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GATE 2019: Theory of Machine Quiz 7 (App update required to attempt this test)

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Question 1

For an under damped system, if the ratio of two successive peak is 20, then the minimum damping ratio (ζ) will be

Question 2

A certain system on earth vibrates for time period T, if the same system is now excited on moon, the time period will

Question 3

For which of the following values of ω, damper should not be used, where ω has its usual meaning. The motor has a mass of 10 kg and is mounted on a spring of stiffness 6.25 kN/m?

Question 4

The roller rolls on the surface without slipping. For what value of ‘a ’ (in metre), the natural frequency of the oscillation will be 2.339 Hz?


Mass of roller =10 kg
Radius of roller = 10 cm
S = 500 N/m

Question 5

A mass spring dashpot system with mass m = 10kg, spring constant k=6250 N/m is excited by a harmonic excitation of 10cos(25t). At steady condition, the vibration amplitude of the mass is 40 mm. The damping coefficient (c, in Ns/m) of the dashpot will be

Question 6

Calculate the frequency of the system?
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