Quat:$-$ Use the finite element method for hanging cable with bumped mase as shown in figure below to aphoximate its response $y(x,t)$ to the initial deflection given as $f(x,0)=025y(x,0)=0\mathrm{.}25x(x-0\mathrm{.}6).$ Note that the tension in the calle is $T(x)=g(L-x)+my$

Atsume that $y(x,0)=0,L=1m,p=1k\frac{g}{m}m=2kg,g=9\mathrm{.}81\frac{m}{s^2}.$

Cowpute $y(x,t)$ for each $n=2,3,4,5$ ansd for eacw $n$ plot $y(L,t)$ val time for $10$ teconds. Plot abo ${}_1($lowert fle enancy$)$ Va$.n$ to show the convergence of the Andution.