Math
posted by Darren on .
An external sinusoidal force is applied to an oscillating system which can be modelled by a model spring and a damper. The general solution of the equation of the motion is given by,
x = 5 + 3.071cos(2πt – β) + 3.14exp(7.96t) cos(αt + φ)
where α, β, and φ are some constants.
Determine the amplitude of the oscillation when steadystate is reached. Give your answer correct to 3 decimal places.

Since the steady state is just
x = 5 + 3.071cos(2πt – β)
then the amplitude will be 3.071