When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 68e-2t cos(4t) is applied to the system. Find the equation of motion in the absence of damping. x(t) = m

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Chapter2: Second-order Linear Odes
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When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 68e-2t cos(4t) is applied to the system.
Find the equation of motion in the absence of damping.
x(t) =
m
Transcribed Image Text:When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 68e-2t cos(4t) is applied to the system. Find the equation of motion in the absence of damping. x(t) = m
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