In: Physics
| When a 5 kg mass is attached to a spring whose constant is
180 N/m, it comes to rest in the equilibrium position. Starting at
 t = 0, a force equal to  f (t)  = 
20e−3t cos 6t  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 |