GATE ME topic:vibrations PYQs & Answers — Page 3

Questions 21–27 of 27. Imported answers require independent review unless marked reviewed.

The equation of motion for a spring-mass system excited by a harmonic force is

where M is the mass, K is the spring stiffness, F is the force amplitude and ω is the angular frequency of excitation. Resonance occurs when ω is equal to

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In a single degree of freedom underdamped spring-mass-damper system as shown in the figure, an additional damper is added in parallel such that the system still remains underdamped. Which one of the following statements is ALWAYS true?

Diagram for Mechanical Engineering question 7

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Transmissibility will increase.

Transmissibility will decrease.

Time period of free oscillations will increase.

Time period of free oscillations will decrease.

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A machine of mass

kg is supported on two mounts, each of stiffness

kN/m. The machine is subjected to an external force (in N)

. Assuming only vertical translation motion, the magnitude of the dynamic force (in N) transmitted from each mount to the ground is _____ (correct to two decimal places).

Diagram for Mechanical Engineering question 40

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A mass

is attached to two identical springs having spring constant

as shown in the figure

Diagram for Mechanical Engineering question 6

. The natural frequency

of this single degree of freedom system is

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The damping ratio for a viscously damped spring mass system, governed by the relationship

, is given by

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The radius of gyration of a compound pendulum about the point of suspension is 100 mm. The distance between the point of suspension and the centre of mass is 250 mm. Considering the acceleration due to gravity as 9.81 m/s², the natural frequency (in radian/s) of the compound pendulum is ________.

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A thin uniform rigid bar of length

and mass

is hinged at point O, located at a distance of

from one of its ends. The bar is further supported using springs, each of stiffness

, located at the two ends. A particle of mass

is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about O, the natural frequency of the system is

Diagram for Mechanical Engineering question 46

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GATE ME topic:vibrations PYQs

Question 7

Question 7

Question 40

Question 6

Question 18

Question 31

Question 46