In problem 33 write the equation of motion in the form x(t) = Asin(t + ) +

In problem 33 write the equation of motion in the form x(t) = Asin(ωt + ϕ) + Be^-2tsin(4t + θ). What is the amplitude of vibrations after a very long time?

Problem 33

When a mass of 2 kilograms is attached to a spring whose constant is 32 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 68e^-2t cos 4t is applied to the system. Find the equation of motion in the absence of damping.