The model of a certain mass-spring-damper system is 10x + cx + 20x = f(t) How large

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The model of a certain mass-spring-damper system is

10ẍ + cẋ + 20x = f(t)

How large must the damping constant c be so that the maximum steady-state amplitude of x is no greater than 3, if the input is f(t) = 11 sin cot, for an arbitrary value of ω?

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System Dynamics

ISBN: 978-0073398068

3rd edition

Authors: William Palm III

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Question Posted: Mar 17, 2016 03:26 AM

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The model of a certain mass-spring-damper system is 10x + cx + 20x = f(t) How large

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The maximum amplitude occurs at r The damping ratio is V c202 Thus Solve for V by squaring eac...View the full answer

System Dynamics

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