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15-04-2024
Mathematics

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Find the response of a damped single-degree-of-freedom system with the equation of motion
mx + cx + kx = f(t)
using Runge-Kutta method. Assume that m = 5 kg, c = 20 N-s/m, k = 750 N/m, and
f(t) = {F₀t / t₁ 0 ≤ t ≤ t₁
{F₀; t ≥ t₁
with F₀ = 2000 N and t₁ = 6s

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