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# GATE 2022 ME: Theory of Machines Quiz - 9

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Question 1

Rayleigh’s method of computing the fundamental nature frequency is based on

Question 2

Match List-I (property) with List-II (System) and select the correct answer using the code given below the lists:
List-I
A) Resonance
B) On-off control
C) Natural frequency
D) Feedback signal
List-II
1) Closed-loop control system
2) Free vibrations
3) Excessively large amplitude
4) Mechanical brake

Question 3

The equation of free vibration of a system is . Its natural frequency would be

Question 4

Two heavy rotors are mounted on a single shaft. Considering each of the rotors separately, the transverse natural frequencies are 100 cycles/s and 200 cycles/s, respectively. The lower critical speed will be

Question 5

The equation of motion of a linear vibratory system with a single degree of freedom is The critical damping coefficient for the system is ___________.

Question 6

A simple spring-mass vibrating system has a natural frequency of N. If the spring stiffness is halved and the mass doubled, then the natural frequency will be
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