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
11th Edition
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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
Transcribed Image Text: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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