1
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 $$8.50$$ $$Hz$$
2
GATE ME 2008
+2
-0.6
A uniform rigid rod of mass $$m =1kg$$ and length $$L=1$$ m is hinged at its centre & laterally supported at one end by a spring of spring constant $$k=300N/m.$$ The natural frequency $${\omega _n}$$ in rad/s is
A
$$10$$
B
$$20$$
C
$$30$$
D
$$40$$
3
GATE ME 2008
+2
-0.6
The natural frequency of the spring mass system shown in the figure is closest to
A
$$8Hz$$
B
$$10Hz$$
C
$$12Hz$$
D
$$14Hz$$
4
GATE ME 2007
+2
-0.6
The equation of motion of a harmonic oscillator is given by $${{{d^2}x} \over {d{t^2}}} + 2\xi {\omega _n}{{dx} \over {dt}} + \omega _n^2\,x = 0\,\,\,$$ and the initial conditions at $$t=0$$ are $$\,x\left( 0 \right) = X,{{dx} \over {dt}}\left( 0 \right) = 0.\,\,$$
The amplitude of $$x(t)$$ after $$n$$ complete cycles is
A
$$X{e^{ - 2n\pi \left( {{\xi \over {\sqrt {1 - {\xi ^2}} }}} \right)}}$$
B
$$X{e^{2n\pi \left( {{\xi \over {\sqrt {1 - {\xi ^2}} }}} \right)}}$$
C
$$X{e^{ - 2n\pi \left( {{{\sqrt {1 - {\xi ^2}} } \over \xi }} \right)}}$$
D
$$X$$
GATE ME Subjects
EXAM MAP
Medical
NEET