1
GATE ME 2017 Set 2
Numerical
+2
-0
The radius of gyration of a compound pendulum about the point of suspension is $$100$$ mm. The distance between the point of suspension and the centre of mass is $$250$$ mm. Considering the acceleration due to gravity as $$9.81$$ m/s2, the natural frequency (in radian/s) of the compound pendulum is _________.
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2
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A thin uniform rigid bar of length $$L$$ and mass $$M$$ is hinged at point $$O,$$ located at a distance of $${L \over 3}$$ from one of its ends. The bar is further supported using springs, each of stiffness $$k,$$ located at the two ends. A particle of mass $$m = {m \over 4}$$ is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about $$O,$$ the natural frequency of the systems is GATE ME 2017 Set 1 Theory of Machines - Vibrations Question 5 English
A
$$\sqrt {{{5k} \over {M}}} $$
B
$$\sqrt {{{5k} \over {2M}}} $$
C
$$\sqrt {{{3k} \over {2M}}} $$
D
$$\sqrt {{{3k} \over {M}}} $$
3
GATE ME 2016 Set 3
Numerical
+2
-0
A single degree of freedom spring-mass system is subjected to a harmonic force of constant amplitude. For an excitation frequency of $$\sqrt {{{3k} \over m}} ,$$ the ratio of the amplitude of steady state response to the static deflection of the spring is __________ GATE ME 2016 Set 3 Theory of Machines - Vibrations Question 7 English
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4
GATE ME 2016 Set 2
Numerical
+2
-0
The system shown in the figure consists of block A of mass 5 kg connected to a spring through a massless rope passing over pulley B of radius r and mass 20 kg. The spring constant k is 1500 N/m. If there is no slipping of the rope over the pulley, the natural frequency of the system is_____________ rad/s. GATE ME 2016 Set 2 Theory of Machines - Vibrations Question 8 English
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