A simple harmonic oscillator, of mass mi and natural frequency ω0, experiences an oscillating driving force f(t)ma cos cot. Therefore, its equation of motion is dt2 where x is its position. Given that at t = 0 we have x = dx/dt 0, find the function x(t). Describe the solution if co is approximately, but not exactly, equal to coo-

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A simple harmonic oscillator, of mass mi and natural frequency ω0, experiences
an oscillating driving force f(t)ma cos cot. Therefore, its equation of motion is
dt2
where x is its position. Given that at t = 0 we have x = dx/dt 0, find the
function x(t). Describe the solution if co is approximately, but not exactly, equal
to coo-
Transcribed Image Text:A simple harmonic oscillator, of mass mi and natural frequency ω0, experiences an oscillating driving force f(t)ma cos cot. Therefore, its equation of motion is dt2 where x is its position. Given that at t = 0 we have x = dx/dt 0, find the function x(t). Describe the solution if co is approximately, but not exactly, equal to coo-
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