Damped Oscillator Consider a 5. weakly damped oscillator with B < wo. There is a little difficulty defining the "period" Ti since the motion is not periodic However, a definition that makes sense is that T1 is the time between successive maxima of r(t) (a) Make a sketch of x(t) against t and indicate this definition of T1 on your graph. Show that T1 27T/w1 (b) Show that an zeros of xt). Show this one on your sketch. (c) If B = wo/2, by what factor does the amplitude shrink in one period? equivalent definition is that Ti is twice the time between successive 11

Damped Oscillator Consider a 5. weakly damped oscillator with B < wo. There is a little difficulty defining the "period" Ti since the motion is not periodic However, a definition that makes sense is that T1 is the time between successive maxima of r(t) (a) Make a sketch of x(t) against t and indicate this definition of T1 on your graph. Show that T1 27T/w1 (b) Show that an zeros of xt). Show this one on your sketch. (c) If B = wo/2, by what factor does the amplitude shrink in one period? equivalent definition is that Ti is twice the time between successive 11

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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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Question

Damped Oscillator Consider a
5.
weakly damped oscillator with B < wo.
There is a little difficulty defining the "period" Ti since the motion is not periodic
However, a definition that makes sense is that T1 is the time between successive maxima
of r(t)
(a) Make a sketch of x(t) against t and indicate this definition of T1 on your graph. Show
that T1 27T/w1
(b) Show that an
zeros of xt). Show this one on your sketch.
(c) If B = wo/2, by what factor does the amplitude shrink in one period?
equivalent definition is that Ti is twice the time between successive
11

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