Problem #7: 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¯5t cos 4t 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? Problem #7(a): Round your answer to 4 decimals. Problem #7(b):
