PLEASE INCLUDE THE TORQUE DIAGRAM AS MENTIONED!

A homogeneous shaft with a circular cross$-$section $($diameter d $)$ is clamped

at point A and subjected to two external torques M$\_(0)$ and M$\_(1)$ at points B and C$.$

a$)$ The external torque M$\_(0)$ is given. Determine M$\_(1)$ so that the angle of twist is zero at the free end C$.(2$ points$)$

b$)$ Calculate the maximum shear stress and its location in this case. $(2$ points$)$

Besides the calculation of the torque, the torque diagram along the circular shaft should be plotted.