A damped and driven oscillator has k = 3.0 N/m m =0.10 kg, b = 0.020 Ns/m with a driving force of F(t) =Focos(wt) where Fo=1.0 Nand w =2.0 s-1 Once this oscillator settles down to steady-state (after transients have died out), the oscillator has regular motion of the form X(t) =Acos(wt - 6) What is 6 (in rad? The position of an object undergoing simple harmonic motion is X(t) =B1coswt +B2sinwt, In terms of the initial conditions Xo and Vo at t =0, what is the expression for B 2? O X0 O Vo o Vo/w o -vo/w An undamped oscillator has a period of To= 1.00 S. Adding a small amount of damping to the oscillator its period changes to T1=1.0ls What is the damping factor B (in s )? An undamped oscillator has a period of To=1.00 S Some weak damping is added to this oscillator such that its amplitude drops to 50% in one period 1. What is the damping factor P (in S

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A damped and driven oscillator has k = 3.0 N/m m =0.10 kg, b = 0.020 Ns/m with a driving force of F(t) =Focos(wt) where Fo = 1.ONand w = 2.0 s-
Once this oscillator settles down to steady-state (after transients have died out), the oscillator has regular motion of the form x(t) =Acos(wt - 6)
What is 6 (in rad?
The position of an object undergoing simple harmonic motion is X(t) = Bịcoswt +B2sinwt, In terms of the initial conditions Xo and Vo at t = 0, what is the expression for B2?
O Xo
o Xo/w
O Volw
O -Vo/w
An undamped oscillator has a period of To =1.00 S. Adding a small amount of damping to the oscillator its period changes to T1=1.0ls What is the damping factor B (in S
An undamped oscillator has a period of '0-1.00 S Some weak damping is added to this oscillator such that its amplitude drops to 50% in one period '1. What is the damping factor P
(in s-}7
Transcribed Image Text:A damped and driven oscillator has k = 3.0 N/m m =0.10 kg, b = 0.020 Ns/m with a driving force of F(t) =Focos(wt) where Fo = 1.ONand w = 2.0 s- Once this oscillator settles down to steady-state (after transients have died out), the oscillator has regular motion of the form x(t) =Acos(wt - 6) What is 6 (in rad? The position of an object undergoing simple harmonic motion is X(t) = Bịcoswt +B2sinwt, In terms of the initial conditions Xo and Vo at t = 0, what is the expression for B2? O Xo o Xo/w O Volw O -Vo/w An undamped oscillator has a period of To =1.00 S. Adding a small amount of damping to the oscillator its period changes to T1=1.0ls What is the damping factor B (in S An undamped oscillator has a period of '0-1.00 S Some weak damping is added to this oscillator such that its amplitude drops to 50% in one period '1. What is the damping factor P (in s-}7
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