1
GATE ME 2011
MCQ (Single Correct Answer)
+2
-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
A
$${1 \over {2\,\pi }}\sqrt {{K \over m}} $$
B
$${1 \over {2\,\pi }}\sqrt {{{2K} \over m}} $$
C
$${1 \over {2\,\pi }}\sqrt {{{2K} \over {3\,m}}} $$
D
$${1 \over {2\,\pi }}\sqrt {{{3K} \over {2\,m}}} $$
2
GATE ME 2010
MCQ (Single Correct Answer)
+2
-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
A
$$0.1$$
B
$$1.0$$
C
$$0.3$$
D
$$0.5$$
3
GATE ME 2009
MCQ (Single Correct Answer)
+2
-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
A
$$6040$$
B
$$3020$$
C
$$1424$$
D
$$955$$
4
GATE ME 2009
MCQ (Single Correct Answer)
+2
-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
A
$$0.47$$ and $$1.19$$ $$Hz$$
B
$$0.471$$ and $$7.48$$ $$Hz$$
C
$$0.666$$ and $$1.35$$ $$Hz$$
D
$$0.666$$ and $$8.50$$ $$Hz$$
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