0
answers
0
watching
97
views
19 Nov 2019
A driven harmonic oscillator has the equation x.. + 2 beta x. + omega o 2 x = A cos (omega t - phi) Write an expression for the motion x(t) which is valid at late times (after the initial conditions are forgotten and it is responding only to the driving force). Let omega o = 3 rad/s, omega = 4 rad/s, and beta = 1/s. By how many radians does the motion log (or lead) the driving force? What is the resonant frequency of this oscillator (using values given in part b)? Compute the quality factor Q. Draw the, appropriate curve from figure 3-1b(b) and plot the point (omega, delta) as well as (omega o, pi/2).
A driven harmonic oscillator has the equation x.. + 2 beta x. + omega o 2 x = A cos (omega t - phi) Write an expression for the motion x(t) which is valid at late times (after the initial conditions are forgotten and it is responding only to the driving force). Let omega o = 3 rad/s, omega = 4 rad/s, and beta = 1/s. By how many radians does the motion log (or lead) the driving force? What is the resonant frequency of this oscillator (using values given in part b)? Compute the quality factor Q. Draw the, appropriate curve from figure 3-1b(b) and plot the point (omega, delta) as well as (omega o, pi/2).