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GATE Prev Year : Vibrations Test-5

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Question 1

In a spring-mass system, the mass is m and the spring constant is k. The critical damping coefficient of the system is 0.1 kg/s. In another spring-mass system, the mass is 2m and the spring constant is 8k. The critical damping coefficient (in kg/s) of this system is _________

Question 2

In vibration isolation, which one or the following statements is NOT correct regarding

Transmissibility (T)?

Question 3

A single degree of freedom system having mass 1 kg and stiffness 10 kN/m initially at rest is subjected to an impulse force of magnitude 5 kN for 10^-4 seconds. The amplitude in mm of the resulting free vibration is

Question 4

A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. If the mass is 50 kg, then the damping factor (D) and damped natural frequency (f_n), respectively, are

Question 5

A rigid uniform rod AB of length L and mass m is hinged at C such that AC= L/3, CB = 2L/3. Ends A and B are supported by springs of spring constant k. The natural frequency of the system is given by

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Question 6

An automotive engine weighing 240 kg is supported on four springs with linear characteristics. Each of the front two springs have a stiffness of 16 MN/m while the stiffness of each rear spring is 32 MN/m. The engine seed (in rmp), at which resonance is likely to occur, is

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ESE & GATE ME Theory of Machines & Vibrations

Feb 26ESE & GATE ME