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1
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
A flexible rotor-shaft system comprises of a $$10kg$$ rotor disc placed in the middle of a mass-less shaft of diameter $$30$$ $$mm$$ and length $$500mm$$ between bearings (shaft is being taken mass-less as the equivalent mass of the shaft is included in the rotor mass) mounted at the ends. The bearings are assumed to simulate simply supported boundary conditions. The shaft is made of steel for which the value of $$E$$ is $$\,2.1\, \times \,{10^{11}}\,$$. Pa. What is the critical speed of rotation of the shaft?
A
$$60$$ $$Hz$$
B
$$90$$ $$Hz$$
C
$$135$$ $$Hz$$
D
$$180$$ $$Hz$$
2
GATE ME 2001
MCQ (Single Correct Answer)
+2
-0.6
The assembly shown in the figure is composed of two massless rods of length $$l$$ with two particles, each of mass $$m$$. The natural frequency of this assembly for small oscillations is GATE ME 2001 Theory of Machines - Vibrations Question 47 English
A
$$\sqrt {g/\ell } $$
B
$$\sqrt {2g/\left( {\ell \cos \alpha } \right)} $$
C
$$\sqrt {g/\left( {\ell \cos \alpha } \right)} $$
D
$$\sqrt {\left( {g\cos \alpha } \right)/\ell } $$
3
GATE ME 2000
MCQ (Single Correct Answer)
+2
-0.6
As shown in Figure, a mass of 100 kg is held between two springs. The natural frequency of vibration of the system, in cycles/s, is GATE ME 2000 Theory of Machines - Vibrations Question 48 English
A
$${1 \over {2\pi }}$$
B
$${5 \over {\pi }}$$
C
$${10 \over {\pi }}$$
D
$${20 \over {\pi }}$$
4
GATE ME 1999
MCQ (Single Correct Answer)
+2
-0.6
Consider the system of two wagons shown in Figure. The natural frequencies of this system are GATE ME 1999 Theory of Machines - Vibrations Question 49 English
A
$$0,\sqrt {{{2k} \over m}} $$
B
$$\sqrt {{k \over m}} ,\sqrt {{{2k} \over m}} $$
C
$$\sqrt {{k \over m}} ,\sqrt {{k \over {2m}}} $$
D
$$0,\sqrt {{{k} \over 2m}} $$
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GATE ME Subjects
Engineering Mechanics
Engineering Mechanics Static and Dynamics
Machine Design
Bolted Riveted and Welded Joints Design For Static Loading Design of Bearings Design of Brakes and Clutches Design of Spur Gears Fatigue Strength
Strength of Materials
Springs Pure Bending Stresses In Beams Simple Stress and Strain Complex Stresses Moment of Inertia Deflection of Beams Shear Force and Bending Moment Torsion Thin Cylinders Columns and Struts Strain Energy Method
Heat Transfer
Conduction Fin Design and Transient Heat Conduction Convection Radiation Heat Exchangers
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Industrial Engineering
Queuing Production Planning and Control Line Balancing Forecasting Pert and Cpm Inventory Control Transportation Scheduling Linear Programming Assignment
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Theory of Machines
Vibrations Gears and Gear Trains Flywheel Analysis of Plane Mechanisms
Engineering Mathematics
Linear Algebra Vector Calculus Probability and Statistics Differential Equations Transform Theory Calculus Complex Variable Numerical Methods
Fluid Mechanics
Fluid Properties Fluid Statics Boundary Layer Turbulent Flow Laminar Flow Fluid Dynamics Fluid Kinematics
Thermodynamics
Calculation of Work and Heat Entropy and Irreversibility Properties of Pure Substances Basic Concepts and Zeroth Law First Law of Thermodynamics Rankine Cycle Availability Second Law of Thermodynamics
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