User:EGM6341.S11.team5.cavalcanti/Mtg41

Mtg 41: Wed, 13 Apr 11 [[media:Nm1.s11.mtg41.djvu | Page 41-1]]

HW 7.2: Cont'd 1) Reproduce the results in S10 using the same $$T(t)$$ and $$\alpha(t)$$. Compute $$ J_{\color{blue}{1}}= \int_{t=0}^{t=t_{f}}\underbrace{y(t)dt}_{\color{blue}{\geqslant 0}}$$ such that $$ y(t_{f})=0$$. 2) Use the same $$T(t)$$ and $$\alpha(t)$$ as follows. Plot all quantities (state variables) $$x, y, v, \alpha$$ versus t. [[media:Nm1.s11.mtg41.djvu | Page 41-2]]

Compute $$ J_{\color{blue}{2}}= \int_{t=0}^{t=t_{f}}\underbrace{y(t)dt}_{\color{blue}{\geqslant 0}}$$ such that $$ y(t_{f})=0$$ and compare J2 to J1.