1
GATE ME 2011
+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 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
+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 A
$$0.1$$
B
$$1.0$$
C
$$0.3$$
D
$$0.5$$
3
GATE ME 2009
+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
+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 $$8.50$$ $$Hz$$
GATE ME Subjects
Engineering Mechanics
Machine Design
Strength of Materials
Heat Transfer
Production Engineering
Industrial Engineering
Turbo Machinery
Theory of Machines
Engineering Mathematics
Fluid Mechanics
Thermodynamics
General Aptitude
EXAM MAP
Joint Entrance Examination