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(6) Consider the spring-mass system whose motion is governed by the initial value problem d²y + 16y = 0, dt2 y(0) = 24, y'(0) = –28. Determine the circular frequency of the system and the amplitude.

(6) Consider the spring-mass system whose motion is governed by the initial value problem d²y + 16y = 0, dt2 y(0) = 24, y'(0) = –28. Determine the circular frequency of the system and the amplitude.

Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.44P: Consider a damped harmonic oscillator. After four cycles the amplitude of the oscillator has dropped...
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(6) Consider the spring-mass system whose motion is governed by the initial value problem d²y + 16y = 0, dt2 y(0) = 24, y'(0) = –28. Determine the circular frequency of the system and the amplitude.
Transcribed Image Text:(6) Consider the spring-mass system whose motion is governed by the initial value problem d²y + 16y = 0, dt2 y(0) = 24, y'(0) = –28. Determine the circular frequency of the system and the amplitude.
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