A cylindrical rod of constant shear modulus, G is of length L and located between z=0 and z=L. It has a polar moment of inertia given by J=(Jo)/(1-Z/L) and t=-sin(Z/2L) where Jo is a constant. The boundary conditions are d(o)/dz =0 AND (L)=0

Find (z) and graph (1/GJo)(Z), and (1/GJo)(d(Z)/dz)