Mathematics, 26.02.2020 19:53 tyliyahmiles99
Consider the equation d 2 dt2 + k m y = 0 for the motion of a simple harmonic oscillator. (a) Consider the function y(t) = cos βt. Under what conditions on β is y(t) a solution to the differential equation? (b) What initial condition (t = 0) in the yv-plane corresponds to this solution? (c) In terms of k and m, what is the period of this solution? (d) Sketch the solution curve in the yv-plane that corresponds to this solution.
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Consider the equation d 2 dt2 + k m y = 0 for the motion of a simple harmonic oscillator. (a) Consid...
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