Here's the problem: Follow the link
Can someone please explain how to start this problem? I have been staring at it for a long time and I'm not sure where to begin.
where $\displaystyle F_1(s) = Aw\frac{1+e^{-sT/2}}{s^2+w^2}$ "bear with me while I format this properly"
The easiest way is to integrate directly:
$$F_1(s)=\int_0^{\infty}(u(t)-u(t-\frac{T}{2}))A\sin(\omega t)e^{-st}dt$$ $$=\int_0^{\frac{T}{2}} A\sin(\omega t)e^{-st} dt$$ $$=A\omega(\frac{1 + e^\frac{-T s}{2}}{s^2 + \omega^2})$$
where $\omega T=2\pi$.
$$~$$ $$~$$