When a 5kg mass is attached to a spring whose constant is 45N m, it comes to rest in the equilibrium position Starting at t 0, a force equal to f ( t ) 30 e 5 t cos4 t is applied to the system In the absence of damping, (a) find the position of the mass when t (b) what is the amplitude of vibrations after a very long time

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Question: When a 5kg mass is attached to a spring whose constant is 45N/m, it comes to rest in the equilibrium position. Starting at t =

When a 5kg mass is attached to a spring whose constant is 45N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 30e⁵^tcos4t is applied to the system. In the absence of damping,

(a)

find the position of the mass when t = .

(b)

what is the amplitude of vibrations after a very long time?

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