If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant $4 \frac{lb}{in}$ is suddenly set in motion at $t = 0$ by an external force of 144 cos(8t) lb, determine the position of the mass at any time t. Assume that $g = 32 \frac{ft}{s^2}$. Solve for u, where u is in feet and t is in seconds. u(t) =
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u(t) = 36 * (cos(8t)/4) + 1.5 * (1 - cos(8t)) + 9 * (sin(8t)/8) + 0 Show more…
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