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When a 7kg mass is attached to a spring whose constant is 112N/m, it comes to rest in the equilibrium position. Starting at t =
When a 7kg mass is attached to a spring whose constant is 112N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 35e2tcos4t 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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