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The differential equation describing a simple harmonic oscillator is i + w?x = 0 By rescaling the time, t → AE, transform the equation to the form +x = 0. b. . ]What is 2? c. . 3]If you were to plot the velocity, v = as a function of x, what would the resulting curve look like? dv d. .- ] Suppose the equation had a damping term, would the graph of v vs. x look like then? + 2yv + x = 0. What di

The differential equation describing a simple harmonic oscillator is i + w?x = 0 By rescaling the time, t → AE, transform the equation to the form +x = 0. b. . ]What is 2? c. . 3]If you were to plot the velocity, v = as a function of x, what would the resulting curve look like? dv d. .- ] Suppose the equation had a damping term, would the graph of v vs. x look like then? + 2yv + x = 0. What di

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7. The differential equation describing a simple harmonic oscillator is * + w?x = 0 By rescaling the time, t → AË, transform the equation to the form a. +x = 0. b. .] What is 1? c. . the resulting curve look like? d. :,- 1 Suppose the equation had a damping term, dt 3] If you were to plot the velocity, v = as a function of x, what would dv + 2yv + x = 0. What di would the graph of v vs. x look like then?
Transcribed Image Text:7. The differential equation describing a simple harmonic oscillator is * + w?x = 0 By rescaling the time, t → AË, transform the equation to the form a. +x = 0. b. .] What is 1? c. . the resulting curve look like? d. :,- 1 Suppose the equation had a damping term, dt 3] If you were to plot the velocity, v = as a function of x, what would dv + 2yv + x = 0. What di would the graph of v vs. x look like then?
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