A sinusoidally varying driving force is applied to a damped harmonic oscillator. (a) What are the units
Question:
(a) What are the units of the damping constant b?
(b) Show that the quantity km has the same units as b.
(c) In terms of Fmax and k, what is the amplitude for Ïd = k/m when (i) b = 0.2 km and (ii) b = 0.4 km? Compare your results to Fig. 14.28.
Figure 14.28:
Transcribed Image Text:
Each curve shows the amplitude A for an oscillator subjected to a driving force at various angular frequencies wg. Sucessive curves from blue to gold represent A successively greater damping. 5Fmak b = 0.2, km A lightly damped oscillator exhibits a sharp resonance peak when w, is close to w (the natural angular frequency of an undamped oscillator). 4Fmk ЗF b = 0.4,km Stronger damping reduces and broadens the peak and shifts it to lower frequencies. 2Fiman/k b = 0.7, km b = 1.0,km Fma/k --. If b z 2km, the peak disappears completely. b = 2.0,km 0.5 1.0 1.5 2.0 Driving frequency wg equals natural angular frequency w of an undamped oscillator.
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Related Book For
University Physics with Modern Physics
ISBN: 978-0321696861
13th edition
Authors: Hugh D. Young, Roger A. Freedman, A. Lewis Ford
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