Suppose there is now friction and the equation of motion becomes x+2yx+w²x = 0, where 0 is some constant of friction. γ i. Find the general solution for x(t), under the assumption that w. You do not need to impose initial conditions here. ii. What is the range of for which the above solution is (1) heavily damped; (2) lightly damped. What happens to the above solution and the physical system when y = w?

Essentials of Business Analytics (MindTap Course List)
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Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
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Chapter5: Probability: An Introduction To Modeling Uncertainty
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Suppose there is now friction and the equation of motion becomes
x+2yx+w²x = 0,
where 0 is some constant of friction.
γ
i. Find the general solution for x(t), under the assumption that w.
You do not need to impose initial conditions here.
ii. What is the range of for which the above solution is (1) heavily
damped; (2) lightly damped. What happens to the above solution
and the physical system when y = w?
Transcribed Image Text:Suppose there is now friction and the equation of motion becomes x+2yx+w²x = 0, where 0 is some constant of friction. γ i. Find the general solution for x(t), under the assumption that w. You do not need to impose initial conditions here. ii. What is the range of for which the above solution is (1) heavily damped; (2) lightly damped. What happens to the above solution and the physical system when y = w?
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