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Python: We want to find the position, as a function of time, of a damped harmonic...

Python: We want to find the position, as a function of time, of a damped harmonic oscillator. The equation of motion is

             m d2x/dt2 = -kx – b dx/dt,      x(0) = 0.5, dx/dt (0) = 0

Take m = 0.25 kg, k = 100 N/m, and b = 0.1 N.s/m.

Solve x(t) for t in the interval [0, 10T], where T = 2π/ω, and ω2 = k/m.

please write the code.

Divide the interval into N = 104 intervals: ti = i*h, I = 0, 1, 2, …, N, where h = 10T/N.

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Answer #1

for the given situation x(0) = not zero we choose cosine and rejected sine

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