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1. A damped harmonic oscillator is driven by a sinusoidal force f(t) = focos wt: dx dt d²x m +b +kx=fo cos wt. dt2 At t1/, displacement x(t) of the point mass of the oscillator is where fo x(t) 1 m [(ww²)²+4y²w²] 1/2 k b ωο Υ and cos M 2m' sin(wt), 2γω - [(ww²)2 + 472w2] 1/2* (1) (1) Find the work done by the sinusoidal force on m in one period of the oscillation. (2) Find the work done by the damping force -bv on m in one period of the oscillation.

1. A damped harmonic oscillator is driven by a sinusoidal force f(t) = focos wt: dx dt d²x m +b +kx=fo cos wt. dt2 At t1/, displacement x(t) of the point mass of the oscillator is where fo x(t) 1 m [(ww²)²+4y²w²] 1/2 k b ωο Υ and cos M 2m' sin(wt), 2γω - [(ww²)2 + 472w2] 1/2* (1) (1) Find the work done by the sinusoidal force on m in one period of the oscillation. (2) Find the work done by the damping force -bv on m in one period of the oscillation.

College Physics
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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1. A damped harmonic oscillator is driven by a sinusoidal force f(t) = focos wt: dx dt d²x m +b +kx=fo cos wt. dt2 At t1/, displacement x(t) of the point mass of the oscillator is where fo x(t) 1 m [(ww²)²+4y²w²] 1/2 k b ωο Υ and cos M 2m' sin(wt), 2γω - [(ww²)2 + 472w2] 1/2* (1) (1) Find the work done by the sinusoidal force on m in one period of the oscillation. (2) Find the work done by the damping force -bv on m in one period of the oscillation.
Transcribed Image Text:1. A damped harmonic oscillator is driven by a sinusoidal force f(t) = focos wt: dx dt d²x m +b +kx=fo cos wt. dt2 At t1/, displacement x(t) of the point mass of the oscillator is where fo x(t) 1 m [(ww²)²+4y²w²] 1/2 k b ωο Υ and cos M 2m' sin(wt), 2γω - [(ww²)2 + 472w2] 1/2* (1) (1) Find the work done by the sinusoidal force on m in one period of the oscillation. (2) Find the work done by the damping force -bv on m in one period of the oscillation.
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