The angular motions of two simple pendulums connected by a soft spring of stiffness k as shown in Figure $1$ are described by$1($t$)=$ Acos$1$tcos$2$t$,$ and $2($t$)=$ Asin$1$tsin$2$t where A is the amplitude of angular motion and $1$ and $2$ are given byk sl rg $1=8$m g$,$ and $2=$ l$+1$Plot the functions $1($t$)$ and $2($t$)$ for $0$ t $13\mathrm{.}12$s and discuss the resulting motions for the following data: k $=1$N$/$m$,$ m $=0\mathrm{.}1$kg$,$ l $=1$m$,$ and g $=9\mathrm{.}81$m$/$s$2.$

Matlab code needed