (in rpm), at which resonance is likely to occur, is

$$6040$$

$$3020$$

$$1424$$

$$955$$

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