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 Xoo Xo/wO VolwO -Vo/wAn 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 SAn 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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