$-5-71.$ Consider the general problem of a circular shaft made from $m$ segments, each having a radius of $c_m$ and shear modulus $G_m.$ If there are $n$ torques on the shaft as shown, write a computer program that can be used to determine the angle of twist of its end $A.$ Show an application of the program using the values $L_1=0\mathrm{.}5m,c_1=0\mathrm{.}02m,G_1=30$GPa, $L_2=1\mathrm{.}5m,c_2=0\mathrm{.}05m,G_2=15$GPa,$T_1=-450N*m,d_1=0\mathrm{.}25m,T_2=600N*m,d_2=0\mathrm{.}8m.$