1
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 10 English
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2
GATE ME 2016 Set 1
MCQ (Single Correct Answer)
+2
-0.6
A solid disc with radius a is connected to a spring at a point $$d$$ above the center of the disc. The other end of the spring is fixed to the vertical wall. The disc is free to roll without slipping on the ground. The mass of the disc is $$M$$ and the spring constant is $$K$$. The polar moment of inertia for the disc about its centre is $$J = {{M{a^2}} \over 2}$$ GATE ME 2016 Set 1 Theory of Machines - Vibrations Question 8 English

The natural frequency of this system in rad/s is given by

A
$$\sqrt {{{2K{{\left( {a + d} \right)}^2}} \over {3M{a^2}}}} $$
B
$$\sqrt {{{2K} \over {3M}}} $$
C
$$\sqrt {{{2K{{\left( {a + d} \right)}^2}} \over {M{a^2}}}} $$
D
$$\sqrt {{{K{{\left( {a + d} \right)}^2}} \over {M{a^2}}}} $$
3
GATE ME 2015 Set 3
MCQ (Single Correct Answer)
+2
-0.6
Figure shows a single degree of freedom system. The system consists of a mass less rigid bar $$OP$$ hinged at $$O$$ and a mass $$m$$ at end $$P.$$ The natural frequency of vibration of the system is GATE ME 2015 Set 3 Theory of Machines - Vibrations Question 13 English
A
$${f_n} = {1 \over {2\pi }}\sqrt {{k \over {4m}}} $$
B
$${f_n} = {1 \over {2\pi }}\sqrt {{k \over {2m}}} $$
C
$${f_n} = {1 \over {2\pi }}\sqrt {{k \over {m}}} $$
D
$${f_n} = {1 \over {2\pi }}\sqrt {{{2k} \over m}} $$
4
GATE ME 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A single-degree-freedom spring mass system is subjected to a sinusoidal force of $$10$$ N amplitude and frequency $$\omega $$ along the axis of the spring. The stiffness of the spring is $$150$$N/m, damping factor is $$0.2$$ and the undamped natural frequency is $$10$$$$\omega $$. At steady state, the amplitude of vibration (in m) is approximately
A
$$0.05$$
B
$$0.07$$
C
$$0.70$$
D
$$0.90$$
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