Problem 2

Fourier transform analysis using Library of transforms. This is another Fourier transform

analysis problem. Consider a one degree-of-freedom damped spring-mass system governed by the

differential equation ÿ+2y+26y = 26u, where y is the position of the mass relative to it's equilibrium

position and u is a force that is applied to the mass. The force input u is the same as the previous

problem, i.e. (1). Solve for y on the time interval (-∞, ∞). Graph y on the interval [-3,3] second.

Hint: Once ŷ is determined, use a partial fraction expansion and the "Library" from Homework 6

to reverse-engineer the time functions associated with the terms in the partial fraction expansion.