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GATE Prev Year : Vibrations Test-6
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Question 1
Which among the following are the examples of free vibrations?
Question 2
The natural frequency of a spring-mass system on earth is ωn. The natural frequency of this system on the moon (gmoon= gearth / 6) is
Question 3
A flexible rotor-shaft system comprises of a 10 kg 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 ×1011Pa.What is the critical speed of rotation of the shaft?
Question 4
A single-degree-freedom spring-mass system is subjected to a sinusoidal force of 10 N amplitude and frequency w 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 10w. At steady state, the amplitude of vibration (in m) is approximately
Question 5
Consider a cantilever beam, having negligible mass and uniform flexural rigidity, with length 0.01 m. The frequency of vibration of the beam, with a 0.5 kg mass attached at the free tip, is 100 Hz. The flexural rigidity (in N.
) of the beam is ________
) of the beam is ________ Question 6
A concentrated mass m is attached at the centre of a rod of length 2L as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of the system is
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