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

• AConservation of energy
• BConservation of momentum
• CConservation of masses
• DLaws of statics

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

• AA-1; B-2; C-4; D-3
• BA-3; B-4; C-2; D-1
• CA-1; B-4; C-2; D-3
• DA-3; B-2; C-4; D-1

Question 3

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

• AHz
• B Hz
• CHz
• D4 HZ

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

• A12000 r.p.m.
• B9360 r.p.m.
• C8465 r.p.m.
• D5367 r.p.m.

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 ___________.

• A32
• B16
• C8
• D4

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

• A0.5 N
• BN
• C2N
• D4N

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