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= When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at t=0, a force equal to f(t) = 24e-4t cos 5t is applied to the system. In the absence of damping, (a) find the position of the mass when t = 7. (b) what is the amplitude of vibrations after a very long time? 0:-0.0008 0 Round your answer to 4 decimals. Round your answer to 4 decimals.
Transcribed Image Text:= When a 4 kg mass is attached to a spring whose constant is 100 N/m, it comes to rest in the equilibrium position. Starting at t=0, a force equal to f(t) = 24e-4t cos 5t is applied to the system. In the absence of damping, (a) find the position of the mass when t = 7. (b) what is the amplitude of vibrations after a very long time? 0:-0.0008 0 Round your answer to 4 decimals. Round your answer to 4 decimals.
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