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a 3 kg mass is attached to a spring whose constant is 147 N/m, comes to...

a 3 kg mass is attached to a spring whose constant is 147 N/m, comes to rest in the equilibrium position. Starting at  t = 0, a force equal to  f (t)  =  12e−5t cos 2t  is applied to the system. In the absence of damping,
(a) find the position of the mass when  t = π.
(b) what is the amplitude of vibrations after a very long time?
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