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When a 6 kg mass is attached to a spring whose constant is 294 N/m, it comes to...

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Physics

When a 6 kg mass is attached to a spring whose constant is294 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to  f (t)  = 12e−4t cos 3t  is applied tothe 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 longtime?

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