Theory of Machines
Gears and Gear Trains
Marks 1Marks 2Marks 5
Analysis of Plane Mechanisms
Marks 1Marks 2
1
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 16 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
$$\sqrt {{{K{{\left( {a + d} \right)}^2}} \over {M{a^2}}}} $$
2
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 17 English
Your input ____
3
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 18 English
Your input ____
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
$$0.90$$
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