a. Critically damped solutions of the mass-on-a-spring equationmu" + yu' + ku = 0exhibit sustained, long-term oscillations.TRUEFALSEb. The displacement of an underdamped mass-spring system is a quasi-periodicfunction (i.e. it shows periodic-like motion, but it is not truly periodic because itsamplitude is decreasing so it does not exactly repeat itself). It is oscillating atquasi-frequency, which is u radians per second. (It's just the frequency of thesinusoidal components of the displacement.) The peak- to-peak time of theoscillation is the quasi-period. The quasi-period of a mass undergoing damped freevibrations is the inverse of the natural period of the corresponding undampedsystem.TRUEFALSE

(a) FALSE In case of critically damped oscillations, the system returns to equilibrium as soon as…

Answered: oscillation is the quasi-period. The…

oscillation is the quasi-period. The quasi-period of a mass undergoing damped free vibrations is the inverse of the natural period of the corresponding undamped system. TRUE O FALSE

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter16: Oscillatory Motion And Waves

Section: Chapter Questions

Problem 46PE: Engineering Application: A suspension bridge oscillates with an effective force constant of...

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Question

a. Critically damped solutions of the mass-on-a-spring equation
mu" + yu' + ku = 0
exhibit sustained, long-term oscillations.
TRUE
FALSE
b. The displacement of an underdamped mass-spring system is a quasi-periodic
function (i.e. it shows periodic-like motion, but it is not truly periodic because its
amplitude is decreasing so it does not exactly repeat itself). It is oscillating at
quasi-frequency, which is u radians per second. (It's just the frequency of the
sinusoidal components of the displacement.) The peak- to-peak time of the
oscillation is the quasi-period. The quasi-period of a mass undergoing damped free
vibrations is the inverse of the natural period of the corresponding undamped
system.
TRUE
FALSE

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